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

Some students log their exercise activity after school . Leah and Jules skate for exercise and Robert and Apollo run for exercis

Alex Ar [27]

Table for the question :

Students ____ minutes per day

Leah _________45

Roberts _______17

Jules _________36

Apollo _______ 24

Calculate the Number of calories each student burn for 1 day of activity :

Answer:

Leah =. 630

Jules = 504

Roberts = 306

Apollo = 432

Step-by-step explanation:

Given that:

Skating burns 14 calories per minute

Running burns 18 calories per minute

Number of calories each student burn for 1 day of activity :

SKATING ;

Leah: = 14 * 45 = 630

Jules = 14 * 36 = 504

RUNNING ;

Roberts : 18 * 17 = 306

Apollo : 18 * 24 = 432

7 0

3 years ago

Karen makes $5 per hour for babysitting and $12 per hour giving music lessons. One week she worked a total of 18 hours and made

swat32

B = hours babysitting
m = hours giving music lessons

so... whatever "b" and "m" are, their sum for that week was 18
thus
b + m = 18

now, money wise, she makes $5 for "b" and that is, she made 5*b or 5b that week
for "m", she makes $12, so for that week she made 12*m or 12m

whatever "b" and "m" are
thus

5b + 12m = 139

now $\bf \begin{cases}
b+m=18\to \boxed{m}=18-b\\\\
5b+12m=139\\
----------\\
5b+12\left( \boxed{18-b}\right)=139
\end{cases}$

solve for "b", to see how many hours she spent babysitting

4 0

3 years ago