Answers
the angles with parallel lines, are equal, this means:
and the angles A and D are congruent (opposite angles) and the same for C and B. So we can conclude, both angles we have are equal, so we can say:
7x-20=4x+16
and now we solve:
7x-4x=16+20
3x=36
x=36/3
x=12
So the answer is: x=12
Related Questions
((-3)^2)^4
Simplify the expression wrote your answer as a power
Answers
Answer:
(-3)^8
Step-by-step explanation:
How would you type the answer for GE as in picture for an edpuzzle answer ? What does the check mark symbol mean ?
Answers
Based on the image attached, the solution for GE is approximately 22.72.
What is the expression ?To be able to solve the equation √129 + √129 = GE, one need to simplify the expression and then isolate GE.
Step 1: One can add the square roots:
Note that the equation:
√129 + √129 = GE.
Step 2: Do put together the square root terms:
2√129 = GE.
Step 3: Then Divide by 2:
√129 = GE/2.
Step 4: The Square both sides:
129 = (GE²)/4.
Step 5: So, Multiply by 4:
516 = GE².
Lastly, Take the square root:
√516 = √(GE²)
√516 = GE
GE = 22.72. approx.
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See text below
Step 26
Solve the equation for GE:
√129+√129 = GE
GE=2/129
Show steps
Dean put together first boxes for 5 of his neighbors. Each box cost $1.00 and contained a plant and a $3.00 pair of gardening gloves. He spent a total of $42.50 on everything. How much did each plant cost?
Answers
5 x (1 + x + 3) = 42.50
Combine in parens.
5 x (4 + x) = 42.50
Distribute.
20 + 5x = 42.50
Subtract 20 from both sides.
5x = 22.50
Divide both sides by 5.
x = 4.50
Thats the cost of each plant.
Check.
5 x (1 + 4.50 + 3)
5 x 8.50 = 42.50
21947÷205 divide and check the result
Answers
Answer (3dp):
107.058
Step-by-step explanation:
(image is explanation)
Triangle ABC is a 45*-45*-90* triangle where two vertices are A(-2,2) and B(-2,6) and AB is a leg of the triangle. What are all the possible ordered pairs for C?
Answers
Midpoint formula: [(x1 + x2) / 2, (y1 + y2) / 2]
For A(-2,2) and B(-2,6), the midpoint coordinates are:
C = [(-2 + -2) / 2, (2 + 6) / 2] = [-2, 4]
So, the only possible ordered pair for point C in this 45°-45°-90° triangle is (-2, 4).
Find the value of x.
Answers
Answer:
x = 10
Step-by-step explanation:
You want the value of x in triangle RST with angle bisector UT dividing RS into parts RU=3x and US=x+2, while RT=40 and ST=16.
Angle bisectorThe angle bisector divides the sides of the triangle proportionally;
3x/40 = (x +2)/16
6x = 5x +10 . . . . . . . multiply by 80
x = 10 . . . . . . . . . subtract 5x
The value of x is 10.
<95141404393>
simplify the expression
Answers
Using the quote, "Those of us on the margins wonder if our stories matter" what is the significance of the quoted text?
Answers
The significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality.
What is a quote?Quote means to cite something as a form of proof. It has several other senses as a verb and a noun. It should be noted that to quote something or someone is to repeat the exact words they said or to recite the exact words written in a book.
Great speakers often quote other inspiring people when making speeches. When you quote, you include the words and ideas of others in your text exactly as they have expressed them.
You signal this inclusion by placing quotation marks (“ ”) around the source author's words and providing an in-text citation after the quotation.
In this case, the significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality. A quotation is the repetition of a sentence, phrase, or passage from speech or text that someone has said or written.
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someone please help me with my problems for math
Answers
Answer:
The first option: (x + 6)² = x² + 12x +36
x = √14 - 6, -√14 - 6
With rounded decimals: x = -2.26, -9.74
Step-by-step explanation:
Hey there!
In the equation, we can see that x² + 12x is part of a square of a sum
A square of a sum can be represented by this equation:
(x + y)² = x² + 2xy + y²
Here, 12x = 2xy:
12x = 2xy6x = xyy = 6Now we can complete the square:
x² + 12x + 22 = 0x² + 12x + 6² + 22 = 0 => add 36 to both sides(complete the square)x² + 12x + 36 + 22 = 36 => factor(x + 6)² + 22 = 36(x + 6)² = 14√(x + 6) = √14|x + 6| = √14x = √14 - 6, x = -√14 - 6-Chetan k
Brenda deposited $2,059 in an account earning 1% interest compounded annually.
To the nearest cent, how much will she have in 1 year?
