Answer:
The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.
Then one angle is marked as a right angle meaning it has a measure of 90 degrees.
Using this information and the labels on the diagram we can set up an equation:
x+3x+2+90=180
Now we can solve for x.
4x+92=180
4x=88
x=22 degrees
The measure of one of the acute angles is 22 degrees.
Now to solve for the measure of the other acute angle.
Subsitute the value of x first.
x=22
(3x+2)=?
3*22+2=68 degrees
The measure of the other acute angle is 68 degrees.
Slope intercepts do.
Linear equations are straight lines, not curves.
Solution sets are for inequalities.
Linear equations never have a squared value, that would make it exponential.
Answer:
980 students
Step-by-step explanation:
14/20=x/1400
cross multiplication and then u get the equatiton 20x=19600
solve and get 980
Answer:
The correct option is;
e. 2500
Step-by-step explanation:
The formula for sample size is given by the following formula;
At 95%, z = 1.96
ε = Margin of error = 0.02 = 2%
Finding the sample size, n, given only the margin of error is by the following formula;
Margin of error = 100/√n
Therefore, we have;
2 = 100/√n
√n = 100/2 = 50
n = 50² = 2500
Therefore, the correct option is e. 2500.
