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Ymorist [56]
4 years ago
5

PLEASE HELP ME!!!!!

Mathematics
1 answer:
MrMuchimi4 years ago
5 0
We know that

if <span>Ray RT bisects QRS
then
the ray RT </span> divide into two equal parts the ∡QRS
so
∡QRT=∡TRS
∡QRT=∡QRS/2-------> 64°/2------> 32°
∡QRT=32°
∡TRS=32°
<span>
the answer is
</span>the measures of QRT and TRS is 32°
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Answer:

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Step-by-step explanation:

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Assume x be the width of the rectangle.

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The length of the rectangle is= (2x+6) cm

Then the diagonal of the rectangle is \sqrt{length^2+width^2}

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                                                             =\sqrt{5x^2+24x+36} cm

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\sqrt{5x^2+24x+36}=15

Squaring both sides

\Rightarrow{5x^2+24x+36}=15^2

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⇒5x²+45x-21x-189=0

⇒5x(x+9)-21(x+9)=0

⇒(x+9)(5x-21)=0

⇒x+9=0  or,   5x-21=0

\Rightarrow x=-9, \frac{21}5

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Since the width of a rectangle can not negative.

So, x=4.2 cm

The width of rectangle is = 4.2 cm

The length of the rectangle is =(2×4.2+6)

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