Answer:
slope = 5
Step-by-step explanation:
Parallel lines have the same slope
Equation: y = mx + b
So, slope m = 5
Answer:
6, 8
7, 9
1, 4
they are congruent (same angle measure)
Answer: 3/4
Step-by-step explanation: Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the divison sign to multiplication and flip the second fraction.
So here, 3/8 divided by 1/2 can be rewritten as 3/8 × 2/1.
Now we are simply multiplying fractions so we multiply across the numerators and we multiply across the denominators.
So we have 3 × 2 which is 6 and 8 × 1 which is 8. Since 6/8 is not in lowest terms, we divide the numerator and the denominator by the greatest common factor of 6 and 8 which is 2 and we get the equivalent fraction 3/4.
Therefore, 3/8 divided by 1/2 is 3/4.
Answer:
$21,623.70
Step-by-step explanation:
A suitable financial calculator can compute the beginning balance and the remaining balance for you. The attachments show a TI-Nspire calculator's TVM solver app being used to answer this question.
The first attachment shows the computation of the loan value. It is about $37,624.54.
The second attachment shows the computation of the remaining balance after 16 of the 32 semi-annual payments have been made.
The loan balance 8 years from the end of the loan will be about $21,623.70.
Answer:
The expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.
Step-by-step explanation:
The data provided is:
Opinion
Front Footage For Undecided Against Total
Under 45 feet 12 4 4 20
45-120 feet 35 5 30 70
Over 120 feet 3 2 5 10
Total 50 11 39 100
The formula to compute the expected frequency is:

Compute the expected frequency for people against the project and who have over 120 feet of property foot frontage as follows:


Thus, the expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.