A.
2 1/2 * 3
5/2 * 3 = 15/2 = 7 1/2 ft used
B
8 - 7 1/2 = 1/2 feet left.
Answer:
answer below
Step-by-step explanation:
∠3 = 76°
∠1 = ∠3 = 76° (vertical angle)
∠2 = 180 - ∠1 = 180° - 76° = 104° (supplementary adjacent angle)
∠4 = ∠2 = 104° (vertical angle)
The two intersection points are (-2.79, -0.58) and (0.79, 6.58).
<h3>
How to find the points of intersection?</h3>
Here we want to solve the system of equations:
y = 2x + 5
x² + y² = 36
To solve this, we need to replace the first equation into the second one:
x² + (2x + 5)² = 36
Now we can solve this for x:
x² + 4x² + 10x + 25 = 36
5x² + 10x - 11 = 0
This is a quadratic equation, to solve it we use the general formula:

So we have two solutions for x:
x = (-10 - 17.9)/10 = -2.79
x = (-10 + 17.9)/10 = 0.79
To get the y-values of the solutions, we evaluate the linear equation in these values of x:
y = 2*(-2.79) + 5 = -0.58
y = 2*( 0.79) + 5 = 6.58
Then the two intersection points are (-2.79, -0.58) and (0.79, 6.58).
If you want to learn more about intersection points:
brainly.com/question/17206319
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Answer:
mode : the value that appears most frequently in a data set
mean : te everage of all number
median : the middle number in a sorted, ascending or descending
range : the difference between the largest and smallest numbers.
ANSWER ;
mode : none
mean : 145.4 ( you need to add all the number and divide by how many your family member)
median : 159
range : 80 ( the largest - the smallest)