Answer:
Step-by-step explanation:
1. The triangles are similar because the sides are proportional and they both hava a right angle.
2. It would be the hypotenuse leg theorem since they are right triangles.
3. The right angle justifies the triangles being similar.
Answer:
see below
Step-by-step explanation:
Let h = hours worked
d = dollars earned
d = 4h
d h
----------
0 0
4 1
8 2
12 3
16 4
The relationship is proportional. It goes through (0,0) and the slope is constant.
Answer: − x 2 + 5 x + 12 = 0 - x 2 + 5 x + 12 = 0
Step-by-step explanation:
9514 1404 393
Answer:
8
Step-by-step explanation:

__
Multiplying by 1/3 is the same as dividing by 3.
Not sure why such an old question is showing up on my feed...
Anyway, let

and

. Then we want to find the exact value of

.
Use the angle difference identity:

and right away we find

. By the Pythagorean theorem, we also find

. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)
Meanwhile, if

, then (by Pythagorean theorem)

, so

. And from this,

.
So,