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2 years ago

If El = 16t + 20 and GI = 15t + 21, find the value of t in parallelogram EFGH

Mathematics

1 answer:

svet-max [94.6K]2 years ago

7 0

Diagonals bisect eachother in a paralleogram

$\\ \tt\hookrightarrow EI=GI$

$\\ \tt\hookrightarrow 16t+20=15t+21$

$\\ \tt\hookrightarrow 16t-15t=21-20$

$\\ \tt\hookrightarrow t=1$

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Given that ΔPQR is similar to ΔPTS, which statement MUST be true? A) m∠PST = m∠QPR B) m∠TPS = m∠RPQ C) m∠SPT = m∠PTS D) m∠PRQ =

galina1969 [7]

Answer:

The correct option is B.

Step-by-step explanation:

Two triangle are similar if their corresponding sides are in the same proportion or the corresponding angles are same.

It is given that the ΔPQR is similar to ΔPTS. It means all corresponding angles are same.

$\angle R=\angle S$

$\angle Q=\angle T$

$\angle P=\angle P$

Angle P can be defined as

$\angle QPR=\angle TPS$

$\angle RPQ=\angle TPS$

Therefore option B is correct.

$\angle PST\neq\angle QPR$

$\angle SPT\neq\angle PTS$

$\angle PRQ\neq\angle PTS$

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Answer:

Step-by-step explanation:

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k0ka [10]

Answer:

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Step-by-step explanation:

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