MATHEMATICS MIDDLE SCHOOL

The measure of angle Jkl can be represented using the expression 3x+5 What is the Degree of JKL

Answers

Answer 1

Answer:

Answer:

$65^\circ$

Step-by-step explanation:

It is given that the measure of angle JKL can be represented by $(3x+5)$ .

And from the figure we can see that the measure of angle JKL is,

$(45^\circ+x^\circ)$

Both the measures must be equal, hence equating both the angles we get,

$(3x+5)=45+x$

Solving for 'x' we get,

$3x+5=45+x$

$3x-x=45-5$

$2x=40$

$x=(40)/(2)$

$x=20$

Putting the value of 'x' we can calculate the measure of angle JKL,

$45^\circ+x^\circ=45^\circ+20^\circ=65^\circ$

Therefore, the measure of angle JKL is, $65^\circ$ .

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A ratio is a rate. Sometimes, always, or never true? Give an example.

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Which is greater 2000m or 20 kilo

Answers

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2000 m=2 km

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A system manager wanted to see if the percentage of spam in emails sent to a large corporation is 80%. Of 500 randomly chosen emails sent the corporation, 76.4% of them were spam.Population:

Answers

Answer:

employees of large corporation

Step-by-step explanation:

the sample was 500 but they are simply a representation of the population, being the all the people who are part of the company and receive emails.

Population: The entire set of emails sent to the large corporation.

Sample: The 500 randomly chosen emails used for the analysis.

Sample Percentage of Spam: 76.4%

Hypothesis Test: The system manager is testing whether the actual percentage of spam in the entire population of emails sent to the corporation is 80%.

Based on the provided information, it seems that the system manager conducted a sample analysis to compare the observed sample percentage of spam (76.4%) to the hypothesized population percentage (80%). The next steps would involve performing a statistical hypothesis test, such as a one-sample proportion test, to determine if the observed difference is statistically significant or if it could have occurred due to random chance.

Find the sum of 301+73+27, mentally, using the Associative Property of addition. Show how you can use the property to group two of the addends. Explain how you found the sum.

Answers

The answer is 401, because you can put parenthesis between 73 and 27. The equation would now be 301+(73+27). You do the expression inside the parentheses first. Now it will be 301+(100) which is the same as 301+100. You know 301 plus 100, which is 401. There's your answer. I hope this helped.

What is the difference of 4,047 and 2,191?

Answers

answer: 1,856
4,047 - 2,191 = 1,856

Please help me!!!
Will give 100 points.
Will give BRAINILEST

Answers

Step-by-step explanation:

The shape of the new pizza must meet the conditions:

Be an irregular polygon (different sides and/or angles).
Have at least five sides.
Have the approximately the same area as a 14" diameter circle.
Fit in a 14⅛" × 14⅛" square.
Be divisible into 8-12 equal pieces.

For simplicity, I will choose a polygon with 5 sides (a pentagon), and I will use 2 right angles (a "house" shape).

Split the pentagon into a rectangle on bottom and triangle on top. If we cut the rectangle into 8 pieces like a regular pizza, and the triangle in half, we get 10 triangles.

Now we just need to figure out the dimensions. The area of a 14" circular pizza is:

A = πr²

A = π (7 in)²

A ≈ 154 in²

That means the area of each triangle slice needs to be 15.4 in². If we make the total width of the pentagon 14", then the width of each triangle is 7", and the height of each triangle is:

A = ½ bh

15.4 in² = ½ (7 in) h

h = 4.4 in

Which makes the total height of the pentagon 3h = 13.2 in.

So, our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.

Of course, there are many possible solutions. This is just one way.

Answer:

our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.

Step-by-step explanation:

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