Given a pair parallel lines cut by a transversal same interior angles are supplementary?

1 answer:

6 0

If 2 parallel lines are cut by a transversal, then the alternate exterior angles are congruent. If 2 parallel lines are cut by a transversal, then the same side interior angles are supplementary. A line that intersects 2 coplanar lines at 2 different points.

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A changes saved Set up a proportion and use it to solve for x. 2 10 х 3

V125BC [204]

Answer:

C. 15

Step-by-step explanation:

The following proportional can be set-up for the figure given:

$\frac{x + 3}{x} = \frac{10 + 2}{10}$

Solve for x

$\frac{x + 3}{x} = \frac{12}{10}$

$\frac{x + 3}{x} = \frac{6}{5}$

Cross multiply

$5(x + 3) = x(6)$

$5x + 15 = 6x$

15 = 6x - 5x

15 = x

x = 15

3 0

3 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch radius A = sq. in.

katovenus [111]

$\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad 
\begin{cases}
s=length~of\\
\qquad a~side\\
-------\\
s=6
\end{cases}\implies A=\cfrac{6^2\sqrt{3}}{4}\implies A=\cfrac{36\sqrt{3}}{4}
\\\\\\
A=9\sqrt{3}$

8 0

3 years ago

What is the slope of this line?

OLga [1]

The slope of this line is -2.

rise/run

rise = 4
run = -2

4
------- = -2
-2

Using the points (1,0) & (0,2)

2 - 0 2
----------- = ----- = -2
0 - 1 -1

6 0

3 years ago

Read 2 more answers

A cylindrical cup is 10 centimeters in height. When filled to the very top, it holds 500 cubic centimeters of water. What is the

Vladimir [108]

Answer:

Step-by-step explanation:

the formula for radius is

$r=\sqrt{\frac{v}{\pi h } }$