the diagram shown, ∠6 measures 97 degrees. What is the measure of ∠5?

Final answer:

To find the equation of a line that is perpendicular to 5x-3y=12 and passes through (3,1), we first identify the slope of the given line, find the negative reciprocal to determine the perpendicular slope, and then use the point-slope form to derive the equation, resulting in y = -3/5x + 14/5.

Explanation:

The question asks us to write the equation of a line that is perpendicular to the given line 5x-3y=12 and passes through the point (3,1). Perpendicular lines have slopes that are negative reciprocals of each other. First, we find the slope of the given line by rearranging it into slope-intercept form:

5x - 3y = 12
-3y = -5x + 12
[tex]y = \(\frac{5}{3}x - 4\)[/tex]

This reveals the slope of the given line is  [tex]\(\frac{5}{3}\).[/tex] The slope of the line perpendicular to it would therefore be [tex]\(-\frac{3}{5}\)[/tex]since  [tex]\(-\frac{3}{5}\)[/tex]is the negative reciprocal of  [tex]\(\frac{5}{3}\).[/tex] Next, we use the point-slope form for the equation of a line with the known point (3,1):

y - y1 = m(x - x1)
[tex]y - 1 = \(-\frac{3}{5}\)(x - 3)[/tex]

Multiplying out, we get:

[tex]y - 1 = \(-\frac{3}{5}\)x + \(\frac{9}{5}\)[/tex]

Finally, adding 1 to both sides to solve for y:

[tex]y = \(-\frac{3}{5}\)x + \(\frac{9}{5}\) + 1[/tex]
[tex]y = \(-\frac{3}{5}\)x + \(\frac{14}{5}\)[/tex]

This is the equation of the line that is perpendicular to 5x-3y=12 and passes through (3,1).

Answer:

I only know that the coefficent of y is 11

Step-by-step explanation:

Answer:

the answer is 2 i just did the assignment

Step-by-step explanation:

edge

The factor of the expression is [tex]6 \div 7[/tex], c, and d.

Given that,

Based on the above information, the factors are as follows:

[tex]6 \div 7[/tex], c, and d.

Therefore we can conclude that the factor of the expression is [tex]6 \div 7[/tex], c, and d.

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To estimate the percentage of all cars that may be unsafe, divide the number of cars with safety violations by the total number of cars stopped, and then multiply by 100. Based on the data from the auto checkpoint, approximately 10.45% of all cars may be unsafe.

To estimate the percentage of all cars that may be unsafe, we can use the proportion of cars with safety violations found at the auto checkpoint. We can calculate the percentage by dividing the number of cars with safety violations by the total number of cars stopped, and then multiplying by 100.

In this case, 14 of the 134 cars stopped had safety violations. So, the percentage of cars that may be unsafe is (14/134) x 100 = 10.45% (rounded to two decimal places).

Therefore, we can estimate that approximately 10.45% of all cars may be unsafe based on the data from the auto checkpoint.

Answer:

The shorter piece is 3-ft long and the long piece is 8-ft long

Hope this helped you!!

I took the the the test on K12 and it was right I got 100%

;^D

Sophie is not correct in her statement. The total number of stars is the same in both scenarios, which is 18.

Sophie is not correct in her statement. Let's calculate the total number of stars in each scenario:

Scenario 1: Sophie drew 6 circles, and in each circle, she drew 3 stars. So the total number of stars is 6 × 3 = 18 stars.

Scenario 2: Sophie drew 3 circles, and in each circle, she drew 6 stars. So the total number of stars is 3 × 6 = 18 stars.

As we can see, both scenarios result in the same total number of stars, which is 18. Therefore, Sophie's statement is correct, and she did get the same total number of stars both times.

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The required money earned by the company after selling 10⁵ balls is $4500000. Option C is correct.

A bowling ball manufacturer's heaviest bowling ball weighs 21 pounds and costs $45. The corporation sold 10 5 105 of these balls throughout the course of the previous year. To determine how much money did the company earn.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Number of balls sold = 10⁵
Cost for 1 ball = $45
Total selling price = 45 * 10⁵ = $4500000

Thus, the required money earned by the company after selling 10⁵ balls is $4500000. Option C is correct.

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Answer:

the answer is a

Step-by-step explanation: how i knew is because i remembered this questions a while back so yeah the answer is a i hope this will help

[tex]

{\text{Here, we have the algebraic expression}} \hfill \\
8w \times {2^2} - 18w \hfill \\
{\text{For simplifying the expression, first we solve the exponent part,}} \hfill \\
{\text{and then the resultant will be multiply with the monomial }}18w \hfill \\
8w \times {2^2} - 18w \hfill \\
= 8 \times w \times {2^2} - 18w \hfill \\

= \left( {8 \times {2^2}} \right) \times w - 18w\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left[ {\because \,{\text{By associative law }}a \times \left( {b \times c} \right) = \left( {a \times b} \right) \times c} \right] \hfill \\

= \left( {8 \times 4} \right) \times w - 18w \hfill \\

= 32 \times w - 18w \hfill \\

= 32w - 18w \hfill \\

= 14w \hfill \\

[/tex]

divide total miles by time

350 / 5  =70 miles per hour

Answer:

I'm pretty sure the answer is A.

Step-by-step explanation:

Because those first 5 points + the other 3 rounds that had the same amount of points scored. So, 5 + 3p (in other words, P is representing the unknown number of points scored in those 3 other rounds. So, Choice A is your answer. ;)