Answer:
Adele is not correct.
Step-by-step explanation:
The statement in itself wields an incorrect answer. However, when she states "sixty-two hundredths" it is further proven incorrect. This is because the 0.062 part of the total 0.462 would be pronounced as 62 thousandths.
Therefore, Adele is incorrect. The correct answer, however, would be: "Zero and four-hundred sixty-two thousandths."
If you spend $3.00 on 6 apples, what is the unit rate (in dollars) per apple?
Answer:
0.50 cents an apple
Step-by-step explanation:
50 Points
Suppose a Ford Taurus is passing under an overpass. The height of the overpass is 17 feet (5.2 meters) above the road. At what minimum distance would the driver of the Taurus be able to see a vehicle at the top of the overpass using their rearview mirror. Suppose that the mirror is at the maximum angle permitted to see out the back window.
Extra (if you aren't tired of answering the first): Also calculate the angle and distance of the vehicle for an overpass height of 15 feet. And further calculate the distance with a mirror that is at the normal angle at both overpass heights.
The minimum distance the driver of the Taurus be able to see a vehicle
is 24.04 feet.
What is Angle of Elevation?The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
Given:
The mirror is at the maximum angle, can be considered as 45 degree.
Using Trigonometry
sin 45 = P/ H
1/ √2 = 17/ H
H = 17√2
H = 24.04 feet.
Learn more about Trigonometry here:
https://brainly.com/question/21137209
#SPJ1
Sherry is making snack mix for a school field trip.
The recipe shows the amount of each ingredient needed to make 6 bags.
Complete each statement to adjust the ingredients for each new situation if Sherry uses this recipe.
1. To make 18 bags of snack mix, Sherry needs____ cups of almonds
2. Sherry needs 6 cups of granola to make____ bags of the snack mix.
3. If Sherry uses 1 cup of cranberries, she will need to use____ cups of raisins.
4. The recipe will make____ bags of the snack mix if Sherry uses only 1 cup of granola.
Answer:
Step-by-step explanation:
1- To make 18 bags of snack mix, Sherry needs 4.5 cups of almonds.
As the original recipe is for 6 bags, and here Sherry wants to triple that amount. You have to multiply 1.5 x 3.
2- Sherry needs 6 cups of granola to make 12 bags of the snack mix.
If Sherry gets 6 bags using 3 cups of granola, she will get 12 by using 6 cups of granola.
3- If Sherry uses one cup of cranberries, she will need to use 2 cups of raisins.
As 1 cup of cranberries is the double of what the recipe states, Sherry should also double the amount of cups of raisins.
4- The recipe will make 2 bags of the snack mix if Sherry uses only one cup of granola.
As 1 cup of granola is a third of the amount detailed in the recipe for 6 bags, the amount of bags will also be reduced to a third. 6/3=2
PLZ MARK BRAINLIEST IT TOOK LONG TO WRITE PLZZ
in a Gallup youth survey done in 2000, 501 randomly selected American teenagers were asked how well they get along with their parents. A survey result was that of 270 teenagers said they get along "very well" with their parents. Use this to estimate the proportion who would say they got along "very well" with their parents, including a margin of error.
The margin of error would be 1 / √n, where n is the number of students asked.
Margin of error = 1/√501 = 0.0446
Multiply by 100 to change to a percent:
0.446 x 100 = 4.46%
Rounding may be off slighly, so it looks like b would be the correct answer.
HELP ME ASAP!!!!!!!!!!!!! FIRST ONE TO ANSWER GETS BRAINYEST
Dwight has 3 baseball cards, and Ellis has 9 baseball cards. If Dwight and Ellis put their baseball cards together and then divide them up equally, how many will each one of them have?
Answer:
6
Step-by-step explanation:
3+9=12 cards
12/2=6
Answer:
they will have 6
Step-by-step explanation:
3+9=12
12/2=6
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
CBA = 53°
DBC = 39°
Step-by-step explanation:
You have 2 angles, CBA and DBC.
