Answer:
Read below
Step-by-step explanation:
11. YX = 4.5
RQ corresponds to ZY. If RQ is 4 and ZY is 3, then ΔQRP was dilated by 0.75 to form ΔYZX. (3/4 = 0.75). Using this knowledge, we can find the length of YX by multiplying 6 by 0.75. (YX corresponds to QP). 6 × 0.75 = 4.5.
12. 55°
All of a triangle's angles must add up to 180°. ∠Q is 88°. ∠Z is 37°. ∠Z is congruent to ∠R because corresponding angles in similar triangles are congruent. So, 88° + 37° = 125°. We need to get to 180°, so 180° - 125° = 55°.
13. 4.2
BC corresponds to DF. We need to find the scale factor, so divide 2.7 by 3.6. That equals 0.75. AC corresponds to EF. EF is 5.6, so multiply 5.6 by 0.75. That equals 4.2.
I hope this helps :))
Formula of the Volume of a Pyramid is:
×Area of Base×Height of pyramid
V=
×3×4 (area of base=3 ft²)
V=4 ft³
and 3 cancels out.
Answer:
The width is 20.625 and the length is 19.375
Step-by-step explanation:
Let 2 1/2 + w = length
Let w = width
Equation:
2 1/2 + w + w = 80 Combine liked terms
2 1/2 + 2w = 80
-2 1/2 -2 1/2 Subtract 2 1/2 from both sides
2w = 77.5
÷ 2 ÷ 2 Divide 2 from both sides
w = 41.25
Length:
2 1/2 + 41.25 = 165/4 or 38.75
Width:
41.25
41.25/2 = 20.625
38.75/2 = 19.375
Given:
The graph of a function.
To find:
The function.
Solution:
From the given graph, it is clear that the graph intersect the x-axis at x=-4, -2, 1. It means -4, -2 and 1 are zeros of the given function graph.
If c is a zero of a function f(x), then (x-c) is a factor of f(x).
Using the above definition, we conclude that (x+4), (x+2) and (x-1) are the factors of given function. So,
Therefore, the correct option is A.
