Answer:
3) x = 15; 95 and 85 4) x = 12; 98 for both angles
Step-by-step explanation:
2x + 65 + 3x + 40 = 180 Set the equations equal to 180
5x + 105 = 180 Combine like terms
- 105 - 105 Subtract 105 from both sides
5x = 75 Divide both sides by 5
x = 15
Plug 15 into both equations
2(15) + 65 = 95
3(15) + 40 = 85
4) 5x + 38 = 9x - 10 Set the equations equal to each other
- 5x - 5x Subtract 5x from both sides
38 = 4x - 10
+ 10 + 10 Add 10 to both sides
48 = 4x Divide both sides by 4
12 = x
Plug 12 into both equations
5(12) + 38 = 98
9(12) - 10 = 98
Answer:
Option C) Subtract 72° from 180°
Step-by-step explanation:
We are given the following in the question:
Measure of exterior angle = 72°
Properties of exterior angles:
- An exterior angle of a polygon is an angle at a vertex of the polygon but outside the polygon.
- It is formed by one side and the extension of an adjacent side.
- The interior and exterior angles are supplementary.
- Thus, the sum of the interior angle and the exterior angle is 180 degrees.
- All the exterior angles of a regular polygon are equal in measure.
Thus, we can write:
Let x degrees be the measure of the interior angle. Thus, we can write:
The measure of the interior angle is 108 degrees.
Thus, the correct answer is:
Option C) Subtract 72° from 180°
Answer:
5/7 × 2/3
Step-by-step explanation:
Answer:
$129
Step-by-step explanation:
Let us represent:
Cost Adult tickets = x
Cost Children's tickets = y
The total cost of ticket = C =
A family goes to an amusement park adult tickets cost $21 children under 10 years of age pay $15
C = $21 × x + $15 × y
C = 21x + 15y
The total cost of 4 adult tickets and 3 children's tickets is calculated as:
C = 21 × 4 + 15 × 3
C = 84 + 45
C = $129
It takes 10 1/10ths to make a minute so you have to take 1/7 times 10 and you get 10/7. Now divide 10 by 7 and you get 1 3/7 of an apple per minute.