Together, these form the angle DBA. (See attached image)
We know the following about the 2 angles:
CBA = 8x - 3
DBC = 5x + 4
Like we said, both of these together form the angle DBA. Thus:
DBA = CBA + DBC
Let's put in the values we know, 8x-3, 5x+4, instead of CBA and DBC:
DBA = 8x - 3 + 5x + 4
DBA = 13x - 3 + 4
DBA = 13x + 1
We also know that:
DBA = 92 (from the question)
Let's set our expression 13x + 1 equal to 92.
DBA = 13x + 1
DBA = 92
13x + 1 = 92
Subtract 1 from both sides:
13x = 91
Divide both sides by 13:
x = 91 / 13
x = 7
Now that we know x, we can find what CBA and DBC are.
CBA = 8x - 3
Replace x with 7:
CBA = 8*7 - 3
CBA = 56 - 3
CBA = 53
DBC = 5x + 4
Replace x with 7:
DBC = 5*7 + 4
DBC = 35 + 4
DBC = 39
Answer:
CBA = 53°
DBC = 39°
What is an ellipsoid? How does an ellipse differ from a sphere?
What is the equation for the flattering factor?
An ellipsoid is a three-dimensional geometric shape that resembles a stretched or flattened sphere. It is defined by two axes of different lengths and a third axis that is perpendicular to the other two. The equation for the flattening factor is given by \(\(f = \frac{a - b}{a}\),\)where \(a\) represents the length of the major axis and \(b\) represents the length of the minor axis.
An ellipsoid is a geometric shape that is obtained by rotating an ellipse around one of its axes. It is characterized by three axes: two semi-major axes of different lengths and a semi-minor axis perpendicular to the other two. The ellipsoid can be thought of as a generalized version of a sphere that has been stretched or flattened in certain directions. It is used to model the shape of celestial bodies, such as the Earth, which is approximated as an oblate ellipsoid.
An ellipse, on the other hand, is a two-dimensional geometric shape that is obtained by intersecting a plane with a cone. It is defined by two foci and a set of points for which the sum of the distances to the foci is constant. An ellipse differs from a sphere in that it is a flat, two-dimensional shape, while a sphere is a three-dimensional object that is perfectly symmetrical.
The flattening factor (\(f\)) of an ellipsoid represents the degree of flattening compared to a perfect sphere. It is calculated using the equation\(\(f = \frac{a - b}{a}\),\\\) where \(a\) is the length of the major axis (semi-major axis) and \(b\) is the length of the minor axis (semi-minor axis). The flattening factor provides a quantitative measure of how much the ellipsoid deviates from a spherical shape.
Learn more about Ellipsoid here
https://brainly.com/question/33590847
#SPJ11
what is the surface area of the prism
Answer:
SA=2B+ph,
Step-by-step explanation:
you should just know
plssssssssssssss help it is due to 30 minutes, i mark as brainliest if answered thank you
A ceramic coffee mug is cylindrical with a radius of 2 inches and a height of 3.75 inches. The inside of the mug is painted blue, while the exterior of the mug is painted beige and red.
Find the surface area of the mug that is painted blue.
Using it's formula, it is found that the surface area of the mug that is painted blue is of 36.13 square inches.
What is the surface area of a cylinder?The surface area of a cylinder of radius r and height h is given by:
\(S = 2\pi r(r + h)\)
Half of this area is inside the cylinder, and half is outside.
In this problem, the inside of the mug is blue, with r = 2 and h = 3.75, hence:
\(S_b = \pi r(r + h) = 2\pi(2 + 3.75) = 36.13\)
The surface area of the mug that is painted blue is of 36.13 square inches.
More can be learned about the surface area of a cylinder at https://brainly.com/question/14657844
If a Japanese company reported an 8.8 percent increase in net profit from last year’s 426 billion yen, what would be this year’s net profit in yen?
