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Step2247 [10]
4 years ago
12

Find the values of x and y

Mathematics
1 answer:
Anna71 [15]4 years ago
5 0
Consecutive interior angles are supplementary (i.e. add up to 180 degrees).
2x - y + 60 = 180 and 2x + y + 40 = 180
2x - y = 180 - 60 = 120 and 2x + y = 180 - 40 = 140

2x - y = 120 . . . (1)
2x + y = 140 . . . (2)

(1) - (2) => -2y = -20 => y = -20/-2 = 10
From (1), 2x - 10 = 120 => 2x = 120 + 10 = 130 => x = 130/2 = 65

Therefore, x = 65 and y = 10.

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Find the co-ordinates of the point where the line y = 3x - 8 crosses the y-axis.​
lana66690 [7]
(0,-8)

Explanation: In y=mx + b, m represents the slope of the line and b represents the y intercept, since b is -8, it will cross the y-axis at (0,-8)
4 0
3 years ago
The accounting records of Blossom Company show the following data. Beginning inventory 3,090 units at $5 Purchases 7,930 units a
meriva

Answer:

The cost of goods sold is 65,850

Step-by-step explanation:

FIFO Perpetual chart is attached.

FIFO Perpetual chart shows purchases, sales and balance of  the period.

The cost of goods sold is:

3,090 units x $5=$15,450

6,300 units x $8=$50,400

Total=65,850

Download xlsx
6 0
3 years ago
Solve this right now for a billion dollars
Tema [17]

Answer:

Step-by-step explanation:

Simplifying

2.1x + -5.7 = 3.9(4.3 + -1.8x)

Reorder the terms:

-5.7 + 2.1x = 3.9(4.3 + -1.8x)

-5.7 + 2.1x = (4.3 * 3.9 + -1.8x * 3.9)

-5.7 + 2.1x = (16.77 + -7.02x)

Solving

-5.7 + 2.1x = 16.77 + -7.02x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7.02x' to each side of the equation.

-5.7 + 2.1x + 7.02x = 16.77 + -7.02x + 7.02x

Combine like terms: 2.1x + 7.02x = 9.12x

-5.7 + 9.12x = 16.77 + -7.02x + 7.02x

Combine like terms: -7.02x + 7.02x = 0.00

-5.7 + 9.12x = 16.77 + 0.00

-5.7 + 9.12x = 16.77

Add '5.7' to each side of the equation.

-5.7 + 5.7 + 9.12x = 16.77 + 5.7

Combine like terms: -5.7 + 5.7 = 0.0

0.0 + 9.12x = 16.77 + 5.7

9.12x = 16.77 + 5.7

Combine like terms: 16.77 + 5.7 = 22.47

9.12x = 22.47

Divide each side by '9.12'.

x = 2.463815789

Simplifying

x = 2.463815789

5 0
3 years ago
Read 2 more answers
Lin's family has completed 60% of a trip. They have traveled 30 miles. How long is the whole trip?
tatiyna
This one’s easy if you know how to do the fractions of 5.

The whole trip is 50 miles because 60% of 50 is 30 miles.

3/5 = 0.6
3 0
3 years ago
Read 2 more answers
the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.
Mumz [18]

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $5 for going in.

She has 2 whole pounds.

1.25 x 2=2.5 or 2 \frac{1}{2}

Add $5 and $ 2.5 .

5+2.5 = 7.5

Now let's do $1.25 divided by 10.

$$1.25 divided by $10 =0.125

Now let's do 0.125 times 4

0.125 x 4 = 0.5

Now let's add 7.5 to 0.5

7.5+0.5=8

4 0
3 years ago
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