Answer:
Step-by-step explanation:
Given:
TU ≅ WU
∠T ≅ ∠W
To Prove:
Proof:
In Δ TUS and Δ WUV
STATEMENT REASON
1. TU ≅ WU 1. Given
2. ∠T ≅ ∠W 2. Given
3.∠TUS ≅ ∠WUV 3. Vertically Opposite Angles are equal
4. ΔTUS ≅ ΔWUV 4. Angle-Side-Angle congruence test.
5. ∴ TS ≅ WV 5. Corresponding parts of congruent triangles.
.......Proved
You cant have a negative exponent
Answer:
x=-4
y=-3
Step-by-step explanation:
2(-4y)+7y=3
-8y+7y=3
y=-3
Answer:
(1) You can try to calculate length of AB, BC, CD, AD, AC, BD to make sure the order of vertices. (other way: you can plot them to see form of trapezoid and then find out positions of 4 vertices)
(2) From (1), identify 2 bases of trapezoid: AB and CD
=> Length of mid segment = (lengAB + lengCD)/2
=[ sqrt[(0-3)^2+(5-3)^2] + sqrt[(5-(-1))^2+(-2-2)^2] ]/2 = ~5.4
Other way
Define two points create mid segment P1 and P2
P1 is middle of AD = (A+D)/2 = (-0.5,3.5)
P2 is middle of BC = (B+C)/2 = (4,0.5)
=> Length of P1P2 = sqrt[(-0.5-4)^2+(3.5-0.5)^2] = 5.4
Answer: Answer below.
Step-by-step explanation: Attached is my work. Hope it is helpful!
