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vichka [17]
3 years ago
15

Given that B is the midpoint of segment AC. BC = 14x -26 and AB = 6x +6, find the value of x.*

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0
∵B is the midpoint of segment AC
∴BC=AB
∴14x-26=6x+6
14x-6x=6+26
8x=32
x=4

Hope my answer helped u :)
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the length of a rectangle is 4in more than its width, and its perimeter is 34in find the length and width of the rectangle ​
Anna [14]

Let l and w be, respectively, the length and the width of the rectangle.

If the length is 4 inches more than the width, we have

l = w+4

Moreover, the perimeter of a rectangle is given by

2(l+w)

And we can substitute l=w+4 to get

2(w+4+w)=2(2w+4)=4w+8

We know that the perimeter is 34 inches:

4w+8=34 \iff 4w = 26 \iff w = \dfrac{26}{4}=6.5

Which implies

l=w+4=6.5+4=10.5

5 0
4 years ago
What is the sum of 15 and its additive inverse?
vazorg [7]

Answer:

O C. 0

Step-by-step explanation:

What is the sum of 15 and its additive inverse?

In Mathematics, the additive inverse of a number is defined as the number that when it is added to a specific number equals 0

From the above question, the additive of 15 = -15

Therefore, the sum of 15 and its additive inverse is calculated as:

15 + -15

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Therefore, Option C is the correct option

5 0
3 years ago
I need help with #10!
DiKsa [7]

Answer: 6 years old.

Step-by-step explanation:

For this exercise let "x" represents your present age.

According to the information provided in the exercise, you know that  In three years, Chad will be three times your present age.

Then, your age in three years can be represented with the following expression:

x+3

Knowing at that time Chad's age will be three times yours and you will be half as old as old as Chad, you can write the following equation to represent this situation:

x+3=\frac{3x}{2}

Therefore, the final step is to solve for "x" in order to find its value.

You get that this is:

2(x+3)=3x\\\\2x+6=3x\\\\6=3x-2x\\\\x=6

7 0
3 years ago
Ralph deposited $910 in an account that pays 5.2% simple interest for 3 1/2 years What is his ending balance
Svetradugi [14.3K]

Answer:

$165.62

Step-by-step explanation:

Multiply principle(910) by rate (0.052) and time (3.5)= interest(165.62)


6 0
4 years ago
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Jack ate lunch with a friend and he wanted to leave a 25% tip. If the food bill was $72, how much money should Jack leave as a t
Sav [38]

Answer:

well you need to find 25% of 72

\frac{72}{1}  \times  \frac{25}{100}

=$18

8 0
3 years ago
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