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Virty [35]
3 years ago
12

What is the value of x? Justify each step.

Mathematics
1 answer:
coldgirl [10]3 years ago
7 0

a) Addition of line segments

b) Substitution rule

c)  Simplification by addition of like terms

d) Collecting lie terms

e) Dividing both sides by 8

AB   =  2x

BC  =  6x  +  8

AC   =  32

AB  +  BC   =  AC  (Addition rule)

Addition of the component segments of a line

2x  +  6x  +  8   =  32  (Substitution rule)

Substituting for AB, BC, and AC in the equation AB + BC  =  AC

8x  +  8    =   32    (Simplification)

Simplifying 2x  +  6x  +  8   =  32 by adding like terms

8x  =  24  (Collecting like terms)

8x =  32 - 8

8x  =  24

x  =  3  (Divide both sides by 8)

8x / 8  =  24/8

x   =  3

Learn more here: brainly.com/question/19253676

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Please will give brainliest and thanks
Paraphin [41]

Answer:

Kahn academy works great with this stuff

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I’m confused :( I will mark as Brainliest and give you points
Ludmilka [50]

Answer:

123.5 square inches

Step-by-step explanation:

Given: To find the area of a rectangle, you have to multiply base times height.

To find the area of a triangle, you have to do base times height devided by 2.

Finding the area: Let's break up this shape into polygons. At the bottom there is a rectangle. We know that to find the area of the rectangle you have to do base times height. 13in•7in will give you <u>91in</u> square for the rectangle.

Now for the triangle. If you can see, if you break the triangle in half, there are 2 right triangles. Let's look at the right one for now. Since we know that to find the area of a triangle you have to do base times height divided by 2,  you do 5in•6.5in=32.5in. 32.5in divided by 2 is <u>16.25in </u>square which is the area of one triangle. You might be wondering why i did 5•6.5, and that's because at the bottom of the rectangle you can see it's 13in, and 13in÷2=6.5in.

We already found the area of the rectangle and one triangle. The other triangle is equal to it so we can just do 16.25+16.25=<u>32.5in</u> square for both of the triangles.

Now we add it all up: 32.5+91=123.5 square inches

8 0
3 years ago
Find the value of 5 ∙ 23.
GREYUIT [131]
5 * 23 is equal to 115. =)
4 0
3 years ago
Got half not sure of the rest through​
bezimeni [28]

Answer:

-1/12

Step-by-step explanation:

make the denominators congruent

8/12 and 9/12

then subtract

-1/12

6 0
3 years ago
$10,000 is invested at two different rates. $2,500 is invested at 4%, and the rest is invested at 5%. How much interest is earne
worty [1.4K]
I'm assuming this is a yearly interest.

2500*.04=100
7500*.05=375

so that would be $475 earned from interest
3 0
4 years ago
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