Answer:
463,488,000,000
Step-by-step explanation:
8.8% = .088
426,000,000,000 * .088 = 37,488,000,000
426,000,000,000 + 37,488,000,000 = 463,488,000,000
questions 1-5 please!
maths functions
Answer:
1) x < -1
2) x ≥ -1
3) x ≤ -1
4) x < -1 and x > 0
5) -1 < x < 0
Explanation:
(1) f(x) > 0
\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x-2 > \:0\)
\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x > \:2\)
\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x > \:2^{-1}\)
\(\sf \rightarrow x < -1\)
(2) f(x) ≤ 0
\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x-2 \leq \:0\)
\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x \leq \:2\)
\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x \leq \:2^{-1}\)
\(\sf \rightarrow x\geq -1\)
(3) g(x) ≥ 0
\(\sf \rightarrow -\dfrac{2}{x}-2 \:\geq \:0\)
\(\sf \rightarrow -\dfrac{2}{x} \:\geq \:2\)
\(\sf \rightarrow \dfrac{1}{x} \:\geq \:-1\)
\(\sf \rightarrow x \: \leq \:-1\)
(4) g(x) < 0
\(\sf \rightarrow -\dfrac{2}{x}-2 \: < \: 0\)
\(\sf \rightarrow x < -1 \ or \ x > 0\)
Observe the graphs a find solution for g(x) < 0
(5) f(x) < g(x)
\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x-2 < -\dfrac{2}{x}-2\)
\(\sf \rightarrow -1 < x < 0\)
The probability that an event will happen is . What is the probability that the event will not happen?
5/8
0
3/8
PLEASE HELP!!! i'm terrible at graphing.
The graph of the given function, g(x) = -5^x + 5, is shown below
Graphing a functionFrom the question, we are to graph the given function.
From the given information,
The given function is
g(x) = -5^x + 5
To graph the function, we will determine some of the points on the line
When x = -2
g(2) = -5^(-2) + 5
g(2) = -1/25 + 5
g(2) = 4 24/25 = 4.96
When x = -1
g(1) = -5^(-1) + 5
g(1) = -1/5 + 5
g(1) = 4 4/5 = 4.8
When x = 0
g(0) = -5^(0) + 5
g(0) = -1 + 5
g(0) = 4
When x = 1
g(1) = -5^(1) + 5
g(1) = -5 + 5
g(1) = 0
When x = 2
g(2) = -5^(2) + 5
g(2) = -25 + 5
g(2) = -20
Using the above points, the graph of the function is shown below.
Learn more on Graphing a function here: https://brainly.com/question/347428
#SPJ1
To the nearest tenth of a foot, what is the thickness, T, of the cantilever at x=6 feet?
The nearest tenth of a foot, the thickness T of the cantilever at x = 6 feet is 7.6 feet.
The given equation for the bottom edge of the cantilever is y = 2Vx, where V is the height of the cantilever. Therefore, the height of the cantilever is:
V = y / (2x)
At x = 6 feet, the value of y is:
y = 2Vx = 2(3.2) = 6.4 feet
To find the thickness T at x = 6 feet, we can use the Pythagorean Theorem:
T² = b² - y²
where b is the height of the cantilever. We have already calculated V to be 3.2 feet, so:
b = 3.2 + y = 3.2 + 6.4 = 9.6 feet
Substituting these values into the equation for T², we get:
T² = (9.6)² - (6.4)² = 57.76
Taking the square root of both sides, we get:
T ≈ 7.6 feet
Learn more about the thickness at
https://brainly.com/question/30627552
#SPJ4
Tarik makes two large game mats for a bean bag toss. one mat is square and the other is an equilateral triangle. the square has a side length of x + 3 feet. the equilateral triangle has a side length of 3x - 1 feet. the perimeters of the mats are the same. what are the side lengths of each game mat? x
The side length of the square mat is 6 feet and the side length of the equilateral triangle mat is 8 feet, when x is equal to 3.
Let's solve for the side lengths of each game mat given the information provided.
For the square mat, the side length is given as x + 3 feet.
