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: y= -1x + 5
Step-by-step explanation:
(-3,8) ( 4,1)
8-1= 7
-3-4 = -7
7/-7 = -1 so the slope is -1 so we will use the formula y=mx+b to find the y-intercept
8= -1(-3) + b
8= 3 + b
-3 -3
b= 5 so the y intercept is 5 now we will write the equation like this y= -1x + 5
If d₁ and d₂ are the lengths of the diagonals, the area is given by
.. A = (1/2)*d₁*d₂
.. A = (1/2)*(12 in)*(16 in)
.. A = 96 in²
If b is the base and h is the height, the area is given by
.. A = b*h
We know the values of A and b, so
.. 96 in² = (10 in)*h
.. (96 in²)/(10 in) = h = 9.6 in
The height is 9.6 in.
Answer:
x = -8.5
Step-by-step explanation:
Let's rearrange the question to find x :)
-8x + 6x + 10 - 8 = 19
-2x + 2 = 19
-2 -2
-2x = 17
/-2 /-2
x = -8.5
Answer:
3 ft
Step-by-step explanation:
A cube is made of 6 equal faces each of which is a square with the same side length. The surface area of the cube is the surface area of one side multiplied by 6. We know the surface area is 54 so divide this by 6.
54/6 = 9 ft^2
Since the surface must be a square, take the square root of 9 which is 3 ft. The length of one edge of the cube is 3 ft.
