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Romashka [77]
4 years ago
12

Points a b and c are collinear point b is between A and C solve for x AB = 3x BC = 2x -2 and AC =18

Mathematics
1 answer:
Anna35 [415]4 years ago
6 0
<h3>Answer:   x = 4</h3>

=====================================

Work Shown:

AB + BC = AC .... see diagram below

(3x)+(2x-2) = 18 ... plug in given expressions

5x-2 = 18

5x-2+2 = 18+2 ... add 2 to both sides

5x = 20

5x/5 = 20/5 ... divide both sides by 5

x = 4

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Let us say that the number of pens that Matt has is x. Therefore the number of pen that Sarah has is:

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So the total number of pens they have is:

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Hence the fraction of Matts pen is:

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3 years ago
A terrarium is built in the shape of a triangular prism. The prism is 10 inches in height and contains 450 cubic inches of space
Stells [14]

Answer:

45 square inches

Step-by-step explanation:

We are told that a terrarium is constructed in a triangular prism shape with the following 10 inches tall and 450 cubic inches in volume.

We are asked to calculate the area of the base shape of the prism, we know that the volume of any triangular prism is equal to the area of the base times the height therefore:

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A = 45

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4 years ago
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