Answer:
(6)
<u>Isosceles trapezoid</u>
- ∠R and ∠S are supplementary
- ∠S≅∠T, ∠R≅∠V
- m∠S = m∠T = 54°
- m∠R = 180° - 54° = 126°
(9)
<u>Midsegment is half the sum of the base lengths</u>
- ST = 1/2(FP + EQ)
- 3.1 = 1/2(2.7 + EQ)
- 2.7 + EQ = 6.2
- EQ = 6.2 - 2.7
- EQ = 3.5
Answer:
In a parallelogram, opposite sides are the same length. If PR = ST, then the same would happen for the other sides.
Step-by-step explanation:
Answer:
(a) (2, -2)
(b) 2.5 miles
Step-by-step explanation:
(a) The distance from Olivia's house (-5, 5) to the market (-5, -5) is the distance from 5 to -5 on the line x=-5. That distance is 5 -(-5) = 10 units.
The distance from Jen's house to the theater is half this, or 5 units. The theater is "directly below" Jen's house, so will have the same x-coordinate, and a y-coordinate that is 5 units less than that of Jen's house. The theater is located at ...
... (2, 3) -(0, 5) = (2, -2) . . . . theater location
(b) The 5 units from Jen's house to the theater represent a distance of ...
... 5 × (1/2 mile) = 5/2 miles = 2.5 miles
