Suppose JK bisects angle LJM. The measure of angle LJK = (-10x + 3) and the measure of KJM = (-x + 21)º. Find the measure of angle LJM.

Answers

Answer 1
Answer: LJK = KJM -10x +3 = -x + 21 -10x + x = 21 - 3 -9x = 18 x = -2 KJM = -x + 21 = 2 + 21 = 23 LJM = LJK + KJM LJM = 23 + 23 LJM = 46º..
  
i think thats how its done 

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Based on the table, what is P (2 > 1)?
Leave your answer in decimal form to three places.

Answers

Point 4 because it’s correct self explanatory

Multiply. Write your answer in simplest form.

2 1/2 x 3 2/3

Answers

2 (1)/(2) * 3 (2)/(3) = (5)/(2) * (11)/(3)
                    =  (55)/(6)
                    =  9 (1)/(6)

Answer:

9^1/6

Step-by-step explanation:

Which of the following employees has the greatest total employee compensation?a.
Employee A: total job benefits $49,200 and total job expenses $300
b.
Employee B: total job benefits $49,500 and total job expenses $500
c.
Employee C: total job benefits $ 49,800 and total job expenses $700
d.
Employee D: total job benefits $50,100 and total job expenses $900

Answers

We have to choose the correct answer which of the employees has the greatest total employee compensation. We just have to subtract the job expenses from total job benefits for everyone of them. A: $49,200 - $300 = $38,900. B : $49,500 - $500 = $49,000. C : $49,800 - $700 = $41,100. D : $50,100 - $900 = $49,200. The largest sum is $49,200 ( employee D ) . Answer: The greatest total employee compensation has Employee D.
D: Employee D: Total employee benefits $3,000                        Total job benefits $52,300

in example 4A,simon raised a total of $25.00 for selling 10 candles.if simon raised $30.00 for selling 10 candles ,would the unit rate be higher or lower explain.

Answers

The unit rate would be higher if Simon raised $30.00 for selling 10 candles.

What is rate ?

In math, a rate is a ratio that compares two different quantities which have different units.

Now given that,

Total candle sold = 10

Total amount of 10 candles = $25.00

Thus, amount per candle = $25/10

⇒ amount per candle = $2.5

Similarly, Total candle sold = 10

Total amount of 10 candles = $30.00

Thus, amount per candle = $30/10

⇒ amount per candle = $3

Now, since total of $30.00 for selling 10 candles is greater than total of $25.00 for selling 10 candles.

Thus, the unit rate would be higher.

Thus, the unit rate would be higher if Simon raised $30.00 for selling 10 candles.

To learn more about rate :

brainly.com/question/21895924

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higher: 25.00÷10=$2.50 and 30.00÷10=$3.00

so the unit rate is higher

A regular octagon STUVWXYZ is rotated 135 degrees clockwise around its center. Vertex X is carried onto which vertex After the rotation?

Answers

it will be carried onto S





good luck

Final answer:

When a regular octagon is rotated 135 degrees clockwise, vertex X will be carried to the position of vertex S.

Explanation:

When a regular octagon is rotated 135 degrees clockwise around its center, each vertex is carried onto the vertex that is three vertices away in a clockwise direction. The question is asking which vertex the point X will be rotated to after a 135-degree clockwise rotation. Since the octagon is regular, it has 8 equal sections of 45-degrees each. When rotating 135-degrees, we rotate 3 of these 45-degree sections. Therefore, moving clockwise from vertex X, the vertex that will take the position of X after the rotation will be UVWXYZ, i.e., vertex S.

Learn more about Rotation of shapes here:

brainly.com/question/29177134

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The sum of three consecutive even numbers is one hundred sixty - two.What is the smallest of the three numbers ?

Answers

Answer:

 52

Step-by-step explanation:

Let x represent the smallest of the three numbers. Then the other two are (x+2) and (x+4). Their sum is ...

  x + (x+2) +(x+4) = 162

  3x = 156 . . . . . . . . . . . .subtract 6

  x = 156/3 = 52

The smallest of the three numbers is 52.

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I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.