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Rainbow [258]
2 years ago
5

Given the following information, determine which lines are parallel and what justifies them being parallel.

Mathematics
1 answer:
kow [346]2 years ago
8 0

Answers:

Blank 1 = p and q

Blank 2 = Consecutive interior angles converse

=================================================

Explanation:

There's a lot of visual noise here, meaning there's a lot of lines and angles to potentially distract. I recommend redrawing things but only drawing lines p and q, and the transversal cut line t. Furthermore, I would mark only angle 8 and angle 13. See the diagram below.

The diagram is optional, but hopefully you can see that the angles are same side interior angles, aka consecutive interior angles. That's why we go with the consecutive interior angles converse

If we drop the "converse" portion, then that theorem says parallel lines lead to supplementary consecutive interior angles. The converse just reverses the flow of the logic.

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For right triangle base and height can be legs.

We have one leg = 5 ft. (Lets think it is a base.)


We need to find the other leg.

We are going to use Pythagorean theorem.

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A circle has an equation (x+2)2+(y−5)2=64. What is 34 of its area.
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Answer:

3/4 of the area of the circle is of 48\pi squared units.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

(x - x_0)^2 + (y - y_0)^2 = r^2

In which the center is (x_0,y_0) and r is the radius.

Area of a circle:

The area of a circle of radius r is given by:

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