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Marat540 [252]
3 years ago
13

(1 point)

Mathematics
1 answer:
alina1380 [7]3 years ago
3 0
ANSWER—C.................................
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Find x and y in the figure​
Grace [21]

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20  =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25

5 0
3 years ago
Determine if true:<br> 8x2-63=-40
prohojiy [21]

Answer:

False

Step-by-step explanation:

8x2=16

16-63=-47

-47=-40

The numbers do not match.

Hence, the equation is false.

3 0
2 years ago
Read 2 more answers
Quantity of Jackets Price (in whole dollars) Total Revenue Marginal Revenue Total Cost Marginal Cost Profit (or loss) 0 20 1 20
KonstantinChe [14]

Answer:

18 dollars

Step-by-step explanation:

Marginal cost can be defined as the additional cost to produce every additional unit of a certain good. In mathematical terms;

Marginal cost = change in cost / change in quantity

For seven jackets, we have to find the difference between the cost of seven jackets and the cost of six jackets as follows

$101 - $83 = $18

Since the change in quantity is one, our marginal cost comes to $18.

3 0
3 years ago
A scale map says that 1 cm represents 10 km. What distance on the map (in centimeters) represents an actual distance of 360 km?
castortr0y [4]

Answer:

36 cm

Step-by-step explanation:

1cm = 10 km

360km/10km=36

1x36=36

8 0
3 years ago
Mia used 3 different base 10 blocks to model a 3 digit number what is the number?
spin [16.1K]

Answer:

I think its 300

but wouldn't that be like a 2 digit number like 30? scince they are only 10 blocks 10 + 10 + 10 (3×10= 30)

If you dont understand just coment.

5 0
3 years ago
Read 2 more answers
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