Answer:
67.5 degrees
Step-by-step explanation:
The angles at the center of the figure = 360 degrees
Therefore, 3x + x + 90 degrees = 360 degrees
simplifying:
4x + 90 degrees = 360 degrees
4x = 360 - 90
4x = 270 degrees
x = 270÷ 4
x = 67.5 degrees
Answer:
x = 2.1
Step-by-step explanation:
Solve for x:
0.4 (2 x + 0.3) = (6 x - 7.2)/3
Multiply both sides by 3:
3×0.4 (2 x + 0.3) = (3 (6 x - 7.2))/3
(3 (6 x - 7.2))/3 = 3/3×(6 x - 7.2) = 6 x - 7.2:
3×0.4 (2 x + 0.3) = 6 x - 7.2
3×0.4 = 1.2:
1.2 (2 x + 0.3) = 6 x - 7.2
Expand out terms of the left hand side:
2.4 x + 0.36 = 6 x - 7.2
Subtract 6 x from both sides:
(2.4 x - 6 x) + 0.36 = (6 x - 6 x) - 7.2
2.4 x - 6 x = -3.6 x:
-3.6 x + 0.36 = (6 x - 6 x) - 7.2
6 x - 6 x = 0:
0.36 - 3.6 x = -7.2
Subtract 0.36000000000000004` from both sides:
(0.36 - 0.36) - 3.6 x = -0.36 - 7.2
0.36 - 0.36 = 0:
-3.6 x = -0.36 - 7.2
-0.36 - 7.2 = -7.56:
-3.6 x = -7.56
Divide both sides of -3.6 x = -7.56 by -3.6:
(-3.6 x)/(-3.6) = (-7.56)/(-3.6)
(-3.6)/(-3.6) = 1:
x = (-7.56)/(-3.6)
(-7.56)/(-3.6) = 2.1:
Answer: x = 2.1
Answer:
The equation of a line in the slope-intercept form is:
y = 5x - 18
The slope-intercept form of the line equation
where
m is the slope
b is the y-intercept
In our case, we are given
m = 5
Point (4, 2)
now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept
y = mx + b
2 = 5(4) + b
20 + b = 2
subtract 20 from both side
20 + b - 20 = 2 - 20
b = -18
now substituting b = -18 and m = 5 in the slope-intercept form of the line equation
y = mx + b
y = 5x + (-18)
y = 5x - 18
Therefore, the equation of a line in the slope-intercept form is:
y = 5x - 18
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Answer:
I hope this ans helps you
Answer:
- 3, 9, 25
Step-by-step explanation:
To find the required terms of the sequence substitute n = 2, 5, 9 into the given rule, that is
= - 7 + (2 - 1)4 = - 7 + (1 × 4) = - 7 + 4 = - 3
= - 7 + (5 - 1)4 = - 7 + (4 × 4) = - 7 + 16 = 9
= - 7 + (9 - 1)4 = - 7 + (8 × 4) = - 7 + 32 = 25
