The ratio of athletes to non-athletes at Taylor middle school is 3 to 4. If there are 33 athletes, how many non-athletes are there?

A n s w e r :

B. AB = PQ

The condition which satisfy the congruency of the given triangle is

BC≈QR.

Two triangles are said to be congruent if all the corresponding sides are equal and all the corresponding angles are equal. The symbol of congruency is '≅'

here, we have,

from the given information, we get,

To show that triangle ABC ≈ triangle PQR by SSS,

In this type of congruency, all the sides of the triangle ABC is equivalent to the all the sides of the triangle PQR.

Given, AC≅PR, AB≅PQ.

The another one condition is BC≅QR.

Hence, the condition which satisfy the congruency of the given triangle is BC≈QR.

Learn more about congruency of triangles here:

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Answer:

4x^2-3x+2

Step-by-step explanation:

Answer:

4x^2 - 3x + 2

Step-by-step explanation:

(3x^2 + 2x - 8) + (x^2 - 5x + 10)

(3x^2) + (x^2) = 4x^2

(2x) + (-5x) = -3x

(-8) + (10) = 2

4x^2 - 3x - 2

Answer:

X = 1/3

Step-by-step explanation:

Multiply all terms by x and cancel:

1

3

+3x=4x

3x+

1

3

=4x(Simplify both sides of the equation)

3x+

1

3

−4x=4x−4x(Subtract 4x from both sides)

−x+

1

3

=0

−x+

1

3

−

1

3

=0−

1

3

(Subtract 1/3 from both sides)

−x=

−1

3

−x

−1

=

−1

3

−1

(Divide both sides by -1)

x =  1 /3

Check answers. (Plug them in to make sure they work.)

x =  1 /3

(Works in original equation)

Answer:

$45

Step-by-step explanation:

In order to create a multiplication equation, we would need to use a single variable that represents the amount that each friend will pay. This can be represented by the variable x. We multiply this variable by the number of friends which should equal the total of the TV with the tax included. Like so...

$210 + $15 = 5x

Now that we have the equation we can go ahead and solve it by adding the total and the tax, and then dividing both sides by 5 in order to isolate x.

$210 + $15 = 5x

$225 = 5x

$45 = x

Finally, we can see that each friend will pay the same amount which is $45

Answer:

Line segment BD is congruent to line segment DC because they are divided by a bisector, which tells you that a bisector is present when both sides of the shape are congruent.

Step-by-step explanation:

Answer:

Then the black cards=12

Step-by-step explanation:

N of red=3

N of black=10

and we have ratio 3:10

think when we ⇒ add 2 to red, will be 5:10= 1:2 not equal to 1:3

                   ⇒add 1 to red and 1 to black, the ratio will be 4:11 not equal to 1:3

                   ⇒add 2 to black, the ratio will be 3:12 = 1:3

Then the black cards=12

hope this helps!

Answer:

Either

(1) there were originally 60 black cards, and 2 red cards were added, or

(2) there were originally 20 black cards, and 1 red card and 1 black card were added.

Step-by-step explanation:

The ratio of red cards to black cards is 3:10.

Since we don't know the actual numbers of red and black cards, we can write the ratio of red to black cards as

3k/10k

After adding 2 cards, the ratio of red cards to black cards becomes 1:3.

There are 3 ways of adding 2 cards: (A) both red, (B) 1 red and one black, (C) both black.

Possibility A: add two red cards

(3k + 2)/(10k) = 1/3

10k = 9k + 6

k = 6

3k/10k = 3(6) / 10(6) = 18/60

There were originally 60 black cards.

Possibility B: add 1 red card and 1 black card

(3k + 1)/(10k + 1) = 1/3

10k + 1 = 9k + 3

k = 2

3k/10k = 3(2) / 10(2) = 6/20

There were originally 20 black cards.

Possibility C: add two black cards.

(3k)/(10k + 2) = 1/3

10k + 2 = 9k

k = -2

3k/10k = 3(-2) / 10(-2) = -6 / -20

We cannot have a negative number of cards.

No solution.

Answer: Either there were originally 60 black cards, and 2 red cards were added, or there were originally 20 black cards, and 1 red card and 1 black card were added.

Answer:

<6, <4,

Step-by-step explanation:

Remote interior angles are interior angles of a triangle where they do not share a point with the exterior angle. So for <6, it's remote interior angles are <1 and <2, and for <4, it's remote interior angles are <3 and <2.

Hope this helps!

