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aalyn [17]
3 years ago
7

Decide whether JKLM is similar to NPRS. Explain your reasoning.

Mathematics
2 answers:
jeka57 [31]3 years ago
7 0

The sum of the angle measures in a quadrilateral is 360°. Using this fact, you can determine that the missing angle measures are ∠J = 95° and ∠P = 60°. So, the corresponding angles of the quadrilaterals are congruent. Also each side of the larger quadrilateral is 3 times as long as the corresponding side length of the smaller quadrilateral. So, the side lengths are proportional. Therefore, JKLM is similar to NPRS.

∠J = 360° - 140° -65° -60° = 95° = ∠N

... ⇒ ∠P = ∠K = 60°

Yanka [14]3 years ago
3 0
Yes similar because the sum of the angle is 360 how to know its 360 use the formula
(n-2) x 180 = so
(4-2) x 180 =360
angle for J (140+65+60+j)=360
j=95
angle for p(140+95+65+p)=360
p=60

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ANSWER

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


EXPLANATION

We want to factor
\frac{3}{4}
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\frac{3}{4} z + 6

The first term is already having a factor of
\frac{3}{4}
The constant term which is the second term is not having a factor of
\frac{3}{4}
so we need to use a trick of multiplying and dividing by the same factor to obtain,



\frac{3}{4} z + 6 =  \frac{3}{4} z +  \frac{3}{4}  \times  \frac{6}{ \frac{3}{4} }


We can now factor
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\frac{3}{4} z + 6 =  \frac{3}{4} (z +  \frac{6}{ \frac{3}{4} } )
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\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6 \div  \frac{3}{4}  )




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