Answer:
80%
Step-by-step explanation:
To find percent decrease (new amount/original amount)*100
(500/625)*100
=80
--
to check
625*.80
=500
or
625*80%
=500
Answer:
A = 1500
3 years = $18,644.48
30 years = $132,032.78
Step-by-step explanation:
Answer:
Step-by-step explanation:
14) 2x - 10 = 80 {alternate interior angles are equal}
2x = 80 + 10
2x = 90
x = 90/2
x = 45°
15) 3x + 120 = 180 { co interior angles are supplementary}
3x = 180 - 120
3x = 60
x = 60/3
x = 20°
16) 3x + 15 = 135 {corresponding angles are equal}
3x = 165 - 15
3x = 150
x = 150/3
x = 50°
Let's first denote:
F - a favorable response
F' - an unfavorable response
S - successful
We know that:
So, from the conditional probability, we can calculate:
Answer E.
Answer:
60 degrees
Step-by-step explanation:
Restructured question:
The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.
First you must know that the sum of interior angle of a triangle is equal to the exterior angle
Interior angles = x−14 and x+4
Sum of interior angles = x-14 + x + 4
Sum of interior angles = 2x - 10
Exterior angle = 3x - 45
Equating both:
2x - 10 = 3x - 45
Collect like terms;
2x - 3x = -45 + 10
-x = -35
x = 35
Get the exterior angle:
Exterior angle = 3x - 45
Exterior angle = 3(35) - 45
Exterior angle = 105 - 45
Exterior angle = 60
Hence the measure of the exterior angle is 60 degrees
<em>Note that the functions of the interior and exterior angles are assumed. Same calculation can be employed for any function given</em>
