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Yuri [45]
3 years ago
9

Find the value of x if ∡A and ∡B are supplementary angles.

Mathematics
1 answer:
Elanso [62]3 years ago
3 0

Answer:

x = 30.5

Step-by-step explanation:

Two angles are supplementary when they add up to 180°.

So we know that:

C + D = 180

Supplanting we get:

(3x-44) + (5x-20) = 180

We add up the X's.

8x-44-20 = 180

8x-64 = 180

Then we send 64 to the other side adding:

8x = 180+64

8x = 180+64

8x = 244

And then the 8 goes dividing:

x = 244 : 8

x = 30.5

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Which number is greater and by how much: A decreased by 50% and then increased by 50% of the result
cricket20 [7]

Answer:

the original number is greater

Step-by-step explanation:

1. let 1x be your starting number

2. therefore, 0.5 * 1x = 0.5x ( amount after you decreased it by 50%)

3. then increase: 0.5x * 1.5 = 0.75x (amount after you increased it by 50%)

4. 0.75x < 1x (this means that the original number is larger than the one you decreased and then increased)

6 0
2 years ago
HELP NEEDED ASAP<br> image below
xxTIMURxx [149]

The amount of pounds of vegetable needed in fractions to make the stew exactly 10 pounds is 3 3  / 8 pounds

<h3>How to solve fractions?</h3>

The amount of pounds of vegetable needed to make the stew exactly 10 pounds can be calculated as follows:

potatoes weight = 2 7 / 8 pounds = 23 / 8 pounds

green beans weight = 1 1 / 4 = 5 / 4 pounds

pepper weight = 2 1 / 2 = 5 / 2 pounds

Therefore,

weight needed = 10 - 23 / 8 - 5 / 4 - 5 / 2

weight needed = 80 - 23 - 10 - 20 / 8

weight needed = 80 - 53 / 8

weight needed = 27 / 8

weight needed in fractions to make the stew exactly 10 pounds = 3 3  / 8 pounds

learn more on fractions here: brainly.com/question/27894307

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8 0
2 years ago
A golfer hits a golf ball with a club. The mass of the ball is 0.05 kg.
frosja888 [35]

Answer:

100 N

Step-by-step explanation:

f= 0.05*2000=100 N

8 0
3 years ago
the Wall Street Journal reported that automobile crashes cost United States $162 billion annually. The average cost per person f
Tanya [424]

Answer:

a) Margin of error = 166.311

b) sample size ≥ 62

Step-by-step explanation:

Given:

Average cost = $1599

Sample size = 50 persons

Standard deviation = $600

Confidence level is 95%

a) Margin of error = z\frac{\sigma}{\sqrt{n}}

Now for confidence level of 95% z-value = 1.96

Thus,

Margin of error = 1.96\frac{600}{\sqrt{50}}

or

Margin of error = 166.311

b) For Margin of error ≤ 150

z\frac{\sigma}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{150} ≤ √n

or

√n ≥ 7.84

or

n ≥ 61.4656

Therefore,

sample size ≥ 62

6 0
3 years ago
What is the factored form of 8x^2+18x+9?
forsale [732]
Factored form is (4x+3)(2x+3)
5 0
3 years ago
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