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2 years ago

Solve for x in the following trapezoid. Assume QP is a mid segment.

Mathematics

1 answer:

labwork [276]2 years ago

8 0

X = 2

Using the trapezoid mid segment theorem, knowing that the mid segment is parallel to the bases and half as long as the sum of the lengths of the bases, we add the lengths of the two bases and set it equal to two times the length of the mid segment.

7x+3+ 15= 16(2)

7x+18= 32

Subtract 18 from both sides.

7x = 14

Divide both sides by 7.

X = 2.

You can check your work by solving for the length of the base 7x + 3.

7(2)+3 =17

Then, add the length of the two bases together.

15 + 17 = 32. Half of 32 equals sixteen, which is your mid segment.

(correct me if i’m wrong, i got the theorem off of the internet and did the rest of the work myself.)

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faust18 [17]

We can write an equation like; 5 + 3x = 35

Steps to solve:

5 - 5 + 3x = 35 - 5

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3x/3 = 30/3

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4 years ago

D - 2 = 4.6 What’s d?

Hunter-Best [27]

Answer:

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Step-by-step explanation:

Use the addition property of equality by adding 2 on both sides

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3 years ago

A metorite found in the United States weighs 7/10 as much as one found in Mongolia. The meteorite found in Mongolia weighs 22 to

Ede4ka [16]

Answer:

The weight of meteorite found in United States is 15.4 tons

Step-by-step explanation:

Given as :

A meteorite found in the United States weighs 7/10 as much as one found in Mongolia .

The weight of meteorite found in Mongolia = x = 22 tons

Let The weight of meteorite found in United States = y

∵The weight of meteorite found in United States = $\dfrac{7}{10}$ × weight of meteorite found in Mongolia

i.e y = $\dfrac{7}{10}$ × x

Or, y = $\dfrac{7}{10}$ × 22 tons

Or, y = $\frac{7\times 22}{10}$

Or, y = $\frac{7\times 11}{5}$

∴ y = $\dfrac{77}{5}$

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6 0

4 years ago

What is the median of the following data values?

kirill [66]

Answer:

$\boxed {\boxed {\sf D. \ 23.5}}$

Step-by-step explanation:

The median is the number in the middle of a set of data. To find, we place the numbers in order from least to greatest and pick the middle number.

The data set is:

17, 19, 20, 21, 22, 25, 29, 30, 32, 35

This is already in order from least to greatest, so we can begin removing numbers from each side of the list until the middle is reached.

19, 20, 21, 22, 25, 29, 30, 32
20, 21, 22, 25, 29, 30
21, 22, 25, 29
22, 25

Now we have 2 numbers that are in the middle. To find the median, we take the mean or average of these 2 numbers. Add them together, then divide by 2.

22 + 25= 47
47/2 = 23.5

The median of this data set is 23.5 and choice D is correct.

3 0

3 years ago

A recipe calls for 2 cups of flour to make 28 cookies. How many cups of flour will the recipe require if 100 cookies are made? R

aniked [119]

Answer:

About 7.1 cups.

Step-by-step explanation:

Recipe requires 2 cups per 28 cookies.

28 divided by 2=14.

So 1 cup per 14 cookies.

100 divided by 14 equals 7.142....

Rounded to the tenths place is 7.1.

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3 years ago