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nydimaria [60]
3 years ago
15

Anyone know this please???

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0

Answer: Choice A

The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.

==============================================

Explanation:

Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.

It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.

Going back to the triangles, we know that the sides are congruent by the tickmarks

  • side MN = side RS (single tickmark)
  • side NP = side ST (double tickmarks)
  • side MP = side RT (triple tickmarks)

That takes care of the first part of choice A.

And similarly, the angle markers tell us which angles are congruent

  • angle M = angle R  (single arc)
  • angle N = angle S (90 degree angle marker)
  • angle P = angle T (double arc)

That concludes the second part of choice A.

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16) y=\frac{1}{4}x +5

17) y = -x - 4

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Step-by-step explanation:

With the two points you find the slope using \frac{y_{2}-y_{1}  }{x_{2}-x_{1} }

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Solve for : x 4(x+5)=3(x-2)-2(x+2)
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Hey there!!

In order to solve this equation, we will have to use the distributive property.

What is distributive property?

We will need to distribute one term to the other terms preset.

Example : 4 ( 3x - 1 )

sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1

( 4 × 3x ) + ( 4 × -1 )

12x + ( -4 )

= 12x - 4

This is after implementing the distributive property.

Now moving back onto the question

4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )

Let us first solve 4 ( x + 5 )

Distribute 4 to x and 5

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Now let's solve 3 ( x - 2 )

Distribute 3 to x and -2

( 3 × x ) + ( 3 × - 2 )

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Solve for -2 ( x + 2 )

Distribute -2 to x and 2

( -2 × x ) + ( -2 × 2 )

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Now, let's get everything back together

4x + 20 = 3x - 6 - 2x - 4

Combine all the like terms

4x + 20 = x - 10

Adding 10 on both sides

4x + 20 + 10 = x - 10 + 10

4x + 30 = x

Subtracting 4x on both sides

4x - 4x + 30 = x - 4x

30 = -3x

Dividing by -3 on both sides

30 / -3 = -3x / -3

- 10 = x

<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>

5 0
3 years ago
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