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2 years ago

The two shapes are similar. What is the value of x?

Mathematics

2 answers:

Bezzdna [24]2 years ago

7 0

Find the ratio of the k own sides: 10 inches and 18 inches

18/10= 1.8

The larger shape is 1.8 times larger than the smaller shape. Multiply the dimension of the smaller shape by 1.8:

15 x 1.8 = 27

X = 27 inches

Elena-2011 [213]2 years ago

4 0

Answer:

27 inches

Step-by-step explanation:

We can use a ratio to solve

10 15

---- = ----

18 x

Using cross products

10x = 15*18

10x=270

Divide each side by 10

10x/10 = 270/10

x = 27

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We have this below shown relation between them

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For the given case, we have:

The equation $y=9.5x + 0.4$ represents the line of best fit for the distance (in feet) that Marcella traveled over time (in seconds)

The line of best fit can be taken as approximately telling about the data points ( y = distance traveled in feet, and x = time spent )

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The value of y and $y_1$ are calculated as:

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Thus, the average speed is calculated at time 'x' as:

$\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Average speed} = \dfrac{y_1 - y}{x + 1 - x} = \dfrac{9.5x + 9.9 - 9.5x - 0.4}{1} = 9.5 \: \rm feet/sec$

We could've also used the fact that in the relation of y to x as $y = mx + c$ , 'm' denotes the rate of y as x changes.

Thus, the average speed of Marcella in feet per seconds is 9.5 feet per second.

Learn more about average rate here:

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