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
2(5x-15) + 2(2x+7) =0
10x-30+4x+14 = 0
14x = 16
x = 8/7
5/14 is the difference between 3/7 and 1/14.
Width is x - 3
A
=
x
2
+
6
x
−
27
=
(
x
+
9
)
(
x
−
3
)
Answer:
320 cm [125.984 inches]
Step-by-step explanation:
A(l) = (a+b+c) x h
h=20
a=3
b=8
c=5
A(l) = (3+5+8) x 20
A(l) = 320