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Mamont248 [21]
1 year ago
11

find the value of x show your work in the diagram below C is the midpoint of segment a b, a c equals 5x + 2 + CB equals 3x + 12

find the value of x

Mathematics
1 answer:
Dmitrij [34]1 year ago
8 0

Answer:

Initial equation: 5x + 2 = 3x + 12

x = 5

Step-by-step explanation:

Point C is the midpoint between A and B.

This means that:

AC = CB

We have that:

AC = 5x + 2

CB = 3x + 12

Since AC = CB, the initial equation is:

5x + 2 = 3x + 12

Now we can solve

5x + 2 = 3x + 12

5x - 3x = 12 - 2

2x = 10

x = 10/2

x = 5

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3 years ago
Solve an inequality 2x-3‹25
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3 years ago
Justine charges $25 to wash a dog. She washed 5 dogs on Saturday and then some more on Sunday. She made $325 for the weekend. Ho
Marrrta [24]

Answer

• A. Equation: 25(5 + x) = 325

,

• B. Answer: 8 dogs

Explanation

Given

• Charge to wash a dog: $25.

• She washed 5 dogs on Saturday and then some more on Sunday.

• She made $325 for the weekend.

Procedure

She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).

Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is:

25(5+x)=325

Then, we have to solve for x to know how many dogs did she wash on Sunday.

0. Multiplying the parenthesis

125+25x=325

<em>2. Subtracting 125 from both sides of the equation</em>

125-125+25x=325-12525x=200

<em>3. Dividing both sides of the equation against 25</em>

\frac{25x}{25}=\frac{200}{25}x=8

8 0
1 year ago
Simplify: <br> 3(n-2) <br><br> whats the answer?
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Answer: 3n-6

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Please answer this correctly
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Answer:

SA = 1,176 ft².

Step-by-step explanation:

To find the surface area of the triangular prism, we can solve for the rectangular base, both triangular faces, and lateral sides separately.

For the rectangular base: (Use formula l×w)

20 × 18 = 360 ft²

For the triangular faces: (Use formula 1/2(b·h)

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Since there are two faces, we need to double the amount.

108 × 2 = 216 ft².

Finally, solve for the lateral sides:

20 × 15 = 300 ft².

There are two sides, so:

300 × 2 = 600 ft².

Add up all of these areas:

600 + 216 + 360 = 1,176 ft²

5 0
3 years ago
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