Answer:
59
Step-by-step explanation:

We will prove first that PRQ≡PSQ
We need 3 attributes from the each triangle:
QS=QR
PR=PS
PQ=PQ
from PRQ≡PSQ => angles RPQ and SPQ are equal
Let if be O=RS∩PQ
We will prove that triangles RPO≡SPO
We need 3 attributes from the each triangle:
RP=PS
PO=PO
angles RPQ and SPQ are equal
results that angles RPO and SPO are equal(Let's note them with x)
We also know that (as angles) POS≡ROS and POR≡SOQ as opposite angles
We now have than 4x=360 wich means x=90. And we proved the desired result.
You just need to put this explanation into the table. (most if the 3 attributes for each triangle)
Answer:
A
Step-by-step explanation:
First just simplify the terms.
y * 5 = 5y
y * 55 = 55y
55y + 5y = 60y
2(65)=130
185-130=50
He will need to drive 50 more miles.
Hie!! I will be solving the questions in the sequence of the attachments.
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4. As line SU and TV are intersecting each other at O.
A.T.Q, ∠UOV = (7x - 4)°
∠SOT = 87°
Then, ∠UOV = ∠SOT {Vertically Opposite Angles}





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5. radius = 17ft
circumference of circle = 2πr


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3. ∠1 and ∠2 - add to 180 (linear pair)
∠1 and ∠3 - equal (Vertically Opposite Angles)
∠3 and ∠4 - add to 180 (linear pair)
∠2 and ∠4 - equal (Vertically Opposite Angles)
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2. 160° + (6x - 16)° = 180° (linear pair)





