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Lady bird [3.3K]
3 years ago
13

Find the value of the variables in each figure. Explain your reasoning.​

Mathematics
2 answers:
worty [1.4K]3 years ago
7 0

Answer: Number 7)  x=14 and y=37

Number 8)  x=28 and y=23

Step-by-step explanation: Number 7) Please see fig 1 in the attachment for naming of angle.

As per diagram line b||c and their transverse line a.

Using line and angle concepts.

{Corresponding angles of parallel line b||c}

{Supplementary angle of straight line}

Now combine the like term and solve for x and we get,

12x=180-12

x=14

For line a, 4y-10+3x=180 {Supplementary angle of straight line}

where, x=14

So, we get 4y-10+3(14)=180

4y=180-32

y=37

Number 8) Please see fig 2 in the attachment for naming of angles.

As per given diagram a||b||c and line d is transversal of all three line.

Using line and angle concepts.

{Corresponding angles of parallel line a||b}

{Supplementary angle of straight line}

3y+5y-4=180

8y=184

y=23

3y=2x+13 {Corresponding angles of parallel line b||c}

we calculated y=23 substitute into above equation and we get

3(23)=2x+13

2x=69-13

x=28

tiny-mole [99]3 years ago
5 0

Answer:  ..................................................

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Epic math question that i cant solve
zvonat [6]
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area of outside: 6 X 10y —> 60y
area of inside: 3 X 5x —> 15x

so the area of the shaded region is 60y-15x

the GCF is 15, so the factored form is: 15(4y-x)

8 0
3 years ago
A becerage is made bye 3 parts of water 5 parts of fruit juice how many parts of water are mixed with 1 part off fruit juice
Ad libitum [116K]

Answer:

  3/5

Step-by-step explanation:

The given ratio is ...

  water : juice = 3 : 5

Divide both numbers by 5 to see how much water is needed with 1 cup of juice.

  water : juice = (3/5) : 1

3/5 parts of water are mixed with 1 part of juice.

6 0
3 years ago
10. Use the diagram below to find the value of x.
Sholpan [36]

Answer:

x=20

Step-by-step explanation:

Hello There!

Remember the exterior angle of a triangle rule:

An exterior angle of a triangle is equal to the sum of the opposite interior angles

Knowing this, we can create an equation to solve for x

exterior angle (100) = sum of opposite interior angles (3x+2x)

100 = 2x+3x

now we solve for x

step 1 combine like terms

2x+3x=5x

now we have 100=5x

step 2 divide each side by 5

5x/5=x

100/5=20

we're left with x = 20

7 0
2 years ago
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A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sampl
jeka94

Answer:

<h3>The standard error of the mean is <u>15</u></h3>

Step-by-step explanation:

Given that a simple random sample of 64 observations was taken from a large population.

Hence it can be written as n=64

The population standard deviation is 120.

It can be written as \sigma_{\overline{X}}=120

The sample mean was determined to be 320.

It can be written as \overline{X}=\mu =320

<h3>To find the standard error of the mean :</h3>

The formula for the standard error of the mean is given by

\sigma_{\overline{X}}=\frac{\sigma}{\sqrt{n}}

Now substitute the values in the formula we get

\sigma_{\overline{X}}=\frac{120}{\sqrt{64}}

=\frac{120}{8}

=15

\sigma_{\overline{X}}=15

<h3>∴ The standard error of the mean is 15</h3>
3 0
3 years ago
Help with this question please!!
m_a_m_a [10]

Answer:

Width = 160

Length = 110

Step-by-step explanation:

Perimeter is the sum of all the sides

They tell you that the length is 50 m shorter than the width

so L = W - 50

W = W

540 = W + W + W-50 + W-50

540 = 2W + 2(W-50)

540 = 2W + 2W - 100

540 = 4W - 100

640 = 4W

W = 160

L = 160 - 50

L = 110

8 0
3 years ago
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