Answer:
∠ 2 = ∠ 4 = 83°
Step-by-step explanation:
∠ 2 and ∠ 5 are same- side interior angles and sum to 180° , that is
∠ 2 + 97° = 180° ( subtract 97° from both sides )
∠ 2 = 83°
∠ 2 and ∠ 4 are vertical angles and are congruent, then
∠ 4 = 83°
Answer:
Answer D: 8.7 cm
Step-by-step explanation:
First compare the actual diameters of both cables to find out which one is larger. If we write both diameters in fraction form (as they are given), we need to have them expressed with the same denominator for a straight forward comparison:
Bundle A: 
Bundle B: 
So we multiply this last fraction by 2 in numerator and denominator to obtain the same denominator as for Bundle A without actually changing its numerical value: 
So now we compare Bundle A with bundle B, and see that bundle B has the larger diameter: 22/8 inches
The hole has to be 25% larger than this larger diameter, so we estimate 25% of 22/8 in is:
inches
Therefore, the hole must be of diameter 22/8 in plus 0.6875 in = 3.4375 in
Now we convert this value into centimeters by multiplying it by 2.54 (since one inch is 2.54 cm):
3.4375 * 2.54 = 8.73125 cm
which rounded to the nearest tenth as requested in the problem is: 8.7 cm
Answer:
See explanation
Step-by-step explanation:
<u>Linear:</u>
1. During the spring, the grass in Gianna's yard grew
inch per week.
Equation:
where x is the number of spring weeks, y inches is the height of the grass after x weeks.
2. Rita babysits. She worked 2 hours and earned $24. She worked 3 hours and earned $36.
Equation:
where x is the number of hours, y is the amount Rita earned in x hours.
<u>Exponential:</u>
1. The population of the town was 25,000 in 1980. Then the population increased by
per year.
Equation:
where x is the number of years, y is the population after x years passed since 1980.
2. A car was worth $18,500 when it was new. Then the value decreased 18% per year.
Equation:
where x is the number of years, y is the car price after x years passed.
<u>Neither linear nor exponential:</u>
Albert went on a hike. After 1 hour, he had hiked 4 miles; after 2 hours he had hiked 7 miles; after 3 hours he had hiked 11 miles.
The differences 7 - 4 = 3, 11 - 7 = 4 are different, so the function is not linear. Also it is not exponential, becayse each next number of miles is not multiplied the previous number of miles by some number.
Let
x -----> the number
we know that
The algebraic expression of the problem is giving by
x^2 -----> square a number
then
square root of the result
so

therefore
The final result is the same original number