This is in the third quadrant where the tangent of the angle is positive
tan pi/4 = 1 = y/-1 so y = -1
The required point is (-1,-1)
Answer:
10:7
Step-by-step explanation:
40:28 are both divisible by 4. 40/4 is 10. 28/4 is 7. So the ratio would be 10:7 since neither is divisible by both the same number, this is the final ratio.
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:
Since line A and B are parallel, 3x+7 is equivalent to Angle 6 as they are corresponding angles.
We also know that 4x+5+Angle 6 = 180 as they are a linear pair. We can use substitution and substitute 3x+7 for Angle 6...
4x+5+3x+7=180
7x+12=180
7x=168
x=24
Answer:
DON'T LOOK AT THE PICTURE!!
Step-by-step explanation: