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Gemiola [76]
2 years ago
13

Given parallelogram ABCD, find x and m< B

Mathematics
2 answers:
krek1111 [17]2 years ago
6 0

Answer:

x = 38°

∠B = ∠D = 78°

Step-by-step explanation:

3x - 12° + 2x + 2° = 180°

3x + 2x = 180° + 12° - 2°

5x = 190°|:5

x = 38°

∠B = ∠D = 2x + 2° = 78°

Elena-2011 [213]2 years ago
3 0

Answer:

x = 38, ∠ B = 78°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, then

3x - 12 + 2x + 2 = 180

5x - 10 = 180 ( add 10 to both sides )

5x = 190 ( divide both sides by 5 )

x = 38

Then

∠ D = 2x + 2 = 2(38) + 2 = 76 + 2 = 78°

The opposite angles in a parallelogram are congruent , so

∠ B = ∠ D = 78°

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The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are
melamori03 [73]

Answer:

66 coolers

Step-by-step explanation:

C = 0.005x² - 0.3x + 17

When C = $19

19 = 0.005x² - 0.3x + 17

19 - 17 = 0.005x² - 0.3x

2 = 0.005x² - 0.3x

0.005x² - 0.3x - 2 = 0

x = -b ± √b² - 4ac / 2a

= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005

= 0.3 ± √ 0.09 - (-0.04) / 0.01

= 0.3 ± √ 0.09 + 0.04 / 0.01

= 0.3 ± √ 0.13 / 0.01

= 0.3/0.01 ± √0.13/0.01

= 30 ± 0.36/0.01

x = 30 ± 36

x = 30 + 36 or 30 - 36

x = 66 or -6

Number of coolers can not be negative

Therefore, number of coolers produced when the cost is $19

is 66 coolers

3 0
3 years ago
4y+2y+10=50 <br>show your work<br>​
denis23 [38]

Answer:

y = 20/3

Step-by-step explanation:

4y + 2y + 10 = 50

Combine like terms on the left side.

6y + 10 = 50

Subtract 10 from both sides.

6y = 40

Divide both sides by 6.

y = 40/6

Reduce the fraction by dividing the numerator and denominator by 2.

y = 20/3

6 0
3 years ago
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yuradex [85]
I’m not sure about the rest but the slope is 4 and the y intercept is 3.
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3 years ago
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MrRa [10]

Answer:

0.46875 tons

Step-by-step explanation:

to find ounces to tons, you divide the mass by 32000

15000/32000=0.46875

I hope this helps!

5 0
3 years ago
Evaluate the expression when r = 8.2 and s = –3.7.
kiruha [24]
When you plug in the numbers for the integers, you get
8.2-2(-3.7)
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If you then add 8.2, you get 15.6. So the answer is D.
Hope it Helps!  :)
8 0
3 years ago
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