From the given picture, we can see that 2 sides are congruen, then the given triangle is an isosceles triangle. In this triangle the base angles are congruent, so we can draw the following picture:

Now, since interior angles of any triangle add up to 180 degrees, we have

$x+\frac{x}{2}+\frac{x}{2}=180$

By combining similar terms, we get

$\begin{gathered} \frac{4}{2}x=180 \\ 2x=180 \end{gathered}$

Then, x is given as

$\begin{gathered} x=\frac{180}{2} \\ x=90 \end{gathered}$

Therefore, the answer is x=90 degrees

4 0

1 year ago

Angela borrowed $1,500. She will Pay back this amount in 12 equal and payments. What is the amount of each payment Angela will m

lana [24]

Answer:

$120

Step-by-step explanation:

She borrowed$1500 and has to pay 12equal.

To Know the amount paid each,it will be$1500/12

And the answer is$125

Which means she will be paying$125 each

7 0

3 years ago

Which rigid transformation(s) would map ΔJKL onto ΔPQR? a reflection only a rotation only a rotation and a reflection a translat

solniwko [45]

Step-by-step explanation:

A rigid transnformation is also know as isometrie. <u>This are transformations of the plane that preserves the lengths</u>. There are 3 types of isometries and each one can be combined with the others.

Reflection (First figure)
Translation (second figure)
Rotation (third figure)

Combining this transformations you will be able to transform ΔJKL onto ΔPQR

6 0

3 years ago

Read 2 more answers

A rectangular swimming pool is 8 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to

AysviL [449]

Answer:

<h2> length= 42, width=12, depth=8</h2>

Step-by-step explenation:

8 0

2 years ago