Answer:
Step-by-step explanation:
Volume = 198 ft
length * width * height = 198
(x - 1) * (x + 4) * 3 = 198
(x - 1) * (x + 4) = 198/3
(x - 1) * (x + 4) = 66
x*x + x*4 -1*x - 1*4 = 66 {Use FOIL method to multiply}
x² + 4x - x - 4 = 66
x² + 3x - 4 =66
x² + 3x - 4 - 66 = 0
x² + 3x - 70 = 0
Now factorize.
x² + 10x - 7x - 7*10 = 0
x(x +10) - 7(x + 10 ) = 0
(x + 10)(x - 7) = 0
x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}
x = 7
length = x - 1 = 7 - 1 = 6ft
Width = x + 4 = 7 + 4 = 11 ft
Answer:
x = 3, y = 6
Step-by-step explanation:
In the figure attached,
If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.
By this property,
3x = 2x + 3
3x - 2x = 3
x = 3
Similarly, 
y = 
y = 6
Answer:
Step-by-step explanation:
So 8 times what is 5?
8 times x=5
x=0.625
If these are the missing choices:
A) Segments ST and PQ are parallel.
B) Angle P is congruent to itself due to the reflexive property.
C) RP is a transversal line passing ST and PQ.
<span>D) Angles RTS and RQP are congruent due to the Corresponding Angles Postulate.
</span>The fact that is not used to prove that PQR is similar to STR is <span>B) Angle P is congruent to itself due to the reflexive property.
</span>
Reflexive property in the given image is on Angle R not angle P.
