Answer: G. 12.5, 7.5, 10
Step-by-step explanation:
To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,
F.
8² = 4² + 4²
64 = 16 + 16 = 32
A right angle triangle cannot be formed because they are not equal.
G.
12.5² = 7.5² + 10²
156.25 = 56.25 + 100 = 156.25
A right angle triangle can be formed because they are equal.
H.
23² = 11² + 9²
529 = 121 + 81 = 202
A right angle triangle cannot be formed because they are not equal.
J.
96² = 12.5² + 6²
9216 = 156.25 + 36 = 192.25
A right angle triangle cannot be formed because they are not equal.
Answer:
Figure RST is congruent is R´S´T´
Step-by-step explanation:
Given that R´S´T is a reflection of RST, we know that is a rigid transformation, so it is congruent (the same size & shape).
D+Q=61 => D=61-Q
3+D=Q
10D+25Q=1090
10(61-Q) + 25Q=1090
610-10Q+25Q=1090
610+15Q=1090
-610 -610
15Q=480
480/15=32
32 quarters
X could either be 4 or 5, depending on which x the question asks. If you have to chose one answer go with 5 because it's associated with the y.