Answers
Steps:
A = P ( 1 + r/n )^nt
A = 2059 ( 1 + 0.01/1 )^1•1
A = 2079.59
If triangles ABC and DEF are similar, what is y? Show your work.
Answers
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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In 2012, the population of a city was 6.51 million. The exponential growth rate was 2.75% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 10 million? d) Find the doubling time.
Answers
The exponential growth function is P = 6.51 (1.0275)^t. The population of the city in 2018 will be 7.66 million. The population of the city will be 10 million in 15.82258467 years and the doubling time is 25.55035862 years
How to find the exponential growth function?The exponential growth function is of the form P = P₀(1+r)^t
where P₀ is the current population, r is the growth rate and t is the time
Given: P₀ = 6.51 million, r = 2.75% per year
a) The exponential growth function
P = 6.51 (1+0.0275)^t
P = 6.51 (1.0275)^t
b) The population of the city in 2018
t = 2018-2012 = 6 years
P = 6.51 (1.0275)^t
P = 6.51 (1.0275)⁶ = 7.66 million
c) When the population of the city will be 10 million
P = 6.51 (1.0275)^t
10 = 6.51 (1.0275)^t (Solve for t)
(1.0275)^t =10/6.51
log (1.0275)^t = log(10/6.51)
t × log (1.0275) = log(10/6.51)
t = [log(10/6.51)] / [log (1.0275)]
t = 15.82258467 years
d) The doubling time
P = 6.51 (1.0275)^t will become:
2 = 1 (1.0275)^t
1.0275^t = 2
log(1.0275)^t = log 2
t log(1.0275) = log 2
t = log 2 / log 1.0275
t = 25.55035862 years
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Which inequality is true
Answers
The higher the negative number is the lesser it gets.
Prove that if n is an odd integer, then n^2 + 1 is an even integer.
Answers
n^2 will still give you an odd integer, but if you add one it will be an even integer
A child learns new words very quickly, but their vocabulary grows slower as they grow up. There is no upper-limit to the size of a person's vocabulary, so a logarithmic growth model is reasonable. The number of words can be related to the child's age (in months) according to the following formula: W(m)=10,000 ⋅ log(m) − 13,000
where m is the number of months in a person's age.
How many vocabulary words would a person have after 20 years (240 months) ?
A. 10.3
B. 10,802
C. 21.1
D. 13,000
Answers
Answer:
I think it's A I hope I'm right, Sorry if I'm wrong. :)
Step-by-step explanation:
Divide.
A. 2
B. 3
C. 2 r1
D. 3 r1
Answers
Answer: D
Step-by-step explanation:
Researchers recorded that a certain bacteria population declined from 450,000 to 900 in 30 hours at this rate of decay how many bacteria will there be in 13 hours
Answers
Answer:
30,455
Step-by-step explanation:
Exponential decay
y = a(1 - b)^x
y = final amount
a = initial amount
b = rate of decay
x = time
We are looking for the rate of decay, b.
900 = 450000(1 - b)^30
1 = 500(1 - b)^30
(1 - b)^30 = 0.002
1 - b = 0.002^(1/30)
1 - b = 0.81289
b = 0.1871
The equation for our case is
y = 450000(1 - 0.1871)^x
We are looking for the amount in 13 hours, so x = 13.
y = 450000(1 - 0.1871)^13
y = 30,455
Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
Answers
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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f(x) = 4 - 3x
g(x) = 2x^2 - 3x +1
Answers
Answer:
\(x = \frac{4}{f - 3} \)
Step-by-step explanation:
add 3x to both sides
\(fx + 3x = - 3x + 4 + 3x \\ fx + 3x = 4\)
factor out variable x
\(x(f + 3) = 4\)
divide both sides by f+3
\(x = \frac{4}{f - 3} \)
Which shapes are similar but not congruent to shape 1
Answers
There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.
There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.
One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.
A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.
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Angela, Breanna, Christine, Debbie, and Esther are in a club and they need to pick two people to go to a
meeting. They write each person’s name on equally sized pieces of paper, put them in a hat, and mix the
papers thoroughly. Find the probability model for this chance process and use it to determine the probability
that Angela gets to go to the meeting.
Answers
So the probability that Angela gets to go to the meeting is 2/5.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is an important concept in many fields, including mathematics, statistics, physics, and engineering, and is used to make predictions, analyze data, and make decisions under uncertainty.
Here,
There are a total of 5 people in the club, so there are 10 possible pairs of people that could be chosen to go to the meeting. Since each pair is equally likely to be chosen, the probability of any particular pair being chosen is 1/10.
