PQ is a midsegment of triangle GHK, and GH is the mid segment of triangle KLM. What is the length of PK?

Let x= the number of three point shots made}

Let y= the number of two point shots made}

3x+2y=32  first eqn

y=12-x second eqn

A system of equations for the number of three point and two point shots Wyatt made is:

[tex]3x+2y=32 [/tex]  

[tex]x+y=12[/tex]  

Given the following data:

A system of equations refers to an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

Translating the word problem into an algebraic expression, we have;

For the number of three point and two point shots Wyatt made:

[tex]3x+2y=32 [/tex]    ...equation 1.

[tex]x+y=12[/tex]     ...equation 2.

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Answer:

A. 15

Step-by-step explanation:

Multiply .2 by each value you have.

So 0.2 * 15=3

0.2 * 6=1.2

0.2 * 9=1.8

0.2 * 18=3.6

Answer:

6.25% of the day commuting

Step-by-step explanation:

45+45=1 hour 30 minutes

1.5/24

0.0625

6.25%

Answer:

6.25% of the day is spent commuting

Step-by-step explanation:

45+45=90 minutes

turn this into hour form because you want to make it easier to find out how much of a 24-hour day is spent commuting so 90 minutes = 1.5 hours

then you use 24 hours as the denominator since that is how many hours are in the day so 1.5/24=0.0625

to get this into a percentage, you multiply by 100 so 0.0625*100=6.25%

you can also solve this using solely minutes but converting to hours makes it easier in my opinion

Step-by-step explanation:

Given

Divide by the following:

(a) 3x² + 2x + 1

Quotient = 2x, remainder = -3x + 5

(b) x³ - 3x + 2

Quotient  = 6, remainder  = 4x² + 22x - 7

(c) 6x² + x - 2

Quotient  = x, remainder = 3x² + x + 5

Answer: is x = -8

this is how i got it ______

6 x - 3 - 11 - 8 x = 2

(simplify both sides and combine like terms)

(6x + -8x ) + ( -3 + -11) = 2

- 2x  +  -14 = 2

-2x  -  14 = 2

( then you add 14 to both sides)

- 2x - 14 = 2

     +14       +14

-2x = 16

( then you divide both sides by -2)

-2x / -2   =   16/ -2

x = -8

ta da!! happy to help!

it made it here. this is for the second one.

( first, we subtract 8n from both sides)

13n + 26 = 8n - 29

-8n           -8n

5n + 26  =  -29

( then we subtract 26 from both sides)

5n + 26 = -29

     - 26    -26

5n = - 55

(after that we divide both sides by 5, we do this to make n alone )

5n/ 5 = -55/ 5

n = -11

Answer:

195

Step-by-step explanation:

Answer:

Step-by-step explanation:

The statements are not provided in the question, however, we can deduce from the information given.

in the information provided, expenses are -ve(negative)

and allowances are +ve (positive)

if at the end of the month she balances are account and the total is zero

We can conclude that:

1. Her total expenses is equal to her allowance for the month

2. Meg spent all her allowances for the month

Answer:

B. 1

Step-by-step explanation:

The slope is calculated by taking the difference in the y-coordinates of two points and dividing that by the difference in the x-coordinates of those two points.

Here, we have (6, -12) and (15, -3).

The difference in the y-coordinates is:

15 - 6 = 9

The difference in the x-coordinates is:

-3 - (-12) = -3 + 12 = 9

Divide 9 by 9:

9/9 = 1

The slope is thus 1, and the answer is B.

Answer:

(-2,-5)

Step-by-step explanation:

(-2,-5)

Answer: 8an + 20a + 6n + 14

Step-by-step explanation:

Answer:

8x - 1x

Step-by-step explanation:

Just do the stuff in the ()'s  first, for this it's is 4x - 3x, then rewrite the problem and it is  simplified

Answer:

I think it's c. dndndbxbxhebd

Answer:

Step-by-step explanation:

First let us get the slope of the line PQ and RS

For PQ;

Given P(6, -2) and Q(-2,8)

slope m = 8-(-2)/-2-6

slope of pQ = 10/-8

slope of PQ = -5/4

For RS

R ( − 4 , 3 ) and S(-9, y)

slope of RS = y-3/-9+4

slope of RS = y-3/-5

For PQ to be perpendicular to RS, the product of their slope must be -1

Hence -5/4 (y-3/-5) = -1

y-3/4 = -1

cross multiply

y-3 = -4

y = -4+3

y = -1

Hence the value of y for PQ to be perpendicular to RS is -1

Answer:

6037.2 pounds of bamboo shoots does the female panda eat.

Step-by-step explanation:

Total pandas = 3

Total bamboo shoots eaten = 18112 pounds

Let baby panda eats bamboo = x

Male panda eats bamboo= 3x

Female panda eats bamboo = 2x

So, the equation will become

[tex]x+3x+2x=18112[/tex]

Now solving the equation to find value of x

[tex]x+3x+2x=18112\\6x=18112\\x=\frac{18112}{6}\\x=3018.6[/tex]

The value of x we get : x=3018.6

So, baby panda eats bamboo shoots = 3018.6 pounds

Male panda eats bamboo shoots = 3x = 3(3018.6) = 9055.8 pounds

Female panda eats bamboo shoots = 2x = 2(3018.6)= 6037.2 pounds

So, 6037.2 pounds of bamboo shoots does the female panda eat.

