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Pavel [41]
3 years ago
15

HOW DO YOU SOLVE THIS PROBLEM

Mathematics
1 answer:
Elenna [48]3 years ago
3 0

x = 100° (using definition of vertical angles)

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What is the solution to the system of linear equations?
nadya68 [22]

Answer:

(3, -1)

x is 3

y is -1

Step-by-step explanation:

Solving for x:

2x+y=5

<em>Subtract y from both sides</em>

2x= -y+5

<em>Subtract 5 from both sides</em>

2x-5= -y

<em>Multiply both sides by 4</em>

8x-20= -4y

5x+4y=11

<em>Subtract 4y from both sides</em>

5x= -4y+11

<em>Subtract 11 from both sides</em>

5x-11= -4y

<u>Combine equations:</u>

5x-11=8x-20

<em>Subtract 5x from both sides</em>

-11=3x-20

<em>Add 20 to both sides</em>

9=3x

3x=9

<em>Divide both sides by 3</em>

x=3

Solving for y:

2x+y=5

<em>Subtract y from both sides</em>

2x= -y+5

-y+5=2x

<em>Multiply both sides by 5</em>

-5y+25=10x

5x+4y=11

<em>Subtract 4y from both sides</em>

5x= -4y+11

-4y+11=5x

<em>Multiply both sides by 2</em>

-8y+22=10x

<u>Combine equations:</u>

-8y+22= -5y+25

<em>Add 8y to both sides</em>

22=3y+25

<em>Divide both sides by 25</em>

-3=3y

3y= -3

<em>Divide both sides by 3</em>

y= -1

3 0
3 years ago
The street sign shown is a regular hexagon with side lengths of (7.6x+10.4) centimeters. The perimeter of the sign is 737.28 cen
lutik1710 [3]

Answer:

Equation:

6(7.6x+10.4)=737.28

Solution:

x=14.8\ centimeters

Step-by-step explanation:

<u>Perimeter of a hexagon </u>

We are given the length of the side of a regular hexagon

l=7.6x+10.4\ centimeters

And we also know the perimeter of the hexagon is

P=737.28\ centimeters

The perimeter of a regular hexagon is 6 times its side, so

P=6l=6(7.6x+10.4)

The equation that will give the relation to solve for x is

6(7.6x+10.4)=737.28

Reducing

7.6x+10.4=122.88

7.6x=122.88-10.4=112.48

\displaystyle x=\frac{112.48}{7.6}

x=14.8\ centimeters

5 0
3 years ago
Simplify:<br><br> 34 - 4 × 8 + 3^2
Rzqust [24]
<span>34 - 4 * 8 + 3</span>² =
34 - 32 + 9 =
2 + 9 =
11
4 0
3 years ago
8x-10+75=15x-5 find the measure of the angle indicate
Lorico [155]

Step-by-step explanation:

15x -8x = 70

7x =70

x=10

answer is 10

4 0
4 years ago
Which object does not exhibit rotational symmetry?
Furkat [3]

The correct answer is image 3. Clock

Explanation:

An object exhibits rotational symmetry if it can be rotated and still look the same or coincide with the original object. For example, if you rotate a circle this will be symmetrical or will look the same at any rotation. According to this, the clock or third object does not exhibit rotational symmetry because due to details such as the clock hands or the bells if you rotate the image in any direction and at any degree, the image will not coincide with the original one, and therefore there is not symmetry when the object is rotated.

7 0
4 years ago
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