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labwork [276]
2 years ago
10

I need help on #10. I figured the other ones out

Mathematics
1 answer:
GalinKa [24]2 years ago
6 0
First, find the ratio between the two polygons. Lets take segment MG and TV since they are congruent. MG is 4, TV is 3. The ratio of MG to TV is 4:3. We can write it as 4/3. Since other arts are congruent as well, then NK is congruent to PR, and has a ratio of 4:3. This means that (3x-2)/(x+4) is equal to 4/3. Now solve for x
(3x-2)/(x+4)=4/3 
3(3x-2)=4(x+4)         ---cross multiply
9x-6=4x+16
9x-4x-6=4x-4x+16    ---subtract 4x from both sides
5x-6=16
5x-6+6=16+6            ---add 6 on both sides
5x=22
5x/5=22/5                 ---divide 5 on both sides
x=22/5

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How is multiplying and dividing numbers in scientific notation different from adding and subtracting numbers in scientific notat
lianna [129]

Answer:

  1. add or subtract
  2. multiply or divide

Hope this helps!

4 0
2 years ago
(GEOMETRY 100 POINTS)
Karo-lina-s [1.5K]

Answer:

1) They are similar

2) 45 ft

Step-by-step explanation:

1) similar because both triangles have congruent interior angles

2) 75/35 = AB/21

AB = 45 ft

5 0
2 years ago
Read 2 more answers
A high school spends approximately $9,000 hosting a football games (e.G. The hourly pay for staff, the electricity, water usage,
Yanka [14]

Answer:

<u>$4800</u>

Step-by-step explanation:

The expected net income is the probability when rains multiplied by net income (profit) summed with the probability of not raining with that days net income multiplied.

First, Chance of rain = 12% = 12/100 = 0.12

Profit/Loss = Income - Cost

Income is 5000

Cost = 9000

So,

Loss = 5000 - 9000 = 4000

Or, Net Income (profit) = - 4000

Now, Change of not raining = 100 - 12 = 88% = 88/100 = 0.88

Profit = Income - Cost

Income = 15,000

Cost = 9000

Net Income (profit) = 15000 - 9000 = 6000

So, we can write the expected net income as:

<u>Expected NI </u>= (0.12)(-4000) + (0.88)(6000) = <u>$4800</u>

8 0
2 years ago
According to a survey, 40% of adults watch a particular television show. Six adults are selected at random. The binomial distrib
iren [92.7K]

Answer:

The distribution is  

b) skewed.

The sum of the probabilities is:

1

Step-by-step explanation:

In a binomial distribution, p represents the probability of success. Success in the sense that the event of interest happens. In the model presented, the probability of success p is 0.4 since we are informed that 40% of adults watch a particular television show.

The next quantity of significance in a binomial model is the number of independent trials, n. In our case there are 6 independent trials since we are told that 6 adults were selected at random. If we let the random variable K denote the number of adults out of the 6 who watch the television show, then K is a binomial random variable with parameters;

n = 6 and p = 0.4

A binomial distribution is only symmetric when either p is 0.5 or n is large. In the presented scenario none of this conditions is met since p is 0.4 while n is just 6 which is relatively small. Thus we conclude that the distribution is not symmetric but rather skewed.

The sum of the probabilities is any discrete probability distribution such as the bernoulli, binomial, negative binomial, poisson, or the geometric distribution is always equal to 1. That's a rule of thumb.

7 0
3 years ago
Read 2 more answers
Order of operations what should be done first to evaluate 6+ (-5-7) ÷ 2 -8(3)
Maru [420]

Answer:-24

Step-by-step explanation:

6+(-5-7) ➗ 2-8(3)

6-12 ➗ 2-24

6-6-24

0-24=-24

3 0
3 years ago
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