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3 years ago

Can someone help me with this proof

Mathematics

1 answer:

maksim [4K]3 years ago

8 0

Step-by-step explanation:

Given :

Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles

To find : by which property are angles 4 and 5 congruent

Solution :

We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.

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Help! i will give brainliest!!!

melisa1 [442]

I am assuming the angle is given in degrees.

Answer:

12.71

or in terms of Pi

182π / 45

Steps:
Formula for the arc length:
L = 2πr(θ/360)
We are given r and θ. Let’s solve for L.

L = 2* π * 8 * (92/360)

The answer is 12.71

or in terms of Pi
182π / 45

8 0

2 years ago

What is the midpoint of the line segment with endpoints(-2,-2) and (4,6)

Ann [662]

Answer:

The midpoint of points $(-2,-2)\ and\ (4,6)$ is $(1,2)$ .

Step-by-step explanation:

Given points are $(-2,-2)\ and\ (4,6)$ . We need to find the midpoint of the line segment.

The formula of finding midpoints between the point $(x_1,y_1)\ and\ (x_2,y_2)$ is

$(\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2})\ Equation(1)$

W have points $(x_1,y_1)=(-2,-2)$ . And $(x_2,y_2)=(4,6)$

Let us plug the value in Equation (1)

$(\frac{-2+4}{2} ),(\frac{-2+6}{2})$

$(\frac{2}{2}),(\frac{4}{2})\\ \\(1,2)$

So, the midpoint of points $(-2,-2)\ and\ (4,6)$ is $(1,2)$ .

3 0

3 years ago

Find the slope of the line through the points (1,−8) and (−9,−10). Provide your answer as a fraction simplified in lowest terms.

Vlad [161]

Answer:

1/5

Step-by-step explanation:

-8-(-10) 2 1

---------- = ------ = --------

1-(-9) 10 5

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3 years ago

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nadya68 [22]

Minutes. Because you cannot concert minutes to hours.

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3 years ago

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Peter inherits 15.000 dollars and place money with a bank. The interest rate are 3 percent. How many money will he get after 1ye

NeTakaya

The simplest form of an interest equation is A = P(1+rt)

where A = the total amount of money at the end, P = the principal (or amount of money you started with), r = the rate in percent, and t = the time in years.

In this case, P = 15000, r = 0.03 (because 3% in decimal form is 0.03), and t = 1:

$A=P(1+rt)\\A=15000(1+0.03*1)\\A=15000(1+0.03)\\A=15000(1.03)\\A=15450$

So, after 1 year he will get $15450 back, making him $450 more.

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4 years ago