If ebc = 31a - 2 and ebh = 4a + 45 find hbc

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

so

m∠EBC=2(m∠EBH)

substitute the given values and solve for a

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°

5 pm

step-by-step explanation:

3x^3-2x^2+4x-3= -3

x^2+3x+3= 3

-3÷3= -1