Answer:
Part 1) The measure of arc EHL is
Part 2) The measure of angle LVE is
Step-by-step explanation:
step 1
Let
x-----> the measure of arc EHL
y----> the measure of arc EVL
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
we have
substitute
------> equation A
Remember that
-----> equation B ( complete circle)
substitute equation A in equation B and solve for x
Find the value of y
therefore
The measure of arc EHL is
The measure of arc EVL is
step 2
Find the measure of angle LVE
we know that
The inscribed angle measures half that of the arc comprising
Let
x-----> the measure of arc EHL
we have
substitute
Answer: 2?
Step-by-step explanation:
For every c substitute 4 and for every d substitute -2
c=4
d=-2
6c + 5d - 4c - 3d + 3c - 6d
= 6(4)+ 5(-2)- 4(4)- 3(-2)+ 3(4)- 6(-2)
=24+(-10)-16-(-6)+12-(-12)
=24-10-16+6+12+12
=28
You have to know what it is before you solve the problem