Triangle KLM is similar to triangle NOP. Find the measure of side PN. Figures are not
drawn to scale.

Step-by-step explanation:

arithmetic sequence : every new item of the sequence is created by adding a constant term to the previous item - in this case 195.

a1 = 3087 (that's our starting value)

a2 = a1 + 195

a3 = a2 + 195 = a1 + 2×195

an = a1 + (n-1)×195

a)

when he is 45 years old, that is 20 years (and 20 annual increments) plus to our starting value.

so, n = 1+20 = 21

a21 = a1 + 20×195 = 3087 + 20×195 = 6987

so, when he is 45 years old, his monthly salary will be RM6,987

b)

how many years (= how big is n) until he gets 8937 ?

8937 = a1 + (n-1)×195 = 3087 + (n-1)×195 =

= 3087 + n×195 - 195 = 2892 + n×195

6045 = n×195

n = 6045/195 = 31

so, a31 = 8937

and that means, he has to work 30 additional years (31 minus the starting level 1) to earn monthly RM8,937.

that means he will be 25+30 = 55 years old.

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Work Shown:

We have this set of data

[tex]\begin{tabular}{|l|l|}\textbf{game} & \textbf{goals}\\ 1 & 5 \\ 2 & 6 \\ 3 & 6\\ 4 & x \end{tabular}[/tex]

where x is some positive whole number. Add up everything in the second column:

5+6+6+x = x+17

This represents the total number of goals made over the four games.

Divide this over the number of games played (4) and set that equal to the mean of 6. Solve for x.

(x+17)/4 = 6

x+17 = 4*6

x+17 = 24

x = 24-17

x = 7

7 goals were scored in the fourth game.

Step-by-step explanation:

a))) -31-71=-102

b)-9+14=+5

Hi there!  

»»————-　★　————-««

I believe your answer is:  

A. - 31 - 71 = - 102

B. - 9 + 14 = 5

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

A. The minuend, subtrahend, and difference are parts of a subtraction problem. In the subtraction problem, - 31 - 71 = - 102, the number - 31 is the minuend, the number 71 is the subtrahend and the number - 102 is the difference.

B. When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Answer in picture below

Answer:

It would be 162

Step-by-step explanation:

690 x 0.235 = 162.15 which rounds to 162

Answer:

I am doinnnnngggghgh ggggggh

Answer:

god knowsnnsjjejjejek

Step-by-step explanation:

substitute x= -1 into the equation to get the remainder

remainder= -2

the remainder is not a fraction

no, it is not a factor since its remainder is not zero

Answer:

4 and 1/2 cups of flour

Step-by-step explanation:

First, you need to divide 2 by 1/3, which will give you 6. Then multiply 6 by 3/4, which gives you 4 1/2. Hope this helped!

Answer:

[tex]\displaystyle y = -\frac{2}{3} x + \frac{34}{3} \text{ or } 2x + 3y =34[/tex]

Step-by-step explanation:

We want to find the equation of a line that contains the point (5, 8) and is parallel to the graph of:

[tex]\displaystyle 2x + 3y = 9[/tex]

Recall that parallel lines have equal slopes.

Find the slope of the given graph by rewriting it in slope-intercept form:

[tex]\displaystyle \begin{aligned} 2x + 3y & = 9 \\ \\ 3y & = -2x + 9 \\ \\ y & = -\frac{2}{3} x + 3 \end{aligned}[/tex]

Hence, the slope of the given graph is -2/3. Therefore, the slope of our new line must also be -2/3.

Since we now have a slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]

Substitution yields:

[tex]\displaystyle y - (8) = -\frac{2}{3}(x -( 5))[/tex]

We can simplify this into slope-intercept form:

[tex]\displaystyle \begin{aligned} y - 8 & = -\frac{2}{3} x + \frac{10}{3} \\ \\ y & = -\frac{2}{3} x + \frac{34}{3}\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y & = -\frac{2}{3}x + \frac{34}{3} \\ \\ 3y & = -2x + 34 \\ \\ 2x + 3y & = 34 \end{aligned}[/tex]

your answer is 4.5 you're welcome :-)

Answer:4.5

Step-by-step explanation:

the rule is

positive - negative  changes to positive + positive so

3- (-1.5) changes to 3 + 1.5 which equals 4.5

3) 1 1/2 gallons for 3/4 of the room

Answer; 2 gallons for 4/4 of the room

4) 12 1/2 gallons drives 325 miles

Answer; 1 gallon drives 26 miles

Answer:

hindi ko po kilala yan

Step-by-step explanation:

pero salamat sa points ☺️☺️

Answer:

FEET

Step-by-step explanation:

We move all terms to the left:

7x-19-(x+5)=0

We get rid of parentheses

7x-x-5-19=0

We add all the numbers together, and all the variables

6x-24=0

We move all terms containing x to the left, all other terms to the right

6x=24

x=24/6

x=4

Answer:

I think this would be 33,222 I don't know I feel positive about this.

Step-by-step explanation:

Answer:

35cm is 0.35 metres.

Hope this helps!

Answer:

The difference is 17 degrees.

Step-by-step explanation:

You want to take your final temperature which in this case is 97°F, and then subtract it from the starting temperature which is 80°F. Doing this will help you find your difference.

97-80 = 17°F

I hope this helps! :)

[tex]\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{ x+2 } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8 \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\ _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}& \\ _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }[/tex]

[tex]\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}[/tex]

Solve what

I think ym forgot to add the question or sth

Answer:

308

Step-by-step explanation:

144+108+56=308

Answer:

4

Step-by-step explanation:

just trust me

Answer: I would see the councilor and see if that can help thats what I did they gave me option and I also could have had a pass to eat with a teacher or I could eat in there office :)

Answer:

I don't know the answer sorry luv but ur pfp is cute

-xoxo

Answer: C, E, F

Step-by-step explanation:Got it right