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3 years ago

What is the value of x?

Mathematics

2 answers:

lara31 [8.8K]3 years ago

5 0

Hello from MrBillDoesMath!

Answer:

x = 12

Discussion:

From the diagram, the two triangles appear to be similiar. Then

28/7 = (6x + 28) /25

as the ratio of corresponding parts of similar triangle are the same.

28/7 = (6x +28)/25 => simplify. 28/7 = 4

4 = (6x + 28)/25 => multiply both sides by 25

4*25 = 6x + 28 => simplify, 4 * 25 = 100

100 = 6x + 28 => subtract 28 from both sides

100 -28 = 6x => simplify. 100 - 28 - 72

72 = 6x => divide both sides by 6

72/6 = 12 = x

Thank you,

MrB

zzz [600]3 years ago

4 0

12 is the x value . To this problem

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Nikolay [14]

simplifying $\frac{\sqrt{4}}{\sqrt[3]{4}}$ we get $4^{\frac{1}{6}}$

Option B is correct.

Step-by-step explanation:

We need to simplify: $\frac{\sqrt{4}}{\sqrt[3]{4}}$

Solving:

$\frac{\sqrt{4}}{\sqrt[3]{4}}$

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3 years ago

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3 years ago

The midpoint of AB is M (6,1). If the coordinates of A are (4, 8), what are the coordinates of B?

geniusboy [140]

Answer:

$B = (8,-6)$

Step-by-step explanation:

Given

$A = (4,8)$

$M = (6,1)$ -- Midpoint

Required

Find B

This question will be solved using midpoint formula;

$M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

Where

$A(x_1,y_1) = (4,8)$

$M(x,y) = (6,1)$

Substitute these values in the midpoint formula;

$(6,1) = (\frac{4 + x_2}{2},\frac{8+y_2}{2})$

By comparison; we have:

$\frac{4 + x_2}{2} = 6$ -- (1)

$\frac{8 + y_2}{2} = 1$ -- (2)

Solving (1)

$\frac{4 + x_2}{2} = 6$

Multiply both sides by 2

$4 + x_2 = 12$

Subtract 4 from both sides

$x_2 = 8$

Solving (2)

$\frac{8 + y_2}{2} = 1$

Multiply both sides by 2

$8 + y_2 = 2$

Subtract 8 from both sides

$y_2 = -6$

Hence:

$B = (8,-6)$

3 0

3 years ago