The value of x in both case is 17 and 10.
<h3>
</h3><h3>What is complementary and supplementary angle?</h3>
If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.
1. As the given angle is 90 degree i.e., complementary angle.
So,
22+4x=90
4x= 90-22
4x= 68
x= 17
2. As the figure for the linear pair i.e., supplementary angle
So,
110+7x=180
7x=70
x=10
Hence the value of x in both case is 17 and 10.
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Answer:
6
Step-by-step explanation:
6
Answer:
The two numbers are 4 and 22.
Step-by-step explanation:
Let the two numbers be x and y. Let y be the smaller number.
x - y = 18
2y + 3x = 74
Solve the first equation for either variable and plug it into the second equation.
Solving for y: x = y + 18
2y + 3(y + 18) = 74
Simplify.
2y + 3y + 54 = 74
5y + 54 = 74
5y = 20
y = 4
Go back and solve for x.
x - y = 18
x - 4 = 18
x = 22
The two numbers are 4 and 22.
Check using both equations.
The difference between 22 and 4 is 18.
Twice the smaller is 8. Three times the larger is 66. The sum of 8 and 66 is 74.
Answer:
3. undefined (vertical line)
4. 1
7. -4
8. 3
11. undefined (vertical line)
12. -1/3
Step-by-step explanation:
You can use the slope formula to calculate the slope which is (y2-y1)/(x2-x1)
3. (-4 - (-2)) / (6-6) denominator is 0 here so the slope is undefined (vertical line)
4. (7 - 1) / (-2 - (-4)) = 6 / 6 = 1
7. (1 - (-7)) / (2 - 4) = 8 / -2 = -4
8. (-1 - 5) / (0 -2 ) = -6 / -2 = 3
11. (3 - 0) / (-6 - (-6)) = 3 / 0 = undefined (vertical line
12. (2 - 3) / (-5 - (-2) = 1 / -3 = -1/3