4% of 73 will be 2.92.
<span>This is because 4/100 X 73 = 2.92 </span>
Is there a picture that goes with this problem?
Answer:
a = 132; b = 12; c = 36
Step-by-step explanation:
a = b + 120
b = b
c = 3b
a + b + c = 180
(substitute these into the above equation)
b + 120 + b + 3b = 180
5b + 120 = 180
-120 -120
5b = 60
/5 /5
b = 12
(substitute b back into the first equations)
a = (12) + 120 = 132
b = (12)
c = 3(12) = 36
(check: 132 + 12 + 36 = 180)
I did the math and <span>x=116</span>
Answer:
m∠1= 80
m∠2= 100
m∠3= 80
Step-by-step explanation:
Given: m∠1= 2x +40
m∠2= 2y +40
m∠3= x +2y
m∠1 +m∠2= 180 (adj. ∠s on a str. line)
2x +40 +2y +40= 180
2x +2y+ 80= 180
2x +2y= 180 -80
2x +2y= 100
2(x +y)= 100
x +y= 100 ÷2
x +y= 50 -----(1)
m∠1= m∠3 (vert. opp. ∠s)
2x +40= x +2y
2x -x +40= 2y
x= 2y -40 -----(2)
Substitute equation (2) into (1):
2y -40 +y= 50
3y= 50 +40
3y= 90
y= 90 ÷3
y= 30
Substitute y= 30 into equation (2):
x= 2(30) -40
x= 60 -40
x= 20
m∠1
= 2x +40
= 2(20) +40
= 40 +40
= 80
m∠2
= 2y +40
= 2(30) +40
= 60 +40
= 100
m∠3
= x +2y
= 20 +2(30)
= 20 +60
= 80
Alternatively, since m∠1= m∠3,
m∠3
= m∠1 (vert. opp. ∠s)
= 80
