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3 years ago

Solve for x and then find the measure of B

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

7 0

Answer:

x = 9 Angle B = 40 degrees

Step-by-step explanation:

Angles A and B are congruent, so the equation are the same

5x - 5 = 3x + 13

-3x - 3x Subtract 3x from both sides

2x - 5 = 13

+ 5 +5 Add 5 to both sides

2x = 18 Divide both sides by 2

x = 9

Plug this into the equation for angle B

B = 3(9) + 13 Multiply

B = 27 + 13 Add

B = 40

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Answer:

$A = \dfrac{C^2}{4\pi}$

Step-by-step explanation:

Given that

Area of a circle $A=\pi r^2$

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Let us re-write the equation of area of circle:

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Multiplying and dividing with 2:

$A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}$

Hence, <em>A</em> in terms of <em>C</em> can be represented as:

$A = \dfrac{C^2}{4\pi}$

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3 years ago

Given the data set (200, 150, 325, 350, 100, 75), Find the range of the data set

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The range is just the distance between the biggest number
and the smallest one.

The biggest number on that list is 350 .
The smallest number on that list is 75 .

The range is from 75 to 350, or a distance of 275 .

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Step-by-step explanation:

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