The three angles of a triangle have
measures of 56°, (2x + 4)º, and xº
What are the measures of the three
angles of the triangle? (TEK 8.8D)
A. 56°, 80°, 44°
B. 56°, 90°, 34°
C. 56°, 84°, 40°
D. 56°, 60°, 64°
Answer:
56°, 84°, 40°
Step-by-step explanation:
The three angles of triangles have measures of 56°, (2x + 4)º, and xº.
We need to find the measures of the three angles of the triangle.
We know that, the sum of angles of triangle is equal to 180º. Using this property we get :
56°+ (2x + 4)º + xº =180º
Solving for x.
60 + 3x = 180
3x = 120
x = 40º
Other angle, = 2x+4
= 2(40)+4
= 80+4
= 84º
So, the measures of the three angles of the triangle are 56°, 84°, 40°. Hence, the correct option is (c).
What is the solution to the equation below?
-7+√√2x-3=2
O A. 1
B. 36
C. 42
OD. 14
Answer:
None of the options match the answer
Answer - x=10.090758
Step-by-step explanation:
−7+√√2x−3=2
Simplifies to:
1.189207x−10=2
Let's solve your equation step-by-step.
1.189207x−10=2
Step 1: Add 10 to both sides.
1.189207x−10+10=2+10
1.189207x=12
Step 2: Divide both sides by 1.189207.
1.189207x/1.189207=12/1.189207
x=10.090758
What is the radius of a sphere with a surface area of 100Ttcm??
10 cm
3 cm
5 cm
25 cm
1) Find the product. -2/9 x -5/3
Answer: The answer is 10/27
Step-by-step explanation:
Circle A has a diameter of 9 cm. Circle B has a radius of 5 cm.
Which circle has the larger circumference?
Answer:
so that would mean about how many more cm is B from a or A from B
Step-by-step explanation:
Answer:
Circle B
Step-by-step explanation:
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
In PQR, PQ= 5.4, QR= 3.6, and PR=6.2. To the nearest Tenth, what is M∠R
Therefore , the solution of the given problem of angles comes out to be M∠R measured at 45.4 degrees, to the closest tenth.
An angle meaning is what?The intersection of the lines that form a skew's ends determines the size of its biggest and smallest walls. There's a possibility that two paths will intersect at a junction. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by placing two line beams in various configurations between their ends.
Here,
To determine the size of angle R in triangular PQR, we can apply the Law of Cosines:
=> cos(R) = (PQ₂ + PR₂ - QR₂) / (2 * PQ * PR)
=> cos(R) = (5.4₂ + 6.2₂ - 3.6₂) / (2 * 5.4 * 6.2)
=> cos(R) = 0.6960917
When we calculate the inverse cosine of both sides, we obtain:
=> R = cos⁻¹(0.6960917)
=> R equals 45.4 degrees
Angle R in triangle PQR is therefore measured at 45.4 degrees, to the closest tenth.
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Given that cos(θ)=−2√13/13, and θ is in Quadrant II, what is sin(θ)?
Report your answer as a rationalized fraction.
The value of sin(θ) = 3√13/13
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
if cos(θ) = adj/hyp = 2√13/13
then
2√13 = adj, hyp = 13
opp = √ 13²- 2√13)²
= √169- 52
= √117
= √13 × 9
= 3√13
since the θ is in second quadrant, cosine will be negative and sine will be positive
therefore sin(θ) = 3√13/13
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I need help with this
i cannot help with all this but 16 would be 33 ft
after a deposit of $100, a withdrawal of $125, and a deposit of $24, the balance in a savings account was $27.28. what was the balance of (b) before the deposits and withdrawal?
Let the total amount of money in the account before withdrawal or deposit of funds be x
so that for every withdrawal we subtract from x and add for a deposit and equate this to the balance after withdrawal and deposits
x + 100 -125 + 24 = 27.28
x = 27.28+125-24-100
x= $28.28
Balance before deposits or withdrawal = $28.28
What’s a cows favorite type of math?
Answer:
mooltiplication
The solution is, Multiplication is a cows favorite type of math.
What exactly is the Purple Cow Poem about?Gelett Burgess, author of The Purple Cow (1866–1951), I've never seen a Purple Cow and I've never hoped to; nevertheless, I can tell you that I'd much prefer see than be one. Death is a definite fact and a guarantee of life. Despite his unflinching devotion, Andrew Hudgins admits that the cow will inevitably die when it becomes feeble since he will slaughter it in stanza three. When she becomes too weak to provide us with fresh cream, we will cut her scarlet throat. Gelett Burgess, an American author, wrote a brief nonsensical poem titled "Purple Cow." In 1895, it was first printed.
here, we have,
In an experimental setup the independent variable is the one which can be changed and manipulated in an experiment the effect of which is observed on the dependent variable (s). The dependent variable is the one which cannot be manipulated in an experiment instead the changes occurring in a dependent variable are because of the manipulation of the independent variable. The dependent variable represents the outcome of the experiment.
According to the given situation, type of feed is the independent variable this is because of the fact that the there were two type of feeds were used one was experimented feed other was regular feed. The effect of both type of feeds has been observed on the weight of the cow which is the dependent variable.
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Solve for x...............
Answer:
x = 12 degrees
Step-by-step explanation:
They all have to add up to 360, so:
\(5x + 4 + 4x+9+7x+4+9x-6+4x+1=360\\29x + 12 = 360\\29x = 348\\x = 12\)
graph the function y=[x-3] on the set of axis below
Answer:
Step-by-step explanation:
To graph a function, you have to select x-values and plug them into the equation. Once you plug those values into the equation, you will get a y-value. Your x-values and your y-values make up your coordinates for a single point.
The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
a right triangle has sides 8,15, and 17 Use these lengths to find tanL, sinL, and cosL
The cosine of an angle in a right triangle is defined as the ratio of the length of the leg adjacent to the angle to the length of the hypotenuse.
\(tanL = 15/8\)\(sinL = 15/17\)\(cosL = 8/17\)
What are the properties of a right triangle?In a right triangle, the side opposite the right angle is called the hypotenuse (in this case, it's the side with length 17).
The other two sides are called the legs. We can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
hypotenuse^2 \(= leg1^2 + leg2^2\)
For this triangle, we have:
\(17^2 = 8^2 + 15^2\)
Simplifying this equation, we get:
\(289 = 64 + 225\)
Therefore, the equation is true, and we have verified that this is a right triangle.
Now, we can use the trigonometric ratios to find the values of tanL, sinL, and cosL, where L is the angle opposite the leg with length 8.
The tangent of an angle in a right triangle is defined as the ratio of the length of the leg opposite the angle to the length of the leg adjacent to the angle. Therefore, we have:
tanL = opposite/adjacent \(= 15/8\)
The sine of an angle in a right triangle is defined as the ratio of the length of the leg opposite the angle to the length of the hypotenuse. Therefore, we have:
sinL = opposite/hypotenuse \(= 15/17\)
The cosine of an angle in a right triangle is defined as the ratio of the length of the leg adjacent to the angle to the length of the hypotenuse. Therefore, we have:
cosL = adjacent/hypotenuse = 8/17
Therefore, , the values we found are:
\(tanL = 15/8\)
\(sinL = 15/17\)
\(cosL = 8/17\)
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In the figure below, XY is the mid segment of trapezoid ABCD. Find the length of XY
Answer: The midsegment is 12 for x to y
Step-by-step explanation:
15+9=24 divided by 2 is 12
20% of what numbner is 100
Answer:
The number is 500.
Step-by-step explanation:
Let n be the number
Convert percent to decimal
20% = 0.20
0.20n = 100
Divide both sides of the equation by 0.20
0.20n/0.20 = 100/0.20
n = 500
The cost to travel X miles east or west on a train is the same. The function for the cost
c(x) = 0.75|x| + 25.
Describe how c(x) is related to its parent function and interpret the function in the context of the situation.
C(x) is related to its parent function c(x) = 0.75|x| + 25.
The function in the context of the situation illustrated that the cost is the same.
How to illustrate the information?It should be noted that a function is used to show the relationship between the variables.
In this case, the cost to travel X miles east or west on a train is the same. The function for the cost is given as c(x) = 0.75|x| + 25.
Let East = positive direction
Let West = negative direction
Let the travel distance in East = x
Travel distance for West = -x mile
The cost to travel East x miles will be:
= 0.75(x) + 24
= 0.75x + 25
The cost to travel West will be:
c(-x) = 0.75x + 25
This shows that the cost will be the same even though there in different directions.
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What is 130 rounded to the nearest hundred?
Hope this helps.
