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1 year ago

7

Geometry: complete this proof, ASAP!!!

1 answer:

Tresset [83]1 year ago

3 0

Answer:

By definition, angles A and 1 are corresponding angles and angles B and 1 are consecutive angles. By the corresponding angles postulate, angles A and 1 are congruent, and by the consecutive angles theorem, angles B and 1 are supplementary. By the definition of supplementary angles, measures of angle B and 1 add up to 180 degrees (m<B + m<1 = 180). By definition of congruent angles, angles A and 1 have same measurement (m<A = m<1). By substitution property of equality, measures of angles A and B add up to 180 degrees (m<A + m<B = 180). By definition of supplementary angles, angles A and B are supplementary.

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How do i rearrange this equation into y=mx+b? y = - x - 5

MissTica

The Solution:

Given:

$y=-x-5$

Required:

To write the given equation in the form below:

$y=mx+b$

Clearly, the given equation is already in the required form.

The parameters are:

8 0

2 years ago

Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest.

Leto [7]

Answer:

You would receive $510.08 in return.

Step-by-step explanation:

In order to find the answer, you can use the formula to calculate the future value:

FV=PV*(1+i)^n

FV=future value

PV= present value= 500

i= interest rate=0.03/12=0.0025 per month

n= number of periods of time= 8

Now, you can replace the values in the formula:

FV=500*(1+0.0025)^8

FV=500*(1.0025)^8

FV=510.08

According to this, the answer is that you would receive $510.08 in return.

6 0

3 years ago

Read 2 more answers

What is the slope of the line in the graph?

Allisa [31]

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = $\frac{1-0}{0+1}$ = 1

3 0

3 years ago

Find the vertex of the graph of the function.<br> f(x) = (x - 5)^2 + 10

svetoff [14.1K]

Answer:

Step-by-step explanation:

hello :

f(x) = (x - 5)^2 + 10 ......(vertex form) so the vertex is : (5 , 10 )

6 0

4 years ago

Mary took a math test and she got four questions incorrect and 21 correct. What percent did answer correctly?

AnnZ [28]

Answer:

84%

Step-by-step explanation:

21 correct + 4 wrong = 25 questions in total

$\frac{21}{25}$ x 4 = $\frac{84}{100}$

$\frac{84}{100}$ = 0.84

0.84 = 84%

6 0

3 years ago