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2 years ago

Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.

Mathematics

1 answer:

Troyanec [42]2 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

If A, B and C lies on a straight line in order, then;

AB+BC = AC

x+12+2x-4 = 26

x+2x+12-4 =26

3x+8 = 26

3x = 26-8

3x = 18

x = 18/3

x = 6

Hence the value of x is 6

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2 3/4 ÷ 1 7/8=? pls help

Anna11 [10]

Answer:

77/32 or 2 13/32

Step-by-step explanation:

First, convert the mixed numbers into improper fractions, 11/4*7/8

Next, you can just multiply the fractions for your answer!

Hope this helped<3

7 0

2 years ago

How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

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2 years ago

There are four classes of third graders at Woodbury Elementary School. One class has 24 students, one has 26 students, another h

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The answer to this problem is B. 24 + 26 + 31 + 22.

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3 years ago

Read 2 more answers

Write two subtraction equations to show how to find 15-7

choli [55]

You could make 15 lines and cross out 7 and see what you end up with or make a rectangle and make 14 lines so there are 15 lines/boxes then shade 7 and see how many are not shaded...... the answer is 8

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2 years ago

A hunter is practicing his aim using a practice target. He takes 5 shots. All 5 shots hit the target, but they do not hit or sur

IRINA_888 [86]

Answer:

Step-by-step explanation:

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3 years ago