Answer:
<em> 50° </em>
Step-by-step explanation:
x° = 180° - (102° + 28°) =<em> 50°</em>
1)
evaluate when x = 6
5 + x
so when x = 6 then 5 + 6 = 11
answer
11
2)
2/6
in lowest term = 1/3 (divide top and bottom by 2)
3)
evaluate when x = 1
8 + x
so when x = 1 then 8 + 1 = 9
answer: 9
4)
14/48
lowest term = 7/24 (divide top and bottom by 2)
The area of the paper used to wrap the gift is 3 3/4 square feet
<h3>How to determine the total area?</h3>
The dimension is given as:
1 1/4 by 3
The area is the product of the dimensions.
So, we have
Area = 1 1/4 * 3
Express as an improper fraction
Area = 5/4 * 3
Evaluate
Area = 15/4
Rewrite as:
Area = 3 3/4
Hence, the area of the paper used to wrap the gift is 3 3/4 square feet
Read more about areas at:
brainly.com/question/24487155
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Answer:
20 is the answer
Step-by-step explanation:
2x0=0+20=20
Step-by-step explanation:
I'll do the first one as an example.
"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"
Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.
KP / PL = 3 / 2
Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.
KxPx / PxLx = 3 / 2
KyPy / PyLy = 3 / 2
First, let's use the x coordinates:
(x − (-5)) / (5 − x) = 3 / 2
(x + 5) / (5 − x) = 3 / 2
2 (x + 5) = 3 (5 − x)
2x + 10 = 15 − 3x
5x = 5
x = 1
And now with the y coordinates:
(y − (-4)) / (1 − y) = 3 / 2
(y + 4) / (1 − y) = 3 / 2
2 (y + 4) = 3 (1 − y)
2y + 8 = 3 − 3y
5y = -5
y = -1
So the point P is at (1,-1).
