Answer:
x = 13
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
78(11x - 13) = 10140 ( divide both sides by 78 )
11x - 13 = 130 ( add 13 to both sides )
11x = 143 ( divide both sides by 11 )
x = 13
Answer:
O No
Explanation:
Given equation: y = 13x + 12
To check if (2, 8) is a solution of the given equation.
Substitute x and y value in equation and check if it is true.
(x, y) = (2, 8)
simplify
This following statement is false and hence (2, 8) is not a solution.
Answers:
- Pyramid
- Rectangular Prism
- Cylinder
- Cone
- Triangular Prism
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Explanation:
- The formula for the volume of a pyramid is (1/3)*B*h, where B is the area of the base. If we're dealing with a rectangular pyramid, like those found in Egypt, then the area of the base is B = length*width.
- The volume for a prism is found by multiplying length (L), width (W), and height (H). So V = LWH. Think of having a 2 by 3 rectangle of blocks. We would have 2*3 = 6 blocks in total. Then if we have 5 layers of these stacked then we have 2*3*5 = 6*5 = 30 blocks in total. This is one way to visualize how the volume formula works.
- To get the volume of a cylinder, we multiply the area of the base (pi*r^2) by the height (h). So that's where pi*r^2*h comes from.
- The volume of a cone is 1/3 that of a cylinder's volume. This is when the cone and cylinder have the same radius, and also the same height. It's not required that r = h.
- Since all of the other answer choices are used up, the only thing left is "triangular prism". It's strongly implied here that B is the area of the triangular base. Though the formula Bh applies to any prism and it doesn't have to be a triangular prism. Note how B = LW, so Bh is the same as LWH, meaning that a rectangular prism can use the Bh formula.
