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WARRIOR [948]
2 years ago
9

If M is the midpoint of

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
6 0

Answer:

A. 10

Step-by-step explanation:

Based on the midsegment theorem, thus:

2x + 7 = ½(7x - 16)

Multiply both sides by 2

2(2x + 7) = 7x - 16

4x + 14 = 7x - 16

Combine like terms

4x - 7x = -14 - 16

-3x = -30

Divide both sides by -3

x = 10

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Mrs. Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry.
emmasim [6.3K]

Answer:

1) The fraction of yogurt cups that are strawberry is 18/30. (True)

2) There are a total of 60 strawberry yogurt cups. (False)

3) 60% of the yogurt cups are strawberry. (True)

4) 30% of the yogurt cups are NOT strawberry. (False)

Step-by-step explanation

Total number of yogurt cups are = 30

for every 10, 6 are strawberry

thats is for the whole 30 cups total number of strawberries are = 18

1) The fraction of yogurt cups that are strawberry,

that is the fraction of the total number of strawberries over the total number of cups which is 18/30

2) There are a total of 60 strawberry yogurt cups,

the total number of yogurt cups is 30 while that of strawberry is 18

3) 60% of the yogurt cups are strawberry,

which is 18/30 * 100% = 60%

4) 30% of the yogurt cups are NOT strawberry,

percentage of the remaining cups will be 100% - 60% = 40%

8 0
3 years ago
What is the awnser [(12−5)⋅12]÷6
prohojiy [21]
We Need to First Do 12 - 5.
12 - 5 = 7.
[7 * 12] <span>÷ 6
12 * 7 = 84.
84 </span><span>÷ 6 
This Is Our Answer:
14.</span>
6 0
3 years ago
Read 2 more answers
jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. this time it is all nickels
valentinak56 [21]

Answer:

20.6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A sector of a circle has a central angle of 100 degrees. If the area of the sector is 50pi, what is the radius of the circle
MrMuchimi

The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

Learn more about the area of a sector at

brainly.com/question/22972014

#SPJ4

8 0
11 months ago
frank has two same size rectangles divided into the same number of equal parts. one rectangle has 3/4 of the parts shaded, and t
lidiya [134]
This question basically asks for the LCM of 3 and 5, which is 3 x 5 =15
This is the answer: 15
Check : The first rectangle had 1/3 shaded; ( one in every three parts)
So for 15 parts  altogether, 5 would be shaded ( 1/3 = 5/15)
The second rectangle had 2/5 shaded ( two for every five parts)
So for 15 parts altogether, 6 would be shaded (2/5 = 6/15)
6 0
3 years ago
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