Answer:
x = 58
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
90 = 32+x
Subtract 32 from each side
90-32 = x
58 =x
Answer:
If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day
will be
.
Step-by-step explanation:
From the question, it is clear that
- If ‘A’ can finish a work in ‘n’ days, then
- we have to determine the part of work finished in 1 day.
So
let '
' be the number of days
takes to complete the whole work
Let the whole job be denoted as '
'
Thus, the part of work finished in 1 day will be:

Therefore, If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day will be
.
Keywords: work, word problem
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Answer:
D. (-7)
Step-by-step explanation:
3(2 + f) = (-15)
(3 . 2) + (3 . f) = (-15)
6 + 3f = (-15)
3f = (-15) - 6
3f = (-21)
f = (-21)/3
f = (-7)
Applying the segment addition theorem, the length of line segment VW is: 2 units.
<h3>What is the
Segment Addition Theorem?</h3>
The segment addition theorem states that the sum of the lengths of two segments that make up a larger line segment equals the measure of the larger line segment, if the point on the line segments are collinear.
UV = 8x
VW = x+1
UW = 10
UV + VW = UW (segment addition theorem)
Substitute the values
8x + (x + 1) = 10
Open bracket
8x + x + 1 = 10
Combine like terms
9x + 1 = 10
Subtract 1 from both sides
9x + 1 - 1 = 10 - 1
9x = 9
Divide both sides by 9
9x/9 = 9/9
x = 1
VW = 8x + (x + 1)
Plug in the value of x
VW = x + 1
VW = 1 + 1
VW = 2 units.
Therefore, applying the segment addition theorem, the length of line segment VW is: 2 units.
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Answer:
Step-by-step explanation:
7630 x .023 = 175.49
175.49 + 28 = $203.49