Hey there! :D
Vertical angles are congruent, they have the same measure.
So, <7 and <5 are vertical angles. They share the same vertex, and if you were to draw a straight line between them, it would connect and bisect them both equally.
<5= 45, so <7= 45.
I hope this helps!
~kaikers
C) 3/5 because they tossed the coin 5 times and out of those 5 times, 3 of them landed with different sides
Answer:


Step-by-step explanation:
Given



Required
Find P(A) and P(B)
We have that:
--- (1)
and
--- (2)
The equations become:
--- (1)

Collect like terms


Make P(A) the subject

--- (2)


Substitute: 
![[0.770 - P(B)] * P(B) = 0.144](https://tex.z-dn.net/?f=%5B0.770%20-%20P%28B%29%5D%20%2A%20P%28B%29%20%3D%200.144)
Open bracket

Represent P(B) with x

Rewrite as:

Expand

Factorize:
![x[x - 0.45] - 0.32[x - 0.45]= 0](https://tex.z-dn.net/?f=x%5Bx%20-%200.45%5D%20-%200.32%5Bx%20-%200.45%5D%3D%200)
Factor out x - 0.45
![[x - 0.32][x - 0.45]= 0](https://tex.z-dn.net/?f=%5Bx%20-%200.32%5D%5Bx%20-%200.45%5D%3D%200)
Split

Solve for x

Recall that:

So, we have:

Recall that:

So, we have:


Since:

Then:


Your answer is 134! Hope this helps!
Answer:
The practical domain of the function is [30,32].
Step-by-step explanation:
The given function is

where, p(h) represents the Vonda's weekly pay as a function of hours worked.
She pays a one time $250 chair rental fee, and earns $40 per hour that she works.
Domain is the set of all possible inputs.
The possible domain of the given function is all real numbers but the number of hours can not be negative, therefore h>0.
It is given that Vonda works between 30 and 32 hours per week at a hair salon. So,

Therefore practical domain of the function is [30,32].