It is given thatΔ QRS ≅Δ TUV
Out of all the given options
(C) QS= TV [C P C T}
(D) QR =TU
(E) S = V
(F) R= U
C, D,E, F are correct options.
Because when two triangles are congruent their corresponding parts are equal.
CPCT means corresponding parts of congruent triangles.
All these options are congruent by CPCT.
Side QR is congruent to TU.
Side Q S is congruent to TV.
Angle S is Congruent to Angle V.
Angle R is congruent to Angle U.
The meaning of congruency of shapes is that the two or many more shapes are identical.
Answer:
x=30, A=132
Step-by-step explanation:
These 2 angels are alternate interior angles so they are equal
5x-18=3x+42
Solve.
2x=60
x=30
Now substitute x into angle A
A=150-18
A=132
-25 - 12x = -(-8x - 6) - 3(5x + 12)
Distributive property.
-25 - 12x = 8x + 6 - 15x - 36
Combine like terms.
-25 - 12x = -7x - 30
Add 12x to both sides.
-25 = 5x - 30
Add 30 to both sides.
5 = 5x
Divide both sides by 5.
x = 1
The x-intersect is 1.