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2 years ago

Simplify the expression: (9x+10) - (3x+7)

Mathematics

2 answers:

Nadya [2.5K]2 years ago

5 0

Answer: The answer to this problem would be (6x+3).

Step-by-step explanation:

All you have to do is take 9x+10 and subtract like terms. So you do 9x-3x and 10-7. You put it together and you will get (6x+3).

natali 33 [55]2 years ago

4 0

Answer:

6x+3

Step-by-step explanation:

You first must distribute the negative sign to 3x+7, giving you -3x+7. Then you combine like terms (the 9x+(-3x) and 10+(-7)). This would give you 6x+3

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In triangle abc shown below side ab is 6 and side ac is 4

kaheart [24]

Question is Incomplete, Complete question is given below:

In Triangle ABC shown below, side AB is 6 and side AC is 4.

Which statement is needed to prove that segment DE is parallel to segment BC and half its length?

Answer

Segment AD is 3 and segment AE is 2.

Segment AD is 3 and segment AE is 4.

Segment AD is 12 and segment AE is 4.

Segment AD is 12 and segment AE is 8.

Answer:

Segment AD is 3 and segment AE is 2.

Step-by-step explanation:

Given:

side AB = 6

side AC = 4

Now we need to prove that segment DE is parallel to segment BC and half its length.

Solution:

Now AD + DB = AB also AE + EC = AC

DB = AB - AD also EC = AC - AE

Now we take first option Segment AD is 3 and segment AE is 2.

Substituting we get;

DB = 6-3 = 3 also EC = 4-2 =2

From above we can say that;

AD = DB and EC = AE

So we can say that segment DE bisects Segment AB and AC equally.

Hence From Midpoint theorem which states that;

"The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side."

Hence Proved.

7 0

3 years ago

Consider a bell-shaped symmetric distribution with mean of 16 and standard deviation of 1.5. Approximately what percentage of da

fredd [130]

Answer: 95.45 %

Step-by-step explanation:

Given : The distribution is bell shaped , then the distribution must be normal distribution.

Mean : $\mu=\ 16$

Standard deviation : $\sigma= 1.5$

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 13

$z=\dfrac{13-16}{1.5}=-2$

For x = 19

$z=\dfrac{19-16}{1.5}=2$

The p-value = $P(-2$

$0.9772498-0.0227501=0.9544997\approx0.9545$

In percent, $0.9545\times100=95.45\%$

Hence, the percentage of data lie between 13 and 19 = 95.45 %

6 0

2 years ago

4 1/4 + 3 2/6 solved <br>

Fiesta28 [93]

7 10/12 is your answer

4 0

3 years ago

Read 2 more answers

A microwave is placed on top of two boxes. One box is 2 feet 4 inches tall, the other box is 2 feet 11 inches tall, and the micr

Nikolay [14]

Answer:

9 feet 1 inch

Step-by-step explanation:

So, to get the answer we want to add the heights of the boxes.

2 feet, 4 inches + 2 feet 11 inches = 4 feet 15 inches. 4 feet 15 inches + 3 feet 10 inches = 7 feet and 25 inches. 25 inches is equal to 2 feet and 1 inch, so we end up with 9 feet and 1 inch as our answer.

3 0

3 years ago

The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 11.711.7 fluid

dexar [7]

Answer: 0.1499

Step-by-step explanation:

Given : The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with mean $\mu=11.7\text{ fluid ounces}$