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Darya [45]
2 years ago
7

What is the value of x and y?

Mathematics
1 answer:
ladessa [460]2 years ago
5 0

Answer:

x=16 and y=9

Step-by-step explanation:

2y+30=3y+21[Diagonals of parallelogram are equal]

30-21=3y-2y

y=9

3y=2x-5[Diagonals of parallelogram are equal]

3×9=2x-5

27=2x-5

2x=27+5

x=32/2=16

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A line passes through the two points: (1, 10) and (6,5).
Snowcat [4.5K]

Answer:

<em>(a). - 1 ; (b). y = - x + 11</em>

Step-by-step explanation:

(1, 10)

(6, 5)

<em>(a).</em> <em>m</em> = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{5-10}{6-1} = <em>- 1</em>

<em>(b).</em> y - 5 = - 1(x - 6)

<em>y = - x + 11</em>

5 0
3 years ago
The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has under
Ann [662]

Answer:

t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50    

Step-by-step explanation:

Data given and notation  

\bar X=1.20 represent the sample mean given

\sigma = 0.14 represent the population standard deviation

n=49 sample size  

\mu_o =1.25 represent the value that we want to test

t would represent the statistic (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1.25  

Alternative hypothesis:\mu < 1.25  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50    

5 0
3 years ago
Whats 1 plus 1 pls help im lonley
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Answer: im lonely 2 but the answer is shrek!

Step-by-step explanation:

8 0
3 years ago
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Simplify y3x6 / y5x4 for sum
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9/10 or 0.9
Hope this helps
6 0
2 years ago
If your finding the change in x, is it vertical or horizontal?
Basile [38]
Horizontal, by the way don listen to that just trying to get points
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2 years ago
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