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Advocard [28]
2 years ago
5

Suppose two rectangles are similar with a scale factor of 2. What is the ratio of thier areas? Explain.

Mathematics
1 answer:
Anton [14]2 years ago
3 0

Answer:

4

Step-by-step explanation:

From the question,

Since both rectangle has a scale factor of 2,

L₁/L₂ = 2

Where L₁ and L₂ are the length of the first and second rectangle respectively

L₁ = 2L₂................ Equation 1

Also,

W₁/W₂ = 2............ Equation 2

Where W₁ and W₂ are the Width of the first and second rectangle respectively

W₁ = 2W₂

Area of a rectangle = Length × width

Area of first rectangle = L₁×W₁ = 2L₂×2W₂ = 4L₂W₂

Area of second rectangle = L₂×W₂= L₂W₂

The ratio of area = Area of the first rectangle/Area of the second rectangle = 4L₂W₂/L₂W₂ = 4

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In the figure above line m is parallel to line n.
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<u>Given</u>:

Line m is parallel to line n.

The measure of ∠1 is (4x + 15)°

The measure of ∠2 is (9x + 35)°

We need to determine the measure of ∠1

<u>Value of x:</u>

From the figure, it is obvious that ∠1 and ∠2 are linear pairs.

Thus, we have;

\angle 1+\angle 2=180^{\circ}

Substituting the measures of ∠1 and ∠2, we get;

4x+15+9x+35=180

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Thus, the value of x is 10.

<u>Measure of ∠1:</u>

The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1

Thus, we have;

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7 0
3 years ago
Adrian jogs 3/4 mile each morning how many days will take to jog 3 miles
lbvjy [14]
----------------------------------------------------------------
Given Information
----------------------------------------------------------------
Adrian can run 3/4 mile in 1 morning.

----------------------------------------------------------------
Find how long he needs to run 1 mile
----------------------------------------------------------------
3/4 miles = 1 morning 

[ Divide by 3/4 on both side ]
3/4 ÷ 3/4 miles = 1 ÷ 3/4

1 miles = 4/3 morning

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Find how long he needs to take to run 3 miles
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1 miles = 4/3 morning

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Answer : 4 mornings
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Given that:

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