Answer:
X=50
Step-by-step explanation:
x is the angle
180 - x is its suplement
90 - x is its complement
(180 - x) - 3(90 -x) = 10
180 - x -270 +3x = 10
-90 + 2x = 10
2x = 100
X = 50
Answer: the number of multiple-choice questions in the math test is 35 and the number of open-ended questions in the math test is 3
Step-by-step explanation:
Let x represent the number of multiple-choice questions in the math test.
Let y represent the number of open-ended questions in the math test.
The math test has 38 questions. It means that
x + y = 38
This test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. The total number of points is 200. It means that
4x + 20y = 200 - - - - - - - - - -1
Substituting x = 38 - y into equation 1, it becomes
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
48/16
y = 3
Substituting y = 3 into x = 38 - y, it becomes
x = 38 - 3 = 35
Answer:
x = -24
Step-by-step explanation:
We gotta get rid of that 3 under x, so we multiply the reciprocal of 1/3, which is 3, if we multiply that on one side, we must also multiply on the other side.
3 · x/3 = -8 · 3
x = -24
Hope this helps! good luck on whatever you're doing :]
2/5 ≥ x - (4/5). add 4/5 to each side
6/5 ≥ x
Answer:
10
Step-by-step explanation:
f⁻¹(6) = 10
