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Kazeer [188]
2 years ago
5

The two triangles are similar what is the value of x? x=___

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
7 0

Answer:

5

Step-by-step explanation:

What we have to know is that when two triangles are similar their sides will always be proportional. So we will create a proportion that goes like this...\frac{\Delta1side}{\Delta1base} =\frac{\Delta2side}{\Delta2base} but since it doesn't tell us the exact value of triangle 1. We will have to add 3 and 12 to get 15 which is the base of the first triangle. Now we're ready to write the proportion.

\frac{4x}{15}=\frac{3x+1}{12}

Now we cross multiply and solve the equation...

48x=15(3x+1)\\48x=45x+15\\3x=15\\x=5

So the value of x is 5.

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A machine covers 5/8 square foot in 1/4 hour
VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = frac{5}{8}\ ft^2

Time taken to cover the given area = \frac{1}{4}\ h

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

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Thus, the unit rate is 2.5 square feet per hour.

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3 years ago
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