Answer:

B. x−3y=6 5x−y=10

Step-by-step explanation:

I just took a test with the same problem on it.. I got it wrong but this is what the test said was right.

The system of equations is represented by lines m and n are x - 3y = 6 and 5x − y = 10 option (B) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

These tables of ordered pairs represent some points on the graphs of lines m and n.

Line m

x y

−3 −3

0 −2

6 0

The equation of the line:

y + 2 = (-2+3)/3[x]

y + 2 = x/3

3y + 6 = x

x - 3y = 6

Line n

x y

−3 −25

1 −5

6 20

The equation of the line n:

5x − y = 10

Thus, the system of equations is represented by lines m and n are x - 3y = 6 and 5x − y = 10 option (B) is correct.

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Answer:

false

Step-by-step explanation:

Answer:

Hi there! :)

Step-by-step explanation:

Lesson: Slope/ and slope-intercept form

Slope is 0

Final answer is 0

*The answer must have a positive sign.*

I hope this helps you!

Have a nice day! :)

Answer:

1000000

Step-by-step explanation:

29292929292

sjsksksksn2292020wmz

Answer: 1 meter squared

Step-by-step explanation: 1 meter by one meter is one meter squared

Answer:

a = -1 and 6

Step-by-step explanation:

[tex] \frac{a(a - 5)}{6} = 1[/tex]

[tex]a(a - 5) = 6[/tex]

[tex] {a}^{2} - 5a = 6[/tex]

[tex] {a}^{2} - 5a - 6 = 0[/tex]

[tex](a + 1)( a- 6)[/tex]

a = -1 and a = 6

Answer:

What the equation is telling us is that after opening for 1 hour 15 minutes, there were 28 visitors

Step-by-step explanation:

The function we are given is ;

V(1.25) = 28

what this mean is that the number of visitors in the museum after 1.25 hours of opening is 28

1.25 hours is same as 1 hour (0.25 * 60) minutes

What is in the bracket is trying to convert the 0.25 hours to minutes

Since 1 hour is 60 minutes, 0.25 will be (0.25 * 70)

Which is 1 hour 15 minutes

So after opening for 1 hour 15 minutes, the museum had 28 visitors

A statement is convert into the equation by keeping the conditions equal in the form of expressions.

The given function tells that, in 1 hour, 15 minutes of the number of visitors, visit the museum is 28.

To identify the statement in the form of equation we need to know about the equation of statement.

A statement is convert into the equation by keeping the conditions equal in the form of expressions.

Given information-

The art museum opens at 9 A.M.

The art museum closes at 5 P.M.

The function [tex]V[/tex] gives the number of visitors in a museum [tex]h[/tex] hours after it opens.

The statement in the form of equation given in the problem is,

[tex]V(1.25)=28[/tex]

As the above equation is the function of visitors visit the museum in to the number of hours.

Here bracket value (1.25) of function [tex]V[/tex] tells the number of hours in which 28 visitors visit the museum.

Convert 1.25 hours is the 1 hour and 0.25 hours.

AS one hour equal to 60 minutes thus, the number of minutes in 0.25 hours,

[tex]=0.25\times60\\=15[/tex]

Hence the given function tells that, in 1 hour, 15 minutes of the number of visitors, visit the museum is 28.

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Answer:

A.

[tex] w \ge 300g + 1000 [/tex]

Step-by-step explanation:

weight of empty crate = 1000 grams

weight of an orange = at least 300 grams

That means that the weight of an orange is equal to or greater than 300 grams.

Weight of g oranges = at least 300g

Total weight of crate and oranges = w

[tex] w \ge 300g + 1000 [/tex]

Answer:false

Step-by-step explanation:

Answer: its 60 i just did this test

Step-by-step explanation:

yolo Tallahassee Florida Free the North Side.

The measure of each of the smaller angles is 60 degrees. The correct answer would be an option (A).

A polygon is a two-dimensional flat form with straight, completely closed sides. Straight, not curved, sides are required. Polygons, on the other hand, can have any number of sides.

Let's represent the measure of each of the four congruent interior angles of the pentagon "x". Then the fifth angle would have a measure of 5x.

The sum of the interior angles of a pentagon is equal to 180(n-2) degrees, where n is the number of sides of the polygon. In this case, n = 5, so the sum of the interior angles is equal to 180(5-2) = 540 degrees.

Therefore, the equation for the measures of the interior angles of the pentagon is:

x + x + x + x + 5x = 540

Simplifying the equation, we get:

9x = 540

Dividing both sides by 9, we find:

x = 60

So, each of the smaller angles has a measure of 60 degrees, and the larger angle has a measure of 5x = 5 × 60 = 300 degrees.

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Answer:

Any angle that is on the inside of a shape is called an interior angle.

Step-by-step explanation:

Any angle that is on the outside of a shape is called an exterior angle. An exterior angle is made by extending one of the lines of the shape beyond the intersection point. ... Notice that the two angles make a straight line.