As shown in the given figure
line a // line b ⇒ given
MR and NP are transversals
So, for ΔMOP and ΔRON , we can conclude the following
(1) ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent
So, from 1,2 and 3
∴ ΔMOP <span>~ </span>ΔRON by AAA-Rule
B.
When two lines intersect they form two pairs of opposite angles.
Vertical angles are always congruent, which means that they are equal.
so m<7 = m<8 or m<3y + 19 = m<5y-29
C. solve for y and measure <7 and <8
3y + 19 = 5y-29
5y - 3y = 19+29
2y = 48
y = 24
so
5y-29 = 5(24) - 29 = 91
3y + 19 = 3(24) + 19 = 91
so <7 = 180 - 91 = 89
<7 = <8 = 89
X = # of posters, y = total cost
y = 2x + 250
y = 1000
1000 = 2x + 250
1000 - 250 = 2x
750 = 2x
750/2 = x
375 = x....so 375 posters can be printed
==========================
y = total cost, x = # of miles
y = 3x + 3
y = 117
117 = 3x + 3
117 - 3 = 3x
114 = 3x
114/3 = x
38 = x.....so the car was towed 38 miles
Answer:
x=16.3
Step-by-step explanation:
x-1.7=14.6
x=14.6+1.7
x=16.3
So you can multiply $61.70 x 4 and there for your answer is $246.80
