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qwelly [4]
2 years ago
6

Hey can anyone help with this question please and thank you

Mathematics
2 answers:
Law Incorporation [45]2 years ago
6 0

Answer:

x = 16

Step-by-step explanation:

7x + 9 = 9x - 23

9 + 23 = 9x - 7x

32 = 7x

32 / 7 = x

16 = x

Viefleur [7K]2 years ago
4 0
Since < (7x + 9) is an interior angle and < (9x - 23) an exterior angle — these angles are on the same side of the transversal, line t. Therefore, they are corresponding angles with the same measure.

Hence, we can establish the following equality statement to solve for x:

< (7x + 9) = < (9x - 23)

Subtract 7x from both sides:

7x - 7x + 9 = 9x - 7x - 23
9 = 2x - 23

Add 23 on both sides:

9 + 23 = 2x - 23 + 23
32 = 2x

Divide both sides by 2 to solve for x:

32/2 = 2x/2
16 = x

Therefore, x = 16.

Substitute x = 16 into the equality statement to verify whether it is the correct value:

< (7x + 9) = < (9x - 23)
7(16) + 9 = 9(16) - 23
112 + 9 = 144 - 23
121 = 121 (True statement. Therefore, x = 16 is the correct answer).


Please mark my answers as the Brainliest if you find my solution helpful :)
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A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?
pashok25 [27]

Answer:

4.2

Step-by-step explanation:

simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.

8 0
2 years ago
If f(x) = x^2 + 8x – 2 and f(0), then the result is:<br><br> -2.<br> 0.<br> 8.
Anastasy [175]

Answer:

-2.

Step-by-step explanation:

f(0) = 0^2 + 8(0) - 2

= -2.

5 0
2 years ago
Suppose that a fast food restaurant decides to survey its customers to gauge interest in a breakfast menu. After surveying multi
Harlamova29_29 [7]

Answer:

ME= \frac{Width}{2}=\frac{0.078}{2}=0.039

\hat p =0.688+0.039=0.727

\hat p =0.766-0.039=0.727

Step-by-step explanation:

Assuming that the confidence interval is (0.688; 0.766)

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval would be given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96  

Use the confidence interval to find the point estimate and margin of error for the proportion

The margin of error is given by :

Me=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

And for our case we can find the width of the confidence interval like this:

Width =0.766-0.688=0.078

And the estimation for the margin of error would be given by:

ME= \frac{Width}{2}=\frac{0.078}{2}=0.039

Now we can find th point of estimate adding the margin of error to the lower limit of the interval or subtracting the margin of error to the upper limit, like this:

\hat p =0.688+0.039=0.727

\hat p =0.766-0.039=0.727

4 0
3 years ago
An airline states that an airplane flight between two cities takes 2.5 hours. The airline also says that the actual flying time
tatiyna

Answer:

i do not know

Step-by-step explanation:

3 0
3 years ago
use the discriminant to determine how many and what kind of solutions the quadratic equation x^2-x=1 has
weqwewe [10]

Answer:

Two solutions

Step-by-step explanation:

x^2-x=1

plug into the discrimiant fomurla

The asnwer ends up being 5

which is positive,  meaning that the discriminant has two solutions

Postitive number = Two solutions

The answer is 0 = One solution

Negative number = No solutions

:)

6 0
3 years ago
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