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Schach [20]
3 years ago
10

Simplify each expression by combining like terms. 1) 3y+4x-y+2x 2) 3y+2+3x-y+5x

Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0

Answer:

Step-by-step explanation:

1) 2y + 6x

2) 2y + 8x +2

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Angle sum theory find Y
kompoz [17]
<h3>Answer:</h3>

25

<h3>Step-by-step explanation:</h3>

The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.

Finding X

To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.

  • Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.

Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.

  • 115 + x = 180

By subtracting 115 from both sides we know that x = 65.

Solving for Y

Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.

  • Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.

Lastly, we can create a formula to find y with the angle sum theory.

  • 90 + 65 + y = 180

Combine like terms

  • 155 + y = 180

Subtract 155 from both sides

  • y = 25

This means that the angle y is 25 degrees.

4 0
2 years ago
The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be 4\,in\,:\,5\,ft and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (r), measured in inches per feet, is equivalent to the following rational number:

r = \frac{4\,in}{5\,ft}

We can convert each length by dividing it by scale factor. That is:

Length

l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }

l' = 20\,ft

Width

w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }

w' = 31.25\,ft

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

8 0
3 years ago
My lil sis-<br> pls answer part a and b
Yakvenalex [24]

Answer:

part A you have correct.

is there a 'D" for part B? A through C answers don't seem correct.

after a response from the poster, "D" was the correct answer.

re-posting it because some random person deleted it.

3 0
3 years ago
The sum of 45% of a number and 55% of the same number is 200. what is the number?
Ymorist [56]

.45x+.55x=200
Combine like terms
1x=200
So x is 100

Or you can do 45%+55%=100%
And 100% of 200 is 200
8 0
3 years ago
What is the minimum number of degrees in order for the pentagon to map onto itself
amid [387]

Answer:

We can divide the pentagon (5 sides) into five inscribed triangles with central vertex angles of 72 degrees. 360 degrees ÷ 5 = 72 degrees....complete rotation is 360 degrees So each rotation of the pentagon of 72 degrees will be identical

Step-by-step explanation:

hope it helps :))

3 0
3 years ago
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