For the equilateral triangle mat, the side length is given as 3x - 1 feet.
To find the perimeters of the mats, we multiply the side length by the number of sides for each shape.
For the square mat:
Perimeter of square = 4 * (x + 3) = 4x + 12 feet
For the equilateral triangle mat:
Perimeter of triangle = 3 * (3x - 1) = 9x - 3 feet
Since both mats have the same perimeter, we can equate the two expressions:
4x + 12 = 9x - 3
To solve for x, let's simplify the equation:
12 + 3 = 9x - 4x
15 = 5x
Dividing both sides by 5, we find:
x = 3
Now that we have the value of x, we can substitute it back into the expressions for the side lengths of each mat:
For the square mat:
Side length = x + 3 = 3 + 3 = 6 feet
For the equilateral triangle mat:
Side length = 3x - 1 = 3(3) - 1 = 8 feet
Therefore, the side length of the square mat is 6 feet and the side length of the equilateral triangle mat is 8 feet, when x is equal to 3.
Learn more about side length here
https://brainly.com/question/30492167
#SPJ11
You are shopping for single-use cameras to hand out at a party. The daylight cameras cost $2.75 and the flash cameras cost$4.25. You must buy exactly 20 cameras and you want to spend between $65 and$75, inclusive. Write and solve a compound inequality for this situation. Then list all the solutions that involve whole numbers of cameras.
The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.
To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.
To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.
After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:
(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).
These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.
Learn more about compound inequality
brainly.com/question/17957246
#SPJ11
Which expression could be used to represent each bag?
Answer:12 in each bag
Step-by-step explanation:
7 are in each bag she puts stichers in the rest and there are 3 left so 7 plus 7 plus 7 equals 21 57-21 equals 36 36 divided by three is 12
“Em uma fazenda a soma entre o número vacas e de galinhas equivale a 72 e a diferença entre o número de vacas e o triplo do número de galinhas é -88.” Quantas galinhas há na fazenda?
Answer:
There are 40 hens on the farm
Step-by-step explanation:
Here, we want to know the number of hens on the farm.
Let the number of cows be c and the number of hens be h
From the first statement in the question;
c + h = 72 •••••••••••••(i)
From the second statement ;
c - 3h = -88 •••••••••(ii)
We can then solve both equations simultaneously to get h;
That would be easier by subtracting equation ii from i
Thus, we have;
(c-c) + h-(-3h) = 72-(-88)
4h = 160
h = 160/4
h = 40
There are 40 hens on the farm
On her first day in a hospital, Kiri receives u1 milligrams (mg) of a therapeutic drug. The amount of the drug Kiri receives increases by the same amount, d, each day. On the seventh day, she receives 21 mg of the drug, and on the eleventh day she receives 29 mg.
a. write down an equation, in the terms u1 and d, for the amount of the drug that she receives on the seventh day.
b. write down an equation, in terms of u1 and d, for the drug that she receives on the eleventh day.
c. write down the value of d and the value of u1.
Answer:
a. 21 = u1 + 6·d
b. 29 = u1 + 10·d
c. d = 2, u1 = 9
Step-by-step explanation:
a. The given parameters are;
The amount of therapeutic drug Kiri receives on her first at the hospital = u1 milligrams
The amount of drug increase received by Kiri each day = d
The amount of drug Kiri received on the seventh day = 21 mg
The amount of drug she received on the eleventh day = 29 mg
Therefore, we have an arithmetic progression with the formula for the nth term given as follows;
aₙ = a₁ + (n - 1)·d
Where;
a₁ = u1
n = The number of terms
Therefore, for the 7th day, the amount of drugs she receives, which is 21 milligrams, is given as follows;
a₇ = u1 + (7 - 1)·d = u1 + 6·d = 21
The equation for the amount of drugs she receives in terms of u1 and d on the seventh day is given as follows;
21 = u1 + 6·d
b. For the eleventh day, the amount of drugs she receives, which is 29 milligrams, is given as follows;
a₁₁ = u1 + (11 - 1)·d = u1 + 10·d = 29
Therefore, the equation for the amount of drugs she receives in terms of u1 and d on the eleventh day is given as follows;
29 = u1 + 10·d
c. Therefore, we have two equations which are given as follows;
21 = u1 + 6·d................(1)
29 = u1 + 10·d..............(2)
Subtracting equation (1) from equation (2) gives;
29 - 21 = (u1 + 10·d) - (u1 + 6·d)
8 = 4·d
d = 8/4 = 2
d = 2
From equation (1), we have;
21 = u1 + 6·d = u1 + 6×2 = u1 + 12
21 = u1 + 12
21 - 12 = u1
∴ u1 = 9
d = 2, u1 = 9.
