Will give brainliest. : )

joshua used two wood beams, pc and qa, to support the roof of a model house. the beams intersect each other to form two similar triangles qrp and arc, as shown in the figure below. the length of segment pr is 3.7 inches, and the length of segment cr is 5.6 inches. the distance between a and c is 4.9 inches.

what is the distance between the endpoints of the beams p and q?

a. 3.2 inches
b. 3.7 inches
c. 4.2 inches
d. 4.4 inches

Option A. 3.2 inches

Step-by-step explanation:

As shown in the figure it is given that Δ QRP and Δ ARC are two similar triangles.

Given lengths are mPR = 3.7 inches

mCR = 5.6 inches

Distance between A and C is = 4.9 inches

By the theorem of similar triangles in Δ PQR and Δ ACR

Therefore Option A. mPQ = 3.2 inches is the answer

the answer is 11.2 (i know i’m late)

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry