Answer:
∠Q = ∠U = 60°
Step-by-step explanation:
Construct the figure QSUT with your own dimensions as long as QR ≅ RU and SR ≅ RT , where R is the common midpoint.
I choose QR = 4 cm and SR = 5 cm
Then measure ∠Q and ∠U to check if they are equal.
I got that ∠Q = ∠U = 60° proving that;
∠Q ≅ ∠U
Answer:
Step-by-step explanation:
These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.
If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.
RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.
x+5=16, subtract 5 from both sides.
x=11
Answer: A
Step-by-step explanation: with my calculation, and the information you have give i have to say it is A.