For her final project Stacy plans on surveying random sample of 50 students on whether they plan to go to Florida for Spring Break From past years she guesses that about 11%0 of the class goes reasonable for her t0 use Normal model for the sampling distribution of the sample proportion? Why or why not?
To decide whether it is sensible for Stacy to utilize the ordinary show for the inspecting conveyance of the test extent, we got to check whether the conditions for utilizing the typical conveyance estimation are met. The conditions are:
The test estimate is expansive sufficient
The test information is autonomous
The populace is at slightest 10 times bigger than the test
The test estimate, in this case, is 50. To check whether it is expansive sufficient, ready to utilize the run the show of thumb that the test measure ought to be at the slightest 10% of the populace estimate.
Hence, based on these conditions, it is sensible for Stacy to utilize the ordinary demonstration for the inspecting conveyance of the test extent. She can accept that the testing dispersion is roughly typical with a cruel of p = 0.11 and a standard deviation of sqrt[(p(1-p))/n] = sqrt[(0.11(0.89))/50] = 0.05.
To learn about conveyance visit:
https://brainly.com/question/30420027
#SPJ4
The ratio of length to width of a rectangle is 14 to 6 a second rectangle has the same length to width ratio and its width is 9 inches what is the length of the second rectangle
The length to width ratio of the second rectangle is the same as the first rectangle, which is 14 to 6. Given that the width of the second rectangle is 9 inches, we need to find the length of the second rectangle.the length of the second rectangle is 21 inches.
The length to width ratio of the first rectangle is 14 to 6, which can be simplified to 7 to 3 by dividing both numbers by their greatest common divisor, which is 2.
Since the second rectangle has the same length to width ratio as the first, the ratio of its length to width is also 7 to 3. We are given that the width of the second rectangle is 9 inches.
To find the length of the second rectangle, we can set up a proportion using the ratio:
7/3 = x/9
Cross-multiplying, we get:
3x = 7 * 9
3x = 63
Dividing both sides by 3:
x = 63 / 3
x = 21
Therefore, the length of the second rectangle is 21 inches.
Learn more about rectangle here
https://brainly.com/question/29123947
#SPJ11
what goes in the parenthesis
Answer:
......-4 I think......
Answer:
x-4
Step-by-step explanation:
second equation includes 5y And we know from the 1st equation that y= x-4
so plug x-4 instead of y
someone please help
will give brainliest answer btw
thanks
Answer:
x = 112°
Step-by-step explanation:
Isosceles triangles always have 2 congruent base angles.
Working our way from right to left, we know the base angles are 17° each. Using the sum of interior angles of a triangle, we can find our 3rd angle.
180 - 17 - 17 = 146°
Now we can find the first base angle of the next triangle over because the 146 is part of a supplementary angle, meaning it will add up to 180.
180 - 146 = 34°
Since this is one of the base angles, label the other base and use the sum of interior angles of a triangle again.
180 - 34 - 34 = 112°
Another supplementary angle though this time it's formed from 3 angles.
180 - 112 - 17 = 51°
Label the other base and use the sum of interior angles of a triangle.
180 - 51 - 51 = 78°
3 angle supplementary angle.
180 - 78 - 34 = 68°
Label the other base. Since this is our last supplementary angle formed with only 2 angles, we can subtract 68 from 180 to get the value of x.
180 - 68 = 112°
Hope this helps~!
Consider a renewal process with mean interarrival time μ. Suppose that each event of this process is independently "counted" with probability p. Let NC(t) denote the number of counted events by time t,t>0 . (a) Is NC(t),t⩾0 a renewal process? (b) What is limt→[infinity]NC(t)/t?
a) NC(t) is not a renewal process.
b) The limit of NC(t)/t as t approaches infinity is equal to p/μ.
(a) To determine whether NC(t), t ⩾ 0, is a renewal process, we need to check whether it satisfies the two defining properties of a renewal process: (1) the interarrival times between consecutive events are independent and identically distributed, and (2) the interarrival times follow the same probability distribution as the original renewal process.
In this case, the interarrival times between consecutive counted events are not independent, because the presence of one event affects the probability of the next event being counted. Therefore, NC(t) is not a renewal process.
(b) To find the limit of NC(t)/t as t approaches infinity, we can use the law of large numbers, which states that the sample mean of independent and identically distributed random variables converges to the expected value of the random variable as the sample size increases.
Since each event is independently counted with probability p, the expected number of counted events by time t is p(t/μ). Therefore, by the law of large numbers, we have:
limt→∞ NC(t)/t = limt→∞ [p(t/μ)]/t = p/μ
To know more about probability here
https://brainly.com/question/11234923
#SPJ4
evaluate integral from 0^pi | cos s| ds
Therefore, the integral of |cos(s)| from 0 to π is 2.
To evaluate the integral of |cos(s)| from 0 to π, we first need to split the integral into two parts because the absolute value function affects the cosine function differently in the given interval.
1. Determine the intervals: From 0 to π/2, cos(s) is positive, so |cos(s)| = cos(s). From π/2 to π, cos(s) is negative, so |cos(s)| = -cos(s).
2. Split the integral: ∫₀ᵖᶦ |cos(s)| ds = ∫₀^(π/2) cos(s) ds + ∫(π/2)ᵖᶦ -cos(s) ds.
3. Integrate both parts: ∫₀^(π/2) cos(s) ds = [sin(s)]₀^(π/2), and ∫(π/2)ᵖᶦ -cos(s) ds = [-sin(s)](π/2)ᵖᶦ.
4. Evaluate the results: [sin(s)]₀^(π/2) = sin(π/2) - sin(0) = 1, and [-sin(s)](π/2)ᵖᶦ = -sin(π) + sin(π/2) = 1.
5. Add the two results: 1 + 1 = 2.
Therefore, the integral of |cos(s)| from 0 to π is 2.
To know more about the function visit :
https://brainly.com/question/11624077
#SPJ11
PLEASE HELP ME!!!!
answer options:
17°
107°
163°
34°
Answer:
the Answer is B 107⁰ its 180⁰-73⁰
Which of the following numbers would be an outlier if added to the data set below? 234, 187, 201, 199, 217, 200, 201, 193
A. 201
B. 235
C. 111
D. 204
From the given numbers, the number that would be an outlier if added to the set below is 111. Hence, option C is correct.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the data provided in the question,
The given numbers are:
234, 187, 201, 199, 217, 200, 201, 193
As we can see that all these numbers are close to 200.
Then the number which is far from 200 according to the option is 111, then it is an outlier.
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ1
what is 9 25/100 simplified?
Answer:
It is 9 1/4
Step-by-step explanation:
This is because 9 stays the same as the whole number, and 25 divided by 100 is 4. To check our work we can multiply 25 by 4 to get 100. Now we know we have the right answer.
"The beautiful part of learning is that no one can take it away from you" (:
find the measurement for angle A
Answer: that is a 45 degree angle
Step-by-step explanation: 90 / 2 is 45
Answer:
∠ A = 44°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
x + 59 + x + 51 + 84 = 180, simplify
2x + 194 = 180 ( subtract 194 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
Thus
∠ A = x + 51 = - 7 + 51 = 44°