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Gnom [1K]
3 years ago
12

The perimeter of a square with sides of length 3x

Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

The answer would be 12x

Step-by-step explanation:

You have to add all the sides together because its a square and all sides are equal. So 3x+3x+3x+3x equals 12x

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Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle
GREYUIT [131]
If u and v are <span>supplementary angles, then

u+v=180^{\circ}~~~~~\mathbf{(i)}


The ratio of u and v is \dfrac{7}{13}:<span>

\dfrac{u}{v}=\dfrac{7}{13}\\\\\\ u=\dfrac{7v}{13}~~~~\mathbf{(ii)}


Substitute \mathbf{(ii)} into \mathbf{(i)}:

\dfrac{7v}{13}+v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+1 \right )\cdot v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+\dfrac{13}{13} \right )\cdot v=180^{\circ}\\\\\\ \dfrac{20}{13}\cdot v=180^{\circ}\\\\\\ v=180^{\circ}\cdot \dfrac{13}{20}\\\\\\ \boxed{\begin{array}{c} v=117^{\circ} \end{array}}


From \mathbf{(i)}, we find the measure of u:

u=180^{\circ}-v\\\\ u=180^{\circ}-117^{\circ}\\\\ \boxed{\begin{array}{c} u=63^{\circ} \end{array}}

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Use the factor tree to find the prime factorization of 100.
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