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just olya [345]
3 years ago
7

85° 4x + 21° what do I am suppose

Mathematics
2 answers:
choli [55]3 years ago
5 0

Answer:

16degrees

Step-by-step explanation:

As these angle are (vertically opposite angles)

So,85=4x+21,

85-21=4x

x=64/4

x=16degrees

ValentinkaMS [17]3 years ago
4 0

Answer:

x= 16

4x+21 = 85 degrees

Step-by-step explanation:

The angles shown are vertical angles and vertical angles are equal

85 = 4x+21

Subtract 21 from each side

85 -21 = 4x+21-21

64 = 4x

Divide by 4

64/4 = 4x/4

16 = x

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If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di
erica [24]

Hello!

The answer is:

Luke did a work of 308N.m or 308 Joules.

<h2>Why?</h2>

When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

Work=Force*distance*Cos(\alpha)

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

Force=22N\\Distance=14m

So, substituting the given information into the equation to calculate work, we have:

Work=Force*distance\\Work=22N*14m=308N.m

Hence, we have that Luke did a work of 308N.m or 308 Jouls.

Have a nice day!

3 0
4 years ago
Q#1 IF CORRECT ILLL BIVE U BRAINLIEST NEED FAST PLS
Orlov [11]

Answer:

The amount Chris started within his savings is $44. option C

Step-by-step explanation:

Amount Chris saved = $xAmount spent on video games = 1/2xAdditional amount earned = $10Total = $321/2x + 10 = 32subtract 10 from both sides1/2x = 32 - 101/2x = 22divide both sides by 1/2x = 22 ÷ 1/2x = 22 × 2/1x = $44Therefore, the amount Chris started within his savings is $44. option C

Hope this helped !!!!

8 0
2 years ago
Read 2 more answers
Are these rates equivalent, 96 words typed for 3 minutes; 160 words typed for 5 minutes
monitta
<h2>Greetings</h2>

Answer:

Yes, they are.

Step-by-step explanation:

<h3>1st rate)</h3>

Lets simplify both rates to the rate typer per minute.

(m is minutes)

3m = 96

Divide both sides by 3:

\frac{3m}{3} = \frac{96}{3}

m = 32

So the rate is 32 words per minute.

<h3>2nd rate</h3>

5m = 160

Divide both sides by 5:

\frac{5m}{5} = \frac{160}{5}

m = 32

<h3>So because the rates per minute are the same, they are equivalent.</h3>
<h2>Hope this helps!</h2>
3 0
3 years ago
5) Find the LCM of 12 and 32​
katrin [286]

Answer:

96

Step-by-step explanation:

Find the prime factorization of 12

12 = 2 × 2 × 3

Find the prime factorization of 32

32 = 2 × 2 × 2 × 2 × 2

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 2 × 2 × 3

LCM = 96

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5 0
3 years ago
Read 2 more answers
A boy bought an article for £9. He spent £4
Marina86 [1]

Answer:

Profit % = 39%

Step-by-step explanation:

Cost price of the article = 9

Price for repairing = 4

Therefore, Total cost of the article = 9 + 4 = 13

Selling price  of the article = 18

Profit = 18 - 13 = 5

Hence,

          Profit \% = \frac{Profit}{Cost \ price} \times 100\\\\

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Profit percent (to the nearest %) = 39%

4 0
3 years ago
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