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nikdorinn [45]
3 years ago
9

Find the scale factor of the smaller figure to the larger figure

Mathematics
1 answer:
guapka [62]3 years ago
4 0

Answer:

#9: 1.2

#10: 1.25

Step-by-step explanation:

To find the scale factor of the smaller figure to the larger figure, we're going to be dividing the measurements of corresponding edges.

\frac{larger figure}{smaller figure}

If you wanted to find the scale factor of the larger figure to the smaller figure, you'd do: \frac{smaller figure}{larger figure}

Question #9:

Left edges: \frac{larger figure}{smaller figure} ⇒ \frac{24}{20} = 1.2

Bottom edges: \frac{larger figure}{smaller figure} ⇒ \frac{30}{25} = 1.2

<em>(You should get the same number as long as the figures are similar.)</em>

<em />

Question #10:

Bottom edges: \frac{larger figure}{smaller figure} ⇒ \frac{30}{24} = 1.25

<em>(There are no corresponding edges with measurements that we can compare.)</em>

<em />

~Hope this helps!~

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Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that AB=BC=AC. We are given the lengths of all 3 sides in terms of x, but we only need to set two of them equal to each other to solve for x. Let's use AB and BC to solve for x. We know that AB=BC, AB=2x+17, and BC=6x-19. Therefore, we can write the following equation to solve for

AB=BC\\2x+17=6x-19 (Substitute given values into equation)

Solving for x, we get:

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