Answer:
45° and 135°
Step-by-step explanation:
let one angle be "x" and the other be "y"
Angles which are supplementary total to 180°. This can be represented with the equation:
x + y = 180
If angle "x" is a third of angle "y", the situation is represented with this equation:
(1/3)x = y
Since fractions are difficult to work with, multiply the whole equation by 3.
(1/3)x = y <= X 3
x = 3y
Use the equations x+y=180 and x=3y.
You can substitute x=3y into x+y=180.
x + y = 180
(3y) + y = 180 <=combine like terms
4y = 180 <=isolate y by dividing both sides by 4
y = 45
Substitute y=45 itno the equation x+y=180 to find x.
x + y = 180
x + 45 = 180 <=isolate x by subtracting 45 from both sides
x = 135
Therefore the angles are 45° and 135°.
Answer:
or 8.944
Step-by-step explanation:
Simplify
Square root both sides to get x by itself
or 8.944
50 yards for 1 lap
50 yards x 18 laps = 900 total yards
now divide the amount he swam by the total amount he wants to swim:
738 / 900 = 0.82 = 82%
Answer is B
Answer:
Correct choice is A
Step-by-step explanation:
Two vertices of the rectangle have coordinates A(-1, 5) and B(2, 1). If rectangle sides are parallel to the axes, then two remaining vertices have coordinates C(-1,1) and D(2,5) (see attached diagram for details).
Find the length and the width:
Then the length is 1 unit longer than the width.
