Answer:
The measure of the angles are 61° and 119°
Step-by-step explanation:
Let the first angle = x°
let the second angle = y°
The sum of two supplementary angles = 180°
x° + y° = 180° ----- equation (1)
based on the given question; "the difference of two supplementary angles is 58 degrees."
x° - y° = 58° ------- equation (2)
from equation (2), x° = 58° + y°
Substitute the value of x into equation (1)
(58° + y°) + y° = 180°
58 + 2y = 180
2y = 180 -58
2y = 122
y = 122 / 2
y = 61°
The second angle is given by;
x° = 58° + y°
x = 58° + 61°
x = 119°
Thus, the measure of the angles are 61° and 119°
Answer:
The answer is D. 153 Miles
Step-by-step explanation:
30 times 3= 90
21 times 3= 63
63 + 90= 153
11/12-5/12 is 6/12 or 1/2 a mile
Assume the first integer is
.
then we have the sequence for the 6 numbers:
their sum equals 519. so we have the equation
now solve it.
now that we know the value of
, we can find the sequence of the integers:
4x + 9 = 15 - 2x
+2x +2x
6x + 9 =15
6x = 15 - 9
6x = 6
x = 1