3 years ago

Can somebody answer this question for me?

Mathematics

1 answer:

xxMikexx [17]3 years ago

3 0

The opposite inner angles equal the outer one
(3x+5) = 2x + 30
x = 25

(3*25)+5
TSQ = 80

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Answer:

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Step-by-step explanation:

This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

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Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

$\frac{B(2B-3)}{2}=10\\\frac{2B^2-3B}{2}=10\\2B^2-3B=20\\2B^2-3B-20=0\\(2B+5)(B-4)=0\\B= - \frac{5}{2},4$

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$H=2(4)-3\\H=8-3\\H=5$

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