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Andrej [43]
3 years ago
12

What is the ordered pair of the midpoint of a segment with endpoints at (3, 10) and (7, 20)?

Mathematics
1 answer:
8090 [49]3 years ago
6 0

Answer:

to find midpoint =(x1+x2/2,y1+y2/2)

(3,10) ,(7,20)

x1 ,y1. x2,y2

=P(x,y)=(3+7/2,10+20/2)=(5,15)

midpoint of a segment =(5,15)

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A quadrilateral has two angles that measure 222° and 81°. The other two angles are in a ratio of 6:13. What are the measures of
hram777 [196]

\sf\huge\underline{\star Solution:-}

\rightarrow <u>Ratio of two angles are 6:13.</u>

So, let the one angle be \sf{6x} and another be \sf{13x.}

As we know that,

Sum of all interior angles of a quadrilateral = \sf\pink{360°.}

So let's sum up the given angles,

\rightarrow \sf{222°+81°+6x+13x \:=\:  360°}

\rightarrow \sf{303+19x \:=\:  360°}

\rightarrow \sf{19x \:=\:  360-303}

\rightarrow \sf{19x \:=\:  57}

\rightarrow \sf{x \:=\:  \frac{19}{57}}

\rightarrow \sf{x \:=\:  3}

Hence, \sf{x \:=\:  3}

So, First angle \sf{= \:6x\: = \:6×3 \:=} \sf\purple{18°.}

Second angle \sf{= \:13x\: = \:13×3 \:=} \sf\purple{39°.}

_________________________________

Hope it helps you:)

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