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2 years ago

15

Can someone help me on question 14. Please show steps

1 answer:

zavuch27 [327]2 years ago

5 0

Answer:

$0.5a+7.5b^2$

Step-by-step explanation:

$4b^2+3.5a-2a+3.5b^2-a$

Group similar terms together:

$3.5a-2a-a+4b^2+3.5b^2$

Add the term $b^2$ :

$3.5a-2a-a+7.5b^2$

Subtract the term a:

$0.5a+7.5b^2$

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Find the value of x in each case:

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Answer:

$x=30\°$

Step-by-step explanation:

<u>Find the measures of interior angles in each triangle</u>

Triangle BGC

$m$

The measures of triangle BGC are $90\°-60\°-30\°$

Triangle CGH

we know that

$m$ -----> by consecutive interior angles

we have that

$m$

so

$m$

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substitute

$m$

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$m$

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remember that

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$60\°+2x+180\°-4x=180\°$

$60\°=2x$

$x=30\°$

The measures of triangle CGH are $60\°-60\°-60\°$

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$m< EGH=90\°-2x=90-2(30\°)=30\°$

$m< GHE=4x=4(30\°)=120\°$

remember that

$m$

substitute and solve for m<GEH

$30\°+120\°+m$

$150\°+m$

$m$

The measures of triangle GHE are $30\°-120\°-30\°$

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