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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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Can someone explain this step by step? I'm very confused on how to solve it. Thanks!
Rashid [163]

Answer:

x = -8

Step-by-step explanation:

I will show each step algebraically. If you need further explanation, feel free to ask questions :)

\frac{x}{2} +7=3\\                     Rewrite

\frac{x}{2} =-4                        Subtract 7

x =-8                        Multiply by reciprocal (2/1)

I hope this helps!

3 0
2 years ago
Read 2 more answers
A simple random sample of size n equals 200 individuals who are currently employed is asked if they work at home at least once p
____ [38]

Answer: 99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

Step-by-step explanation:

<u>step 1:-</u>

Given sample  size n=200

of the 200 employed individuals surveyed 41 responded that they did work at home at least once per week

 Population proportion of employed individuals who work at home at least once per week  P = \frac{x}{n} =\frac{41}{200} =0.205

Q=1-P= 1-0.205 = 0.705

<u>step 2:-</u>

Now  \sqrt{\frac{P Q}{n} } =\sqrt{\frac{(0.205)(0.705)}{200} }

=0.0015

<u>step 3:-</u>

<u>Confidence intervals</u>

<u>using formula</u>

(P  -  Z_∝} \sqrt{\frac{P Q}{n},} (P  +  Z_∝} \sqrt{\frac{P Q}{n},

(0.205-2.58(0.0015),0.205+2.58(0.0015)\\0.20113,0.20887

=0.20113,0.20887[/tex]

<u>conclusion:</u>-

99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

4 0
3 years ago
If Ann travels 50 meters North, 200 meters East and 150 meters South, what is her total distance travelled ? A. 150 meters B.400
olga2289 [7]

Answer:

400 meters

Step-by-step explanation:

50 + 200 + 150 = 400

3 0
3 years ago
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1.On Sunday morning, Mrs. Turner made 2 gallons of juice. How many cups of juice did she make?2. Later that night, her family dr
kap26 [50]

Answer:

1. 16 cups

2. 8 pints

Step-by-step explanation:

In this question, we are asked to calculate the amount of cups of juice made from a certain gallon and the amount left in pints after some certain amount of the juice was consumed.

To solve this problem, we need to know the amount of cups present in a gallon of juice.

Mathematically, there are 16 cups present in a gallon. Now since she made two gallons, the amount of cups present is thus 16 * 2 = 32 cups of juice

2. 16 cups was consumed by the family. The amount of cups left is thus 32 - 16 = 16 cups of juice

We need our answer in pints however.

Mathematically, 1 pint is composed of 2 cups.

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4 0
3 years ago
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49 divided by ? makes the 49 a lower number?
ad-work [718]

Answer:

im not sure what you mean can you elaborate

Step-by-step explanation:

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