Supplementary angles = 180
angle A = 180 - angle B
angle A = 180 - 110
Angle A = 70 degrees
Answer:
she has 3 quarters
Step-by-step explanation:
let's call the amount of dimes D
let's call the amount of quarters Q
you know that she has 11 coins in total,
so D + Q = 11.
you also know that each dime is worth 10 cents.
and each quarter is worth 25 cents.
so 10d + 25q = 155
this is a system of equations. solve by substitution:
d = 11 - q
10d + 25q = 155
10(11 - q) + 25q = 155
110 - 10q + 25q = 155
15q + 110 = 155
15q = 45
q = 45/15
q = 3
Answer:
E) 166
Step-by-step explanation:
Standard deviation is 10
Margin error for the problem is 2
Probability 99%, that means thet the siginficance level α is 1 – p
α = 1 – 0.99 = 0.01
margin of error (ME) can be defined as follows
ME = Z(α/2) * standard deviation/ √n
Where n is the sample size
Z(0.01/2) = Z(0.005)
Using a z table Z = 2.576
Now, replacing in the equation and find n
2 = 2.576 * 10/ √n
2 = 25.76 /√n
√n = 25.76 /2
√n = 12.88
n = 12.88^2
n = 165.89 ≈166
The answer to the question is d 6x +12