Use the Pythagorean Theorem: a^2 + b^2 = c^2. a and b are the legs, and c is the hypotenuse. Plug in your numbers: 9^2 + b^2 = 12^2
81 + b^2 = 144. Subtract 81 from 144 : b^2 = 63. Now take the square root of 63, which is 7.9. 7.9 ft is your answer.
Answer:
Step-by-step explanation:
33 ≥ 3(a-4)
33 ≥ 3a - 4
3a - 4 ≤ 33
3a ≤ 37
a ≤ (37/3)
Answer:
40
Step-by-step explanation:
V = L × W × H
V = 1.5 × 6 × 4.5
V = 40.5 or 40
The true statement about the side lengths of quadrilateral MNOP is (d) MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.
The side lengths of EFGH are given as:




Length NO is also given as:

Because both quadrilaterals are similar, then side NO corresponds to side FG.
The scale factor (k) from EFGH to MNOP is then calculated as:



The side lengths of MNOP are then calculated using:




Also,

So, the true statement is (d)
Read more about dilations at:
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