To determine the probability that Angela gets to go to the meeting, we need to count the number of pairs that include Angela. There are 4 other people in the club, so there are 4 possible pairs that include Angela. Therefore, the probability that Angela gets to go to the meeting is:
P(Angela) = number of pairs that include Angela / total number of pairs
= 4 / 10
= 2 / 5
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Solve the simultaneous equations
x - 4y = 27
x - y = 9
Answers
Answer:
Step-by-step explanation: x-4y=27
add 4 to 27
x=27+4y
x-y=9
add y to 9
x=9+y
hope it helps
Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answers
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
Find the mean and standard deviation for the data set
{6, 8, 7, 5, 10, 6, 9, 8, 4}
Please SHOW steps for everything
Answers
Answer:
See below
Step-by-step explanation:
The mean is simply adding up each data value and dividing your result by the number of data values:
\(\text{Mean}=\frac{6+8+7+5+10+6+9+8+4}{9}=\frac{63}{9}=7\)
The standard deviation is calculated through finding the sum of the squared differences between the mean and each data point, and dividing that result by the number of data values, which we then take the square root of:
\(\text{Standard Deviation}=\sqrt{\frac{(6-7)^2+(8-7)^2+(7-7)^3+(5-7)^2+(10-7)^2+(6-7)^2+(9-7)^2+(8-7)^2+(4-7)^2}{9}}=\sqrt{\frac{10}{3}}\approx1.8257\)
What this value means is that each data point is spread about 1.8257 apart from the mean. Standard deviation describes how dispersed the data is in relation to the mean.
Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4
brands, 5 colors, and 3 styles. First, Tahari chooses the color. Which explains the number of options that she has left
after she chooses the color?
Answers
Answer: The answer is BBBBBBBBBBBBBBBBBBBBBBb
Step-by-step explanation:
I did the test 2 times got it right 2 times
Have a good day ur welcome
Answer:
B
Step-by-step explanation:
Combine these radicals.
– бу 100 +36
оооо
о – бу 136
0 – 616
What the answer!
Answers
Answer:
Answer. 5.0/5. 6.
Step-by-step explanation:
I am not doing step by step you should know this
Find the course and ground speed for the following: Track 090°, airspeed 300km/h; wind 060°, 50km/h.
Answers
The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.
What is the ground speed of the plane?The horizontal and vertical component of the airspeed is calculated as follows;
Vx = 300 cos(30) = 259.8 km/h
Vy = 300 x sin(30) = 150 km/h
The horizontal and vertical component of the wind velocity is calculated as follows;
Vx = 50 cos(60) = 25 km/h
Vy = 50 sin(60) = 43.3 km/h
To find the resultant velocity, we can add the x and y components separately:
Vx = 259.8 km/h + 25 km/h = 284.8 km/h
Vy = 150 km/h + 43.3 km/h = 193.3 km/h
The magnitude of the resultant velocity is calculated as;
V = √(284.8² + 193.3²)
V = 344.2 km/h
The direction of the resultant velocity is calculated as;
θ = arc tan (193.3/284.8)
θ = 34.2⁰
The resultant direction to true north is calculated as;
track = 34.2 + 60 = 94.2°
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Evaluate 5^-4. Write your answer as a fraction in simplest form
Answers
Answer:
exact form = 1/625
decimal form = 0.0016
The expression written as a fraction in simplest form is \(\frac{1}{625}\)
From the question,
We are to evaluate 5^-4.
First, we will write the expression properly.
The given expression is 5⁻⁴
Now, we will write the expression as a fraction
From one of the laws of indices, we have that
\(a^{-x} =\frac{1}{a^{x} }\)
Therefore,
\(5^{-4} =\frac{1}{5^{4} }\)
In simplest form
\(\frac{1}{5^{4} } = \frac{1}{625}\)
Hence, the expression written as a fraction in simplest form is \(\frac{1}{625}\)
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(1) The tuition T for one year at a college can be approximated by the equation T = 1/8 + 9 where x is the year since 2000, and T is tuition in thousands of dollars. Use this equation to estimate the tuition for one year at this college in 2020.
Answers
Answer:
Step-by-step explanation:
I’m assuming you meant to write
T = ⅛x + 9
T = ⅛(20) + 9 = 11.5
The required estimate of tuition for one year at the college in 2020 is $11500
Given,
The tuition T for one year at a college can be approximated by the equation.
T = 1/8x + 9 - - - - - - (1)
where x is the year since 2000, and T is tuition in thousands of dollars.
Tuition fee in the year 2020 to be calcuate.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The expression is given, since 2000
so the change in years
x = 2020 - 2000
x = 20
Put this x in equation 1
T = 20/8 + 9
T = 2.5 + 9
T = 11.5
SInce t is in thousand so Tuition fee = $11,500.
Thus, the required estimate of tuition for one year at the college in 2020 is $11500
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Please help I’ll mark you as brainliest if correct!!
Answers
Answer:
a) 27 b) 5 c) 16 d) 7
Step-by-step explanation:
