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3 years ago

Please help! find measure of CDE

Mathematics

1 answer:

Umnica [9.8K]3 years ago

5 0

Answer:

170

Step-by-step explanation:

A heptagon's internal angles add up to 900 degrees.

So:

(2x-13)+(3x-8)+(2x-3)+(2x-7)+(3x-1)+(2x+11)+(2x+9) = 900

16x - 12 = 900

16x = 912

x = 912/16

x = 57

So:

3x - 1 = 3 * 57 -1 = 170

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Step-by-step explanation:

$\begin{aligned}\sf Base\:of\:triangle\:(b) & = 5-2\frac13\\\\& = \dfrac{15}{3}-\dfrac73\\\\ & = \dfrac83\\\\ & = 2\frac23\:\sf ft \end{aligned}$

$\begin{aligned}\sf Area\:of\:a\:triangle & =\dfrac12 \sf \times base \times height\\\\& = \dfrac12 \times b \times 3\\\\ & = \dfrac12 \times \dfrac83 \times \dfrac31\\\\ & = \dfrac{24}{6}\\\\ & = 4\: \sf ft^2\end{aligned}$

$\begin{aligned}\sf Area\:of\:rectangle& =\sf length \times width\\\\& = 5 \times 1\frac13\\\\ & = \dfrac51\times \dfrac43\\\\& = \dfrac{20}{3}\\\\ & = 6\frac23\: \sf ft^2\end{aligned}$

$\begin{aligned} \sf Area\:of\:irregular\:figure & = \sf area\:of\:triangle+area\:of\:rectangle\\\\ & = 4 + 6\frac23\\\\ & = 10\frac23\: \sf ft^2\end{aligned}$

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2 years ago

Read 2 more answers

Please help! find measure of CDE ​

Please help! find measure of CDE