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Gekata [30.6K]
2 years ago
14

I need help with this problem! Must explain why.

Mathematics
1 answer:
OLEGan [10]2 years ago
7 0

Answer:

95°

Step-by-step explanation:

Angle 1 and 4 are opposite angles, thus equal, so:

3x+10 = 4x-15 =>

x = 25

Angle 1 and 4 are 85°

Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.

Angle 6 and 7 are again opposite, so angle 7 is 95° as well!

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\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:x = 16

____________________________________

\large \tt Solution  \: :

If two polygons are similar, their corresponding sides ratios will be equal to each other.

\qquad \tt \rightarrow \:  \cfrac{8}{16}  =  \cfrac{2x - 20}{24}

\qquad \tt \rightarrow \:  \cfrac{1}{2}  =  \cfrac{2x - 20}{24}

\qquad \tt \rightarrow \: 2x - 20 =  \cfrac{24}{2}

\qquad \tt \rightarrow \: 2x = 12 + 20

\qquad \tt \rightarrow \: 2x = 32

\qquad \tt \rightarrow \: x = 16

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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A.Pet owners may have to take out a loan when their animal has a major operation. Buddy needs to have a surgery on his leg. The
jeyben [28]
$2,500 • 7.5% (or 0.075) = $187.50 (for one year).

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The total of the cost of the surgery and the interest is $2,875.

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