Given:
Angle A is 4 degrees greater than the measure of Angle B. Both angles are complementary
Complementary angles have a sum of 90°
Angle A = x + 4° ; Angle B = x
x + 4° + x = 90°
2x = 90° - 4°
2x = 86°
x = 86° ÷ 2
x = 43° ANGLE B.
Angle A = x + 4° ⇒ 43° + 4 = 47°
Given:
Angle D is 5 times the measure of Angle E. These angles are supplementary. This means that their sum is 180°
Angle D = 5x ; Angle E = x
5x + x = 180°
6x = 180°
x = 180° ÷ 6
x = 30° Angle E.
Angle D = 5x = 5(30) = 150°
Answer:
~ <em>50 centimeters of the poster ~</em>
Step-by-step explanation:
Let us plan out our steps, and solve for each:
<em>1. Given the information, let us create a proportionality as such:</em>
<em />
5 = 1 ⇒ x - centimeters of the poster
x 10
<em>2. Now let us cross multiply, and solve through simple algebra for x:</em>
5 * 10 = x,
x =<em> 50 centimeters of the poster </em>
<em></em>
Answer:
45% increase
Step-by-step explanation:
The new number (87) is bigger than the original number (60), so this is a percent increase.
To find the percent of change, which in this case is a percent increase, take the change amount and divide by the original, then convert to a percent.
Subtract to find the change.
87 - 60 is 27.
27 is the amount of change.
change/original
= 27/60
= .45
Times by 100 to change to a percent.
.45 × 100
= 45%
X ∈ (real numbers symbol not in brackets) : 0<x<17.89 and 18.61<x
Since it takes one hour to fly 230 miles, and we are looking for the number of hours, we can divide the number of miles we are given by the speed. In this case, we would divide 1380 by 230 to get 6. This means it would take 6 hours for the plane to fly 1380 miles.