Step-by-step explanation:
the answer is 100
rearrange the formula to make x the subject 4(x-3)/a=y
Answer:
x=3+ay/4a
Step-by-step explanation:
4(x-3)/a=y
a*4(x-3)/a=a*y
4a(x-3)=ay
4a(x-3)/4a=ay/4a
x-3=ay/4a
x-3+3=3+ay/4a
x=3+ay/4a
Can someone please answer this for me I’ll love you forever please ASAP
Answer:
17
Step-by-step explanation:
Using the distributive property, we can rearrange the expression into this:
-4^2+-4+5
Which when expanding, is:
16+-4+5, which gives 17.
Number of 16ths when 12 13/16 is changed to an improper
fraction.
Plzzzzz help
Answer:
105/16
Step-by-step explanation:
12 * 16 = 192
192 + 13 = 205
I hope this helped, please mark Brainliest, thank you!
In the late 1980's, WY's regular automobile license plate was 4 digits. How many plates could be made?
Answer: 32
Step-by-step explanation:
Hello! I am having a hard time grasping this concept
According to Mai's experiment the experimental probability of landing on blue is 0.188. Based on the data, the theoretical probability of landing on blue is 0.2. In accordance with the above, we can infer that the more launches, the closer the experimental and theoretical probability will be.
How to find the experimental probability of landing on blue?To find the experimental probability of landing in blue, we must take 1,000 tosses as a reference. We must divide 1 in the number of launches:
1 / 1000 = 0.001Now we need to multiply this result by the number of times it landed on blue
0.001 * 188 = 0.188How to find the theoretical probability of landing on blue?To find the experimental probability of landing on blue we must divide 1 into the number of possibilities we have, in this case they are 10.
1 / 10 = 0.1Now we must multiply this value by the number of opportunities we have to fall into blue, that is, 2.
0.1 * 2 = 0.2Which statement is correct?Based on the information, we can infer that the most accurate statement with the information in the table is the first one because the theoretical and experimental probability are very close after 1,000 tosses.
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If it takes 2men 11 days to dig 7 well, how many days should 7men dig 21well
7 men should be able to dig 21 wells in approximately 4.7 days.
How to determine the number of daysFrom the question, we have the following parameters that can be used in our computation:
If it takes 2men 11 days to dig 7 well, How many days should 7men dig 21wellWe can use the formula:
Number of days = (number of wells * number of days per well) / number of men.
So, we have
Number of days per well for 2 men:
11 days / 7 wells = 1.5714 days per well.
Using the above as a guide, we have the following:
the number of days for 7 men to dig 21 wells:
21 wells * 1.5714 days per well / 7 men = 4.7142days.
Hence, the number of days is 4.7 days.
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What additional information is needed to prove the triangles are congruent by the SAS Postulate?
The additional information is needed to prove the triangles are congruent by the SAS Postulate is <ACB = <ACD.
We have, CB = CD
As, The SAS Congruence Theorem states that if two sides and the included angle of one triangle are congruent to the corresponding sides and included angle of another triangle, then the two triangles are congruent.
In triangle ACB and ACD
AC = AC (common)
CB= CD (given)
Now, to prove using SAS rule we need only one angle which is in between the two congruent sides then
<ACB = <ACD
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Fill in the banks if you had this question before!!
An equation for the total cars and trucks for dealership A is: x + y = 164.
An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.
The number of cars that dealership A sold is: 98 cars.
The number of trucks that dealership B sold is: 66 trucks.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;
x + y = 164.
Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;
2x + 0.5y = 229.
By solving the systems of linear equations simultaneously, we have:
2x + 0.5(164 - x) = 229
1.5x + 82 = 229
x = 98 cars.
For the y-value, we have;
2(98) + 0.5y = 229
0.5y = 229 - 196
y = 33/0.5
y = 66 trucks.
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Geometry Section 58C/School Year/
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A
Part B, and Part C
Part A: How many triangles can be formed if the measurements of a triangle are a 27,6-15, A-557
Part B: Explain how to determine the answer to Part A
Part C: Find all possible solutions for this triangle.
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1. Triangle inequality theorem.
3. The missing lengths and angles are:
<B = 27.07, <C = 98 and c = 32.64.
1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.
3. We have,
a = 27, b = 15, and A = 55°,
Using the Law of Sines,
sin A/ a = sin B/ b
sin 55 /27 = sin B / 15
0.81915204428 / 27 = sin B /15
0.4550844690444 = sin B
<B = 27.07
Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98
Now, Using the Law of Sines
sin A/ a = sin C/ C
0.81915204428 / 27 = sin 98 / c
0.030338964602963 = 0.99026807 /c
c = 32.64
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5) Find the distance between -9 and 12 on a number line.
Answer: Hope this helps!!!
Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.
Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.
Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.