<u>Answer:</u>
x = & 3
<u>Step-by-step explanation:</u>
=
Cross multiply:
=
⇒ (8x)(7x) = (5x+3)(10x-2)
Simplify both sides:
(8x)(7x) = (5x+3)(10x-2) ⇒ 56x² = 50x²+20x-6
Set equation equal to 0:
56x² = 50x²+20x-6 ⇒ 0 = -6x²+20x-6
Factor the trinomial:
0 = -6x²+20x-6 = (-6x+2)(x-3)
Solve for X:
-6x+2 = 0
-6x = -2
x = ;
x-3 = 0
x = 3;
x = , 3
Answer : The correct option is, (B) 1500 cubic yards.
Step-by-step explanation :
Formula used to calculate the volume of square pyramid is:
where,
V = volume of pyramid
a = base edge of pyramid
h = height of pyramid
Given:
Base edge of pyramid = 15 yards
Height of pyramid = 20 yards
Now putting all the given values in the above formula, we get:
Therefore, the volume of pyramid is 1500 cubic yards.
The value of the length DF is 1/4 of that of CD because of the Angle Bisector Theorem for triangles.
<h3>What is the Angle Bisector Theorem?</h3>
The Angel Bisector Theorem states that if a ray bisects an angle of a triangle, it dissects the side of the triangle that is opposite to the dissected angle into parts that are proportionate to the adjacent sides.
Note that the angle that has been dissected here is ∠CBD. Thus,
=
See the link below for more about Angle Bisector Theorem of the Triangle: