Answer:
11.9047619048
Step-by-step explanation:
<h3>
Answer: RJ = 10</h3>
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Explanation:
Recall that midsegments are half as long as the side they are parallel to. In this case, midsegment PQ is parallel to segment GJ. This means PQ is half as long as GJ. Phrased another way, we can say GJ is twice as long as PQ.
So,
GJ = 2*PQ
Also, we can see that GR = RJ due to the triple tickmarks they share. This leads to GJ = GR+RJ = RJ+RJ = 2*RJ
Or in short,
GJ = 2*RJ
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In summary we can see that
equating both right hand sides leads to
2RJ = 2PQ
RJ = PQ
Because PQ is 10 units, this means RJ is also 10 units.
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Another way to see why PQ = RJ is to notice how triangles HPQ and QRJ are congruent triangles (use SAS to prove this). The corresponding pieces PQ and RJ are the same length, so PQ = RJ = 10.
Answer:
7(4 + y)
Step-by-step explanation:
We are given:
There seems to be nothing I can do to simplify this equation. However, I can factor out an 
since they both have at least an . Here is what we get:
This is in the simplest form I can get into. I cannot do anything more to simplify this expression. This is your final answer.
Complementary angles add up to 90°
∠BDC + ∠CDA = 90°
Answer: ∠BDC
