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3 years ago

Find the value of x in the following parallelogram: 2x х х 2x

Mathematics

2 answers:

aleksley [76]3 years ago

5 0

Answer:

x+2x+x+2x=360( sum of interior angles of a parallelogram)

6x=360

x=360÷6

x=60

Softa [21]3 years ago

5 0

Answer:

60°

Step-by-step explanation:

The sum of the angles in any quadrilateral is 360°. In a parallelogram the sum of neighboring angles is 180°. Therefore:

2x + x = 180°

3x = 180°

x = 60°

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Simplify the expression below. 2x - 10 + 6x

PtichkaEL [24]

Answer:

8x - 10

Step-by-step explanation:

Combine like terms:

2x + 6x - 10

= 8x -10

4 0

3 years ago

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tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained

Artist 52 [7]

Answer:

5 hours must pass

Step-by-step explanation:

Graph the equations y = 2x + 100 and y = -6x + 140

Then find the x intercept of their intersection, in this case, that is 5

5 0

3 years ago

What are the solutions to the quadratic equation (5y +6) 2= 24?

boyakko [2]

Answer:

$y=-2.18,-0.22$

Step-by-step explanation:

We have been given the equation

$(5y+6)^2=24$

Take square root both sides. When ever we take square root, we include plus minus sign

$\sqrt{(5y+6)^2}=\pm\sqrt{24}\\\\5y+6=\pm2\sqrt6$

Now, subtract 6 to both sides of the equation

$5y=-6\pm2\sqrt6$

Divide both sides by 5

$y=\frac{1}{5}(-6\pm2\sqrt6)$

$y=\frac{1}{5}(-6+2\sqrt6),y=\frac{1}{5}(-6-2\sqrt6)$

In decimal we have

$y=-2.18,-0.22$

3 0

3 years ago

Check<br> What is the slope of the line on the graph?

katen-ka-za [31]

Slope: the tilt. it equals rise over run. so 1/2

7 0

3 years ago

Stefan sells Jin a bicycle for $176 and a helmet for $16. The total cost for Jin is 160% of what Stefan spent originally to b

Elis [28]

Answer:

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.

Step-by-step explanation:

Given that:

Selling price of bicycle = $176

Selling price of helmet = $16

Total price = 176+16 = $192

This is 160% of what Stefan paid originally.

Let,

x be the original amount paid by Stefan.

160% of x = 192

$\frac{160}{100}x=192\\1.6x=192$

Dividing both sides by 1.6

$\frac{1.6x}{1.6}=\frac{192}{1.6}\\x=120$

Original amount paid by Stefan = $120

Profit = 192 - 120 = $72

Hence

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.

3 0

3 years ago