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Alex787 [66]
3 years ago
7

2. The figures in each pair are similar. Find the value of each variable. Show your work.

Mathematics
2 answers:
Gelneren [198K]3 years ago
8 0
Line up the shapes.
a.  2/8 = x/16

b.  12/4 = 18/x = y/8

c.  6/4=8/y=7/x

a.  Cross multiply. 8x = 2*16
8x = 32
divide both sides by 8
x = 4

b.  12/4 = 18/x
cross multiply
12x = 18*4
12x = 72
divide both sides by 12
x = 6

12/4 = y/8
cross multiply
4y = 12*8
4y = 96
divide both sides by 4
y = 24

c.  6/4 = 8/y
cross multiply
6y = 8*4
6y = 32
divide both sides by 6
y = 32/6 = 16/3

6/4 = 7/x
cross multiply
6x = 7*4
6x = 28
divide both sides by 6
x = 14/3
Olegator [25]3 years ago
4 0
I hope this helps you option C Y = 16/3

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Write the point-slope form of the line that passes through (6,1) and is parallel to a line with a slope of -3 include all of you
ycow [4]

<u>Answer: </u>

The point-slope form of the line that passes through (6,1) and is parallel to a line with a slope of -3 is 3x + y – 19 = 0

<u>Solution: </u>

The point slope form of the line that passes through the points \left(x_{1} y_{1}\right) and parallel to the line with slope “m” is given as  

y - y_{1} = m\left(x - x_{1}\right) --- eqn 1

Where “m” is the slope of the line. x_{1} \text { and } y_{1}are the points that passes through the line.

From question, given that slope “m” = -3

Given that the line passes through the points (6,1).Hence we get x_{1} = 6 ; y_{1} = 1

By substituting the values in eqn 1, we get the point slope form of the line which is parallel to the line having slope -3 can be found out.

y – 1 = -3(x – 6)

y – 1 = -3x +18

On rearranging the terms, we get

3x + y -1 – 18 = 0

3x + y – 19 = 0

Hence the point slope form of given line is 3x + y – 19 = 0

8 0
3 years ago
Help fast! Which one is true?
Serga [27]

Answer B

Step-by-step explanation:

I took the test and got it right

5 0
2 years ago
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A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the
SpyIntel [72]

Answer:

c. (12.12, 18.48)

Step-by-step explanation:

Hello!

The study variable is X: number of times a racehorse is raced during its career.

The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.

To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:

X[bar] ± t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }

t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093

[15.3 ± 2.093 * \frac{6.8}{\sqrt{20} }]

[12.12; 18.48]

Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].

I hope it helps!

8 0
3 years ago
Joe is trying to find out how many cubic centimeters of sand he can fit in a hole he dug in his backyard. The size of the hole i
Agata [3.3K]
Joe is trying to find out how many cubic centimeters of sand he can fit in a hole he dug in his backyard. The size of the hole is shown in the diagram. Which of the equations will yield the correct answer?

The correct answer is :
A) V = 9.1(2.2)(3.8)

Hope this helps!
7 0
3 years ago
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4 thousands less than 1.895​
solmaris [256]

Answer:

You mean thousandths?

It’s 1.891

Step-by-step explanation:

The thousandths place is the 3rd digit to the right of the decimal. 5-4=1

8 0
3 years ago
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