Answer:
m∠M = 79°
m∠N = 66°
Step-by-step explanation:
∠MPN is supplementary to ∠MPQ, so m∠MPN = 35
The sum of the measures of a triangle is 180.
So, m∠M + m∠N + m∠MPN = 180
5y + 4 + 4y + 6 + 35 = 180
9y + 45 = 180
9y = 135
y = 15
m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79
m∠N = 4y + 6 = 4(15) + 6 = 66
Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.
That means 5y + 4 + 4y + 6 = 145
9y + 10 = 145
9y = 135
y = 15
From knowing the value of y you can now find the measures of angles M and N
Answer:
19x
Step-by-step explanation:
The cost of the racing cars was ...
2(5x) = 10x
The cost of the model motorcycles was ...
3(3x) = 9x
Peggy paid in total ...
10x + 9x = 19x
Answer:
235or 236
Step-by-step explanation:
A cone has a radius of 5 cm
a height of 9 cm
Volume of cone =1/3πr^2h
=1/3×3.14×5×5×9
= 3.14×25×3
=3.14×75
=235.5
=235or 236 is the answer
Answer:
k squared minus 4/ A
Step-by-step explanation:
took the test
I think it is $30 since it has the highest probability.
