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Degger [83]
1 year ago
13

In a certain city, the percent of children under

Mathematics
1 answer:
VikaD [51]1 year ago
3 0

As per given data of living children under 18 years of age , percent of children whose age is under 18 years lived with their mother only is equal to 39.3%.

As given in the question,

Let us consider 100% be the total percent representing the living status of children under 18 years of age

Given:

Percent of children living with both the parents = 49.2%

Percent of children living with only father = 8%

Percent of children living with neither of the parents = 3.5%

Let us consider percent of children living with only mother = x%

Required equation is:

( x + 49.2 + 8 + 3.5 )% = 100%

⇒ x + 60.7% = 100%

⇒ x = 100 - 60.7

⇒ x = 39.3%

Therefore, for the given data of living children under 18 years of age , percent of children whose age is under 18 years lived with their mother only is equal to 39.3%.

Learn more about percent here

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100 points! Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
dimulka [17.4K]

Answer:

1 and 2.

Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.

  • D= (-2, 2), E = (-1, -2), F = (-4, -1)

3.

As per definition, midsegment is parallel to a side.

Parallel lines have same slope.

<u>Find slopes of FD and CB and compare. </u>

  • m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
  • m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2
  • As we see the slopes are same

<u>Find the slopes of FE and AB and compare.</u>

  • m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3
  • m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3
  • Slopes are same

<u>Find the slopes of DE and AC and compare.</u>

  • m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4
  • m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4
  • Slopes are same

4.

As per definition, midsegment is half the parallel side.

<u>We'll show that FD = 1/2CB</u>

  • FD = \sqrt{(2+1)^2+(-2+4)^2} = \sqrt{3^2+2^2} = \sqrt{13}
  • CB = \sqrt{(1 + 5)^2+(1+3)^2} = \sqrt{6^2+4^2} = 2\sqrt{13}
  • As we see FD = 1/2CB

<u>FE = 1/2AB</u>

  • FE = \sqrt{(-4+1)^2+(-1+2)^2} = \sqrt{3^2+1^2} = \sqrt{10}
  • AB = \sqrt{(-5 -1)^2+(3-1)^2} = \sqrt{6^2+2^2} = 2\sqrt{10}
  • As we see FE = 1/2AB

<u>DE = 1/2AC</u>

  • DE = \sqrt{(-2+1)^2+(2+2)^2} = \sqrt{1^2+4^2} = \sqrt{17}
  • AC = \sqrt{(-5 +3)^2+(3+5)^2} = \sqrt{2^2+8^2} = 2\sqrt{17}
  • As we see DE = 1/2AC

3 0
3 years ago
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Suppose m&lt;3 = 105. find m&lt;6
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If you mean the m^3=105, then m^6 will be ( \sqrt[3]{105}) ^6 which is 105^2 which is 11025
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Solve for x using desmos or the quadratic formula 2x^2 - 5x - 12 = 0
ivanzaharov [21]

Answer:

x = 4 or x = (-3)/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - 5 x - 12 = 0

x = (5 ± sqrt((-5)^2 - 4×2 (-12)))/(2×2) = (5 ± sqrt(25 + 96))/4 = (5 ± sqrt(121))/4:

x = (5 + sqrt(121))/4 or x = (5 - sqrt(121))/4

sqrt(121) = sqrt(11^2) = 11:

x = (5 + 11)/4 or x = (5 - 11)/4

(5 + 11)/4 = 16/4 = 4:

x = 4 or x = (5 - 11)/4

(5 - 11)/4 = -6/4 = -3/2:

Answer:  x = 4 or x = (-3)/2

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3 years ago
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In a photograph, a house is 4 inches wide and 6 inches tall. The photograph is enlarged while keeping proportional dimensions, a
AlekseyPX

Since you keep proportional dimensions, the proportion between the old and new dimensions must be the same. So, if we call the new height h, the preservation of the width/height ratio is written as


4 \div 6 = 9 \div h


Solving the proportion for h yields


h = \frac{6\cdot 9}{4} =\frac{3\cdot 9}{2} = \frac{27}{2} = 13.5

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