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Trava [24]
3 years ago
15

Point B is the midpoint of AC. What is AC? Show your equation, work, and final answer.

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

102

Step-by-step explanation:

We first want to solve for x:

7x-4=3x+32

4x=36

x=9

Now we have to put 9 into the AB equation to see what half of AC is.

7(9)-4=AB

AB=51

AB is half of AC so AC must be 102

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Questionner
geniusboy [140]

Step-by-step explanation:

Hey there!

Here,

Given, The midpoint of two points is (11,-5). And another coordinate is (19,-14).

We need to find tge missing coordinate.

Let (x,y) be another endpoint of line.

So, Using midpoint formula,

(x,y) =  (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )

Put all values.

(11, - 5) =  \frac{19 + x}{2} ,\frac{ - 14 + y}{2}

Since they are equal, equating with their corresponding elements we get,

11 =  \frac{19 + x}{2}

Simplify it.

22 = 19 + x

x = 22 - 19

Therefore the value of x is 3.

Again,

- 5 =  \frac{ - 14 + y}{2}

- 10 =  - 14 + y

y =  - 10 + 14

Therefore the value of y is 4.

So, the coordinates are (3,4).

<em><u>H</u></em><em><u>ope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em>.</em><em>.</em><em>.</em><em>.</em>

4 0
3 years ago
Mrs. McCabe takes her kids to the trampoline park. Admission and socks cost $10, plus 5 per hour to jump. What is the constant i
Aleks [24]

Answer:

The constant is $10

The variable x represents how many kids there are

Hope this Helps!!!

7 0
3 years ago
Kristine buys a 4-ounce bar of baking chocolate for 3.76. What is the unit price per ounce?
mart [117]

Sorry took so long doing homework at the same time! lol

ok so, all you have to do is divide 3.76 by 4 to get unit $:

3.76/4= $0.94

Hope this helps!! :)

3 0
3 years ago
Wait a min i searched it up and it '=' to decimals. What does this equal to in fractions?
joja [24]
Answer: 12/55
Because: I did the math
3 0
4 years ago
Read 2 more answers
A set of middle school student heights are normally distributed with a mean of 150150150 centimeters and a standard deviation of
adell [148]

Answer:

71.57% of student heights are lower than Darnell's height

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 150, \sigma = 20

Darnell has a height of 161.4 centimeters. What proportion of student heights are lower than Darnell's height?

This is the pvalue of Z when X = 161.4.

Z = \frac{X - \mu}{\sigma}

Z = \frac{161.4 - 150}{20}

Z = 0.57

Z = 0.57 has a pvalue of 0.7157

71.57% of student heights are lower than Darnell's height

5 0
3 years ago
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