Answer:
Step-by-step explanation:
Comparing the triangles in the given questions, the following can be deduced:
5. The scale factor =
=
≠ 
So that;
QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.
Thus, the triangles are NOT similar.
6. Scale factor =
=
= 
= 1.5
So that;
QR is similar to UT, PR is similar to US, but PQ is similar to TS.
Thus, the triangles are similar by Side-Side-Side (SSS).
7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.
Answer:
80 square feet
Step-by-step explanation:
You can split it into a rectangle and a triangle. The area of the rectangle would be 2 * 16 = 32 square feet.
Next, you need to find the height of the triangle. To do this, you can split the triangle into two right triangles and use the pythagorean theorem to find the height. The dimensions of one of the right triangle is 8 for one of the legs and 10 for the hypotenuse. Using the pythagorean theorem, 8^2 + b^2 = 10^2, which is 64 + b^2 = 100, so b^2 = 36 and b = 6. This means that the height is 6. Now, you find the area of the triangle and you get 16 * 6 / 2 = 48.
Adding the area of the rectangle and the triangle: 32 + 48 = 80
Not sure why that's not an answer choice, I'm fairly confident it's right.
Answer:
f(-1) = 12
f(1) - g(1) = 8
g(x) = 4 when x = 2
f(x) = g(x) when x = 3
Step-by-step explanation:
Read the graph.
Find the x - values on the x - axis and identify what y level the line is at.
Answer:
B. 10 ft. x 13 ft.
Step-by-step explanation:
10 x 13 = 130
80.25/2.5 = 32.1
Therefore, the fee is $32.10 per hour.
Hope this helps!