Answer:
sum of the interior angles x and y gives the exterior angle z
(4n-18)°+(n+8)°=(133-6n)°
4n°-18°+n°+8°=133°-6n°
4n°+n°-18°+8°=133°-6n°
5n°-10°=133°-6n°
5n°+6n°=133°+10°
11n°=143°
11°n/11°=143°/11°
n=13
exterior angle=133-6×13
=133-78
=55
Answer:
A plain pizza is $10.50 and a pepperoni pizza is $12.50
Step-by-step explanation:
Create a system of equations where x is the price of a pepperoni pizza and y is the price of a plain pizza:
3x + 2y = 58.5
2x + 4y = 67
Solve by elimination by multiplying the top equation by -2:
-6x - 4y = -117
2x + 4y = 67
Add these together and solve for x:
-4x = -50
x = 12.5
So, a pepperoni pizza is $12.50. Plug in 12.5 as x into one of the equations, and solve for y:
2x + 4y = 67
2(12.5) + 4y = 67
25 + 4y = 67
4y = 42
y = 10.5
So, a plain pizza is $10.50.
A plain pizza is $10.50 and a pepperoni pizza is $12.50
Multiply the first equation by 2
4x-6y=16
Then add the equations to eliminate x
4x-6y=16
-4x+5y=-10
-y=6
y-=6
Plug the y value in
2x-3(-6)=8
2x+18=8
2x=-10
x=-5
Final answer: (-5,-6)
Answer:
34 cm
Step-by-step explanation:
PR = PQ + QR
PQ = QR because Q is the mid-point
Since PQ = 17 cm, then QR = 17 cm
so,
PR = 17 + 17
PR = 34 cm
