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Mama L [17]
3 years ago
13

What is x increased by 10 divided by 4 as an expression?

Mathematics
1 answer:
Korolek [52]3 years ago
5 0

Answer:

\displaystyle \frac{x+10}{4}

Step-by-step explanation:

We want to write an expression for the phrase: "<em>x</em> increased by 10 divided by 4."

If <em>x</em> is being increased by 10, the expression is:

x+10

And if it is then divided by 4, we can place the entire expression over four. Hence:

\displaystyle \frac{x+10}{4}

Our expression is:

\displaystyle \frac{x+10}{4}

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Given: D is the midpoint of AB; E is the midpoint of AC.
Thepotemich [5.8K]

Answer:

The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel

Step-by-step explanation:

To prove that DE is parallel to BC, we have;

The slope, m of the lines DE and BC are found from the following equation;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where;

(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;

Slope, \, m =\dfrac{c - c}{a + b-b} = 0

Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;

Slope, \, m =\dfrac{0 - 0}{2a-0} = 0

Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.

5 0
3 years ago
Read 2 more answers
Describe how to compare the two decimals 0.6 and 0.8
Dovator [93]

Answer:

they are 0.2 apart from each other and can easily be shown on a number line

Step-by-step explanation:

8 0
3 years ago
What is a real life example of trigonometric ratios
Brut [27]

Answer:

Trigonometry can be used to measure the height of a building or mountains

Step-by-step explanation:

if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building. Similarly, if you have the value of one side and the angle of depression from the top of the building you can find and another side in the triangle, all you need to know is one side and angle of the triangle.

3 0
3 years ago
If 16+4x is 10 more than 14, what is the value of 8x?
sattari [20]
16 + 4x = 10 + 14

16 + 4x = 24.

4x = 24 - 16

4x = 8

x = 8 ÷ 4

x = 2

8x = 2 × 8

8x = 16

Final answer = 16.
3 0
3 years ago
Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the
igor_vitrenko [27]

Answer:

0.75

Step-by-step explanation:

The table is not well presented (See Attachment)

There are at least two approaches to this question

Method 1:  

Steps

1. Calculate the mean of reported heights

Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10

Mean of reported heights = 655/10

Mean of reported heights = 65.5

2. Calculate the mean of measured heights

Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10

Mean of measured heights = 647.5/10

Mean of measured heights = 64.75

3. Get their difference

Difference = Mean of reported heights - Mean of measured heights

Difference = 65.5 - 64.75

Difference = 0,75

Method 2: Calculate the mean of their difference

Mean of difference = Sum of difference / Number of observations

Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10

Mean of difference = 7.5/10

Mean of difference = 0.75

Note that in both cases, the result is 0,75.

Hence, the reported heights at the school is 0.75 greater than the actual measured height

3 0
3 years ago
Read 2 more answers
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