First picture:
2 and 7 are alternate exterior angles, which when added together need to equal 180 degrees.
Angle 7 = 180 - 146 = 34
Answer is B.34
Second picture:
Angle 8 = 48
Angle 8 + angle 7 = 180
Angle 7 = 180 - 49 = 131
Angle 5 and angle 7 are vertical angle, so angle 5 = angle 7 = 131
Angle 6 is a vertical angle to angle 8 so = 49
Angle 1 = angle 5 = 131
Angle 2 = angle 6 = 49
Angle 3 = angle 7 = 131
Angle 4 = angle 8 = 49
X=- 115/24
hope this helps :)
Answer:
(-11, -6)
Step-by-step explanation:
Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.
-3 - 5 = -8 (distance between x coordinates)
-1 - 4 = -5 (distance between y coordinates)
Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.
-3 - 8 = -11
-1 - 5 = -6
So, the point (x, y) is (-11, -6)
Answer:
$18,781.5
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Loan amount (P) = $15,000
Rate of interest (r) = 23%
Time (t) = 5 years
Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,
Final amount = P 
by putting the value in formula, we get
= $15,000 ( 
= $15,000 × 1.2521
= $18,781.5
Answer:
40 problems in 100 minutes
Step-by-step explanation:
This is a ratio problem.
You first divide 30 minutes by three to get how many problems she can do in 10 minutes. What you do to one side you do to the other side. So then, you should have 4 problems in 10 minute. Then, you multiply 10 by 10 and 4 by 10 to get 40 problems in 100 minutes.
