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lesya692 [45]
3 years ago
8

Point M is the midpoint of segment AB. If AM = 2x + 5 and MB = 5x – 22, find the value of x.

Mathematics
2 answers:
Grace [21]3 years ago
8 0
Having point M as midpoint of segment AB, it only shows that the length of AM is equal to the length MB. Hence, AM = MB

AM = MB
2x + 5 = 5x - 22      ⇒ substitute the values
5 + 22 = 5x - 2x      ⇒ combine like terms
27 = 3x                   ⇒ simplify and divide both sides by 3 to get the value of x
x = 9                       ⇒ Answer
      
Lera25 [3.4K]3 years ago
7 0

Answer:

The answer is x=9

Step-by-step explanation:

2x+5=5x-22

-3x=-27

x=9

Hence, the answer is x=9

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The face of a clock has a circumference of 63 in. What is the area of the face of the clock?
ryzh [129]

Answer:

The area of the clock = 315.41\ inch^{2}

Step-by-step explanation:

We have been given the face of the clock that is 63\ in

So that is also the circumference of the clock.

Since the clock is circular in shape.

So 2\pi(r)=63\ inch

From here we will calculate the value of radius (r) of the clock that is circular in shape.

Then 2\pi(r)=63\ inch =\frac{63}{2\pi} = 10.02\ in

Now to find the area of the clock we will put this value of (r) in the equation of area of the circle.

Now \pi (r)^{2}=\pi(10.02)^{2}=315.41\ in^{2}

So the area of the face of the clock =315.41\ in^{2}

6 0
3 years ago
Given a bag of 60 Skittles with 30 green, 12 yellow, and 18 red Skittles, how many are red or yellow?
zmey [24]

Answer: If its asking percentage then 50%

but i dont understand the question very well


5 0
3 years ago
Faith needs 4 cups of fruit for a smoothie.
Snezhnost [94]

Answer:

We have two fruits so we have following  choices to make exactly 4 cups of fruits:


Blueberry                  Orange

0                                   4    

1                                    3

2                                    2

3                                     1

4                                     0

In case 1: when she is using 4 cup of oranges so no need of blueberry.

In case 2: when she is taking 3 cup of oranges she will use 1 cup of blueberry to get exactly 4 cups of fruits.

case 3: when she is taking 2 cup of oranges she will use 2 cup of blueberries to get exactly 4 cups of fruits.

case 4: when she is taking 1 cup of orange she will use 3 cup of blueberries to get exactly 4 cups of fruits.

case 5: when she is taking 0 cup of orange she will use 4 cup of blueberries to get exactly 4 cups of fruits.

3 0
3 years ago
3. What is the inverse of division?
aksik [14]
The inverse of division is multiplication.
5 0
3 years ago
Which two values of x are roots of the polynomial below 5x^2-5x+1
damaskus [11]
To find roots of a polynomial, you have to find numbers that when you multiply will equal 5 (because 5*1) and add to -5. since the only factors of 5 are 1 & 5, they do not equal -5. you will have to use the quadratic formula to find the roots. if you want decimals, they are 0.723607 & 0.276393

3 0
3 years ago
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