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babymother [125]
2 years ago
6

I need help answering this question

Mathematics
1 answer:
Advocard [28]2 years ago
8 0

Answer:

x = 17

Step-by-step explanation:

Since line m is parallel to line n, therefore:

(6x + 5) + (5x - 12) = 180 (consecutive interior angles are supplementary)

Solve for x

6x + 5 + 5x - 12 = 180

Add like terms

11x - 7 = 180

Add 7 to both sides

11x - 7 + 7 = 180 + 7

11x = 187

Divide both sides by 11

\frac{11x}{11} = \frac{187}{11}

x = 17

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Describe your understanding of finding percents of a whole.
zhuklara [117]

Step-by-step explanation: Write down the whole number amount, for example: 500. Calculate the equation. The result is the decimal equivalent of the percentage. Multiply the decimal equivalent of the percentage by 100; or move the number's decimal point over two places to the right.

8 0
3 years ago
Isosceles trapezoid FGHJ has base angles that measure (8x+14) and (14x-15). Find x and the measure of each base angle.
lisov135 [29]

Answer:

See below

Step-by-step explanation:

Remark

Base angles of Isosceles triangles are equal.

Equation

That means that 8x + 14 = 14x - 15

Solution

8x + 14 = 14x - 15              Add 15 to both sides

8x + 14+15 = 14x               Combine

8x + 29 = 14x                   Subtract 8x from both sides

8x - 8x + 29 = 14x - 8x    Combine

29 = 6x                            Divide by 6

x = 29/6

x = 4 5/6

Answer

x = 4 5/6 or 4.833

8x + 14 = 8 * (4 5/6)   +  14

8x + 14 = 38 2/3 + 14

8x + 14 = 52 2/3 or 52.6666

14x - 15 = 14 *(4 5/6) - 15

14x - 15 = 67 2/3   -15

14x - 15 = 52 2/3 or 52.666

7 0
3 years ago
The goal of the elimination method is the same as the goal of the substitution method. The goal is:
dlinn [17]
To have all positive terms I think
5 0
2 years ago
Please help! I don’t get this wuestion
hjlf
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7 0
2 years ago
A photograph has a width of 9.5cm and an area of 104.5cm(squared). An enlargement is to be made that has a width of 19cm. What w
SashulF [63]
Answer: Area = 389.5cm^2

Explanation:

Area = 104.5cm^2
Width = 9.5cm

Find Length:

L = A/W
L = 104.5/9.5
L = 11cm

Find the enlargement:

let x be the enlargement:
9.5cm + x = 19cm
x = 19 - 9.5
x = 9.5cm

Thus, the enlargement is 9.5cm.

L (after enlarging) = 11 + 9.5 = 20.5cm

W (after enlarging) = 19cm

Find area after enlarging:

A = 20.5 x 19
A = 389.5cm^2

5 0
3 years ago
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