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zloy xaker [14]
4 years ago
8

A mother's age is three less than three times her daughter's age. The sum of their ages is 45. What is the daughter's age?

Mathematics
1 answer:
USPshnik [31]4 years ago
6 0
Given:
mother's age = 3x - 3
daughter's age = x
total of their ages = 45

Mother's age + daughter's age = 45
3x - 3 + x = 45
4x = 45 + 3
4x = 48
4x/4 = 48/4
x = 12 daughter's age.  CHOICE B.

mother's age : 3x - 3 = 3(12) - 3 = 36 - 3 = 33

To check:
mother's age + daughter's age = 45
33 + 12 = 45
45 = 45
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<u>Step 1</u>

Quadrilateral EFGH with points E(-2,3), F(1,6), G(4,3), H(1,0)

<u>Step 2</u>

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|EH|=\sqrt{(0-3)^2+(1-(-2))^2}=\sqrt{(-3)^2+(3)^2}=\sqrt{18}=3\sqrt{2}

<u>Step 3</u>

Segment EF ,E (−2, 3), F (1, 6)

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Segment GH, G (4, 3), H (1, 0)

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Segment EH, E(−2, 3), H (1, 0)

Slope of |EH|= \frac{0-3}{1+2} =\frac{-3}{3}=-1

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Slope of |EH| =\frac{3-6}{4-1} =\frac{-3}{3}=-1

<u>Step 5</u>

Segment EF and segment GH are perpendicular to segment FG.

The slope of segment EF and segment GH is 1. The slope of segment FG is −1.

<u>Step 6</u>

<u>Segment EF, segment FG, segment GH, and segment EH are congruent. </u>

The slope of segment FG and segment EH is −1. The slope of segment GH is 1.

<u>Step 7</u>

All sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular. Quadrilateral EFGH is a square

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