9514 1404 393
Answer:
x = 57
Step-by-step explanation:
Where parallel lines are crossed by a transversal, all obtuse angles are congruent and supplementary to all acute angles, which are also congruent.
x = 180 -123
x = 57
Answer:
4600
Step-by-step explanation:
We can write a proportion to find the total amount who attend university using the information given. A proportion is two equivalent ratios set equal to each other. Since 70% live on campus, then 30% live off campus and we are told that number is 1,380.

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.
30y=100(1380)
30y=138000
y=4600.
There are 4600 students who attend the university.
Answer:
c) 
Step-by-step explanation:
Equation for regression line of y on x is given as

where
= predicted value
m = slope of line
b = intercept
m and b are found as

r = correlation coefficient = 0.88
Sx = standard deviation for independent variable x = 13
Sy = standard deviation for dependent variable y = 27
= mean value of independent variable x = 21
= mean value of dependent variable y = 55
Substituting these values in (2) and (3)


Putting these values of m and b in (1)

Answer:
the 15th term is 11
Step-by-step explanation:
common difference is= -4
first term is 67
Answer:
Interest = $20
Amount due = $120
Step-by-step explanation:
This is a Simple Interest problem. Simple interest is given as:
I = (P * R * T) / 100
Where I = interest
P = principal or amount loaned
R = rate of interest
T = time elapsed
Ted borrowed $100 from 2 years at a 10% interest rate.
This means that P = $100, R = 10%, T = 2 years.
Hence, the interest will be:
I = (100 * 10 * 2) / 100
I = 2000 / 100
I = $20
The interest after two years will be $20.
Therefore, the total amount due at the end of the loan is:
A = P + I
A = 100 + 20 = $120
The amount due is $120.