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ratelena [41]
3 years ago
13

Divide 4 over 5 ÷ 1 over 10 = ___Divide 4 over 5 ÷ 1 over 10 = ____.

Mathematics
1 answer:
Alex777 [14]3 years ago
6 0
4/5 divided by 1/10 is 8 the answer is 8
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Answer:

\left \{ {{x=3} \atop {y=-7}} \right.

Step-by-step explanation:

We can directly substitute y of the first equation to the second equation.

-2x - 1 = 3x - 16

5x = 15

x = 3

Substituting back to any of the two equations, we get y = -2(3)-1 = -7.  If you check with the second equation, y = 3(3)-16 = -7 as well.

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2 years ago
The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9
Georgia [21]

Answer:

9 units.

Step-by-step explanation:

Let us assume that length of smaller side is x.

We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

We know that sides of similar figures are proportional. When the proportion of  similar sides of two similar figures is \frac{m}{n}, then the proportion of their area is \frac{m^2}{n^2}.

We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:

\frac{x^2}{3^2}=\frac{9}{1}

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Take positive square root as length cannot be negative:

\sqrt{x^2}=\sqrt{81}

x=9

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angle 4 and angle 8 are congruent

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