The value of x must be 25.0. The correct option is the second option- 25.0
<h3>Solving Linear equations </h3>
From the question, we are to determine the value of x
From the given diagram, we can write that
m ∠SOR + m ∠UOR + m ∠TOU = 180° (<em>Sum of angles on a straight line</em>)
∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°
2x° + 8° + 3x° -14° + 3x° -14° = 180°
Collect like terms
2x° + 3x° + 3x° + 8° - 14° -14° = 180°
8x° -20° = 180°
8x° = 180° + 20°
8x° = 200°
x = 200/8
x = 25.0
Hence, the value of x must be 25.0. The correct option is the second option- 25.0
Learn more Solving linear equations here: brainly.com/question/1413277
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Answer:
(-17)/20
Step-by-step explanation:
Simplify the following:
-7/10 + 2/8 + 1/10 - 4/8
The gcd of 2 and 8 is 2, so 2/8 = (2×1)/(2×4) = 2/2×1/4 = 1/4:
-7/10 + 1/4 + 1/10 - 4/8
The gcd of -4 and 8 is 4, so (-4)/8 = (4 (-1))/(4×2) = 4/4×(-1)/2 = (-1)/2:
-7/10 + 1/4 + 1/10 + -1/2
Put -7/10 + 1/4 + 1/10 - 1/2 over the common denominator 20. -7/10 + 1/4 + 1/10 - 1/2 = (2 (-7))/20 + 5/20 + 2/20 - 10/20:
(2 (-7))/20 + 5/20 + 2/20 - 10/20
2 (-7) = -14:
(-14)/20 + 5/20 + 2/20 - 10/20
-14/20 + 5/20 + 2/20 - 10/20 = (-14 + 5 + 2 - 10)/20:
(-14 + 5 + 2 - 10)/20
-14 + 5 + 2 - 10 = (5 + 2) - (14 + 10):
((5 + 2) - (14 + 10))/20
5 + 2 = 7:
(7 - (14 + 10))/20
| 1 | 4
+ | 1 | 0
| 2 | 4:
(7 - 24)/20
7 - 24 = -(24 - 7):
(-(24 - 7))/20
| 1 | 14
| 2 | 4
- | | 7
| 1 | 7:
Answer: (-17)/20
The required x and y-intercept of the given line is -3 and -6/5 respectively.
<h3>What is the slope of the line?</h3>
The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The given equation of the line is 2x+5y=-6.
Transform into standard form of line .i.e is y = mx + c
5y = -2x - 6
y = -2x/5 - 6/5
here , m = -2/5 and c = -6/5
Since c = y-intercept of the line = -6/5
Now, put y = 0 in the equation of the line.
2x = -6
x = -3
Thus, the required x and y-intercept of the given line is -3 and -6/5 respectively.
Learn more about slopes here:
brainly.com/question/3605446
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What do i have to answer?
Answer:
Hello!! answer: a = 45
Step-by-step explanation:
This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!
