mollywolly99

mollywolly99

26.02.2021 •

Mathematics

Figure ABCD is a trapezoid and figure CDEF is a parallelogram. The area of trapezoid ABCD is equal to the area of parallelogram CDEF. Find the length of CD.

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Ответ:

heathercollard57

19.11.2022

$\huge\text{Hey there!}$

$\large\textsf{x + x + 70 = 180}^\circ$

$\underline{\large\text{COMBINE the LIKE TERMS}}$

$\large\textsf{(x + x) + 70 = 180}^\circ$

$\large\textsf{x + x = \bf 2x}$

$\large\textsf{2x + 70 = 180}^\circ$

$\underline{\large\text{SUBTRACT 70 to BOTH SIDES}}$

$\large\textsf{2x + 70 - 70 = 180 - 70}$

$\large\text{CANCEL out: 70 - 70 because that gives you 0}$

$\large\text{KEEP: 180 - 70 because helps solve for the x-value}$

$\large\textsf{180 - 70 = \bf 110}$

$\underline{\underline{\large\text{New equation: 2x = 110}}}$

$\underline{\large\text{DIVIDE 2 to BOTH SIDES}}$

$\large{\mathsf{\dfrac{2x}{2}=\dfrac{110}{2}}$

$\large\text{CANCEL out: } \mathsf{\dfrac{2}{2}} \large\text{ because that gives you 1}$

$\large\text{KEEP: }\mathsf{\dfrac{110}{2}}\large\text{ because that gives you the answer of the x-value}$

$\mathsf{x = \dfrac{110}{2}}\\\\\large\textsf{x = 110}\div\large\textsf{2}\\\\\large\textsf{x = \bf 55}^\circ$

$\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = \bf 55}}^\circ}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

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