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2 years ago

If EBC = 31a - 2 and EBH = 4a + 45 find HBC

Mathematics

1 answer:

Zigmanuir [339]2 years ago

8 0

Answer:

The measure of angle HBC is m∠HBC=61°

Step-by-step explanation:

In this problem we have that

The line BH bisects angle EBC,

see the attached figure to better understand the problem

then

m∠EBC=m∠EBH+m∠HBC

m∠EBH=m∠HBC

m∠EBC=2(m∠EBH)

substitute the given values and solve for a

$31a-2=2(4a+45)\\31a-2=8a+90\\31a-8a=92\\23a=92\\a=4$

Find the measure of angle EBH

m∠EBH=(4(4)+45)=61°

Remember that

m∠EBH=m∠HBC

therefore

The measure of angle HBC is m∠HBC=61°

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Which pair represents the same complex number?

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Rom4ik [11]

Answer:

Probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

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