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Lostsunrise [7]
3 years ago
6

PLEASE HELP ME WITH THESE TWO

Mathematics
1 answer:
Artist 52 [7]3 years ago
4 0

7.

\begin{array}{l|l}{\underline {Statement} &\underline{Reason}\\1.\ MA\ ||\ RY&1.\ \text{Given}\\2.\ \angle M \cong \angle R&2.\ \text{Alternate Interior Angles Theorem}\\3.\ \angle M \cong \angle R&3.\ \text{Given}\\4.\ AY \cong AY&4.\ \text{Reflexive Property}\\5.\ \triangle MAY \cong \triangle RYA&5.\ \text{Angle-Angle-Side Theorem}\\6.\ MY \cong RA&6.\ \text{CPCTC}\\\end{array}


9.

\begin{array}{l|l}{\underline {Statement} &\underline{Reason}\\1.\ \triangle JKM \text{is equilangular}&1.\ \text{Given}\\2.\ \angle J \cong \angle K \cong \angle M&2.\ \text{De-finition of Equiangular}\\3.\ IE \perp MK&3.\ \text{Given}\\4.\ \angle IEK\ \text{and}\ \angle IEM\ \text{are right angles}&4.\ \text{De-finition of Perpendicular}\\5.\ \angle IEK \cong \angle IEM&5.\ \text{Transitive Property}\\6.\ IE \cong IE&6.\ \text{Reflexive Property}\\\end{array}

\begin{array}{l|l}\\7.\ \angle EIK\ \text{and}\ \angle EIM\ \qquad \qquad \qquad \quad &7.\ \text{Triangle Sum Theorem}\\8.\ \angle EIK \cong \angle EIM&8.\ \text{Transitive Property}\\9.\ \triangle IKE \cong \triangle IME&9.\ \text{Angle-Side-Angle Theorem}\end{array}


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natta225 [31]

Part a: The triangles ∆ABC and ∆EDC are similar by AA similarity rule.

Part b: The width of AB is 67.5 feet

Explanation:

Part a: We need to prove that the two triangles ABC and EDC are similar.

To prove the triangles are similar, then their angles must be similar.

Thus, we have,

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Part b: We need to determine the width of AB

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where DE=54 ft, DC=72 ft and CB=90ft

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\frac{54}{AB} =\frac{72}{90}

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67.5=AB

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4 0
3 years ago
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