Answer:
Part a) <1=72°
Part b) <2=108°
Part c) <3=72°
Part d) <4=108°
Step-by-step explanation:
step 1
Find the measure of angle 1
we know that
<1+108°=180° -----> by supplementary angles
so
<1=180°-108°=72°
step 2
Find the measure angle 2
we know that
<2=108° -----> by corresponding angles
step 3
Find the measure angle 3
we know that
<3=<1-----> by corresponding angles
so
<3=72°
step 4
Find the measure angle 4
we know that
<4=108° -----> by alternate exterior angles
Answer:
y= -1x+ 7
Step-by-step explanation:
x in a equation is slope and the other number is y- intercept
8x + 16 =6x
16 = 6x-8x
16 = -2x
X=-8
Answer: Chiara's monthly payment is $194.7
Step-by-step explanation:
The cost of the new natural gas barbecue for $2,100. She made a down payment 30% off the purchase price. This means that the amount of down payment made is
30/100 × 2100 = 0.3 × 2100 = $630
Amount left to pay would be
2100 - 630 = $1470
The formula for determining monthly loan payment is
A = P(r(1 + r)^n)/((1 + r)^n - 1)
There would be 9 monthly payments, so
n = 9
r = 0.055/12 = 0.0046
P = 1470
A = 1470(0.0046(1 + 0.0046)^9)/((1 + 0.0046)^9 - 1)
A = (1470 × 0.0049)/0.037
A = 7.203/0.037
A = 194.67
5/8 = 0.625
2/3 = 0.666
Thus, 2/3 is greater than 5/8. True.
Hope this helps!