What is the area of the trapezoid

If 18 is added to a certain number and the sum is divided by 6, the result is 1 more than 14 of the original number. Find the or

Katyanochek1 [597]

The original number is 72

(18+x)/6 = 1+14
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15
- 3 = -3 (Subtract 3 From Both Sides)
1/6x = 12
(1/6x)*6 = 12 * 6 (Multiply Both Sides By 6)
x = 72

5 0

3 years ago

Which number belongs to the solution set of the equation below? x - 7 = 35 A. 22 B. 28 C. 42 D. 41

TiliK225 [7]

Hey there!

To find a solution that would satisfy the value of x, the first thing you must do is to first solve for x. To solve x-7=35, you must add 7 to both sides to isolate x. This should result in x=42.

When you look at the answer choices given, notice that choice C is the solution for x, 42.

Therefore, your answer would be C. 42.

To check if this is correct, you can plug 42 back into the equation x-7=35 to see if you get a true statement:
42-7=35
35=35

Hope this helps!

6 0

3 years ago

Find the IQR (interquartile range). 19, 21, 18, 17, 18, 22,46

yanalaym [24]

Answer:

4.

Step-by-step explanation:

Step 1: Formula.

$IQR=Q3-Q1$

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Step 2: Explain/define.

The interquartile range is the difference between quartile 3 and quartile 1.
Quartile 1 is the median of the upper half of a data set.
Quartile 3 is the median of the lower half of a data set.
The median is the 'middle value.'

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Step 3: Order/arrange.

In order to find the median, you must first put the numbers in numerical order.

19, 21, 18, 17, 18, 22, 46

↓

17, 18, 18, 19, 21, 22, 46

The lower half of the data set, not including the median of the whole data set, is 17, 18, and 18.

The upper half of the data set is 21, 22, and 46.

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Step 4: Solve.

17, 18, 18

21, 22, 36

Next, we find the medians of both sets.

The median of the lower half is 18 (Q1).

The median of the upper half is 22 (Q3).

Lastly, we subtract Q3 from Q1.

$22-18=4.$

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Step 5: Conclude.

I, therefore, believe the interquartile range of this data set is 4.

3 0

2 years ago

write an equation of a line perpendicular to the givin equation using the given point givne (8,2); x = -4

MakcuM [25]

y=-x+10 is the equation of a line perpendicular to the givin equation using the given point given (8,2) and x = -4

<h3>What is Slope of Line?</h3>

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

In the perpendicular lines the product of slopes will be -1

m1m2=-1

y=x+4 is the given line, it has slope of 1, so the perpendicular line will have slope -1.

The line is passing through (8,2)

2=-1(8)+b

2=-8+b

2+8=b

10=b

Hence, y=-x+10 is the equation of a line perpendicular to the givin equation using the given point given (8,2) and x = -4

To learn more on slope of line click:

brainly.com/question/14511992

#SPJ1

4 0

1 year ago

Joe summarised this message

Ann [662]

Answer:

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4 0

3 years ago