Will give brainliest to whoever replies with the correct answer. (Question is in the image)

Mathematics

1 answer:

EastWind [94]3 years ago

5 0

Answer:x = 7

Step-by-step explanation:

Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':

Cross-multiply: 3(x + 1) = 6(x - 3)

Distribute: 3x + 3 = 6x - 18

Combine like terms: 21 = 3x

Solve for 'x': x = 7

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Luis wants to buy a skateboard that usually sells for $79.20. All merchandise is discounted by 12%. What is the total cost of th

Contact [7]

Answer:

$74.75

Step-by-step explanation:

When it comes to tax, the sales tax is applied <em>after</em> the discount is provided by the store, as long as it is something like a direct store coupon or a discounted price. In this case, it is a discounted price by the store, so we will include sales tax after.

$79.20 after a 12% discount becomes $69.70 (or $69.696).

The state tax applies to this new price.

7.25% of $69.70 is $74.75

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4 years ago

if each interior angle of a regular convex polygon is three times the measure of each exterior angle, what kind of polygon is it

Julli [10]

The interior angle of a regular polygon is equal to 180(n - 2)/n. The exterior angle is always equal to 360/n. Using the given relationship from the item above, the equation that can be formed is,

180(n - 2)/ n = 3(360/n)

The value of n from the equation is 8. The polygon with 8 sides is an octagon.

<em>Answer: OCTAGON</em>

4 0

4 years ago

A 2-gallon container of disinfectant costs $24.32. What is the price per cup?

max2010maxim [7]

.76 cents per cup.

Their are 16 cups in a gallon.
2 gallons would be 32cups.
Divide 24.32 by 32.

0.76 is your answer

4 0

2 years ago

Read 2 more answers

A researcher studying reaction time of drivers states that, "A 95% confidence interval for the mean time (8.1) it takes for a dr

Sergio039 [100]

Answer:

For this case we know that the confidence interval is given by (1.2 , 1.8) and the point of estimate for $\mu$ would be:

$\bar X = \frac{1.2+1.8}{2}= 1.5$

And the margin of error is given by:

$ME = \frac{1.8-1.2}{2}= 0.3$

Step-by-step explanation:

Previous concepts

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".

$\bar X$ represent the sample mean for the sample