Answer:
I think they are similar by SAS.
Step-by-step explanation:
Both triangles may not be the same size, but they have similar sides and similar angles.
First, we have to solve the sides of the right triangle by using the Pythagorean theorem: a² + b² = c² where c is the length of the hypotenuse. Then, we can use the legs as length and height of the triangle and find the area by 1/2(base x height).
x² + 60² = 68²
x² + 3600 = 4624
x² = 1024
x = √1024
x = 32 = length of the other side
A = (1/2)(32) (60) = 960 mm²
<h3>
Answer: 9t+8(101-t)</h3>
Work Shown:
t = number of hours tutoring
101-t = number of hours working as a waiter
The expressions t and 101-t add to 101.
9t = amount earned as a tutor, at $9 an hour
8(101-t) = amount earned as a waiter, at $8 an hour
9t+8(101-t) = total amount earned from both jobs
This does not account for taxes or other fees. Optionally, you can distribute the 8 through the (101-t) terms, then combine like terms to simplify.
Answer:
y = x+2
Step-by-step explanation:
When x = 0, y =2
So, y = 0 + m
2 = 0 + m
2 = m
When x = 1, y =3
y = x + m
3 = x + 2
-2 -2
1 = x