Answer:

The selling price is $7

Step-by-step explanation:

Step one:

Given information

She paid $2.80 per shirt

She adds a  150% markup to the total price she paid for the shirts

Let us find 150% of $2.80

=150/100*2.8

=1.5*2.8

=$4.2

Hence the selling price is the markup price plus the cost price

=4.2+2.8

=$7

Answer:

answer is B

Step-by-step explanation:

Answer:

Extreme fitness: y=10x+50

Ultimate fitness:y=15x+30

Step-by-step explanation:

Answer:

The linear function f(x) = -6x - 4

Step-by-step explanation:

The equation of the linear function f(x) is y = m x + b, where

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where  

∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)  

∴ f(-2) = 8 is the point (-2, 8)  

∴ f(1) = -10 is the point (1, -10)

∴ x1 = -2 and y1 = 8

∴ x2 = 1 and y2 = -10

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-10-8}{1--2}[/tex] = [tex]\frac{-18}{1+2}[/tex] =  [tex]\frac{-18}{3}[/tex]

∴ m = -6

→ Substitute it in the form of the equation above

∵ y = -6(x) + b  

∴ y = -6x + b

→ To find b substitute x by 1 and y by -10

∵ x = 1, y = -10

∴ -10 = -6(1) + b

∴ -10 = -6 + b

→ Add 6 to both sides

∵ -10 + 6 = -6 + 6 + b

∴ -4 = b

∴ b = -4

→ Substitute it in the equation

∴ y = -6x + -4

∴ y = -6x - 4

∵ y = f(x)

∴ The linear function f(x) = -6x - 4

Answer:

 |x − 0.5| = 0.05

Step-by-step explanation:

Here x represents the diameter,

Since, an error of 0.05 millimeters is allowance in diameter,

Thus, the maximum acceptable diameter = x + 0.05,

And, the minimum acceptable diameter = x - 0.05

According to the question,

The holes will have a diameter of 0.5 millimeters,

Thus, x - 0.05 < 0.5  and 0.5 < x + 0.05

⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05  

⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05

⇒ |x-0.5| < 0.05

⇒ Option D is correct.

Answer:

Lengths all the three sides are 9m, 18m and 12m

Step-by-step explanation:

Let us assume the length of the second side  to be x m

According to the question:

first side = 2x

third side = x + 3

Applying the formula of perimeter:

Perimeter = length + breadth + height

39 = 2x + x + (x + 3)

39 = 2x + x + x + 3

39 = 4x + 3

39 - 3 = 4x

4x = 36

x = [tex]\frac{36}{4}[/tex]

x = 9

length of the first side (x) = 9 m

length of the second side (2x) =2 × 9 =18 m

length of the third side (x + 3) = 9 + 3 = 12 m

∴ lengths all the three sides are 9m, 18m and 12m

Answer:

See drawing below.

Step-by-step explanation:

use the equation y=3x+2 to determine points needed, by substituting in the x values of -1, 0, 1, etc.

plot points

(-1, -1)

(0, 2)

(1, 5)

Please give thanks :)

Answer:

8

Step-by-step explanation:

[tex] |15 - 23| = | - 8| = 8[/tex]

Answer:

x=12, y=-3

Step-by-step explanation:

Plug (-4y) in for x in the top equation. The equation will now read 2(-4y) + 7y = 3. Distribute the 2 into the perenthecies getting: -8y+7y=3. -8+7 is -1 giving -y+3. Divide by -1 making y = -3. Plug -3 back into the top equation and solve for x: 2x + 7(-3)=3. 2x-21=3. 2x=24. x=12.

Answer:

B

Step-by-step explanation:

Answer:

(-3,4) is the right answer i think im not sure nvm im positive that this is the right answer.........i think

Answer:

21/60

Step-by-step explanation:

32 + 1 + 3 + 3 + 21 = 60

ans = 21/60

Answer:

Step-by-step explanation:

21/60

Answer:

A

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, thus

∠ C = ∠ A = 57°

Answer:

the bottom table (1,-5)

Step-by-step explanation:

the equation is y=5x-10

the equation has no multiple powers involved like cubed or squared

Answer:

i can't see the pic clearly

Step-by-step explanation:

Answer:

m= -2 1/2

Step-by-step explanation:

First, let's put the equation into slope intercept form.

6x-15y=270

-15y=-6x+270

y=6/15x+270

For two lines to be perpendicular, their slopes must be opposite reciprocals.

m=-15/6 or m= -2 1/2

Answer:

slope = - [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

6x - 15y = 270 ( subtract 6x from both sides )

- 15y = - 6x + 270 ( divide all terms by - 15 )

y = [tex]\frac{-6}{-15}[/tex] x - 18, that is

y = [tex]\frac{2}{5}[/tex] x - 18 ← in slope- intercept form

with slope m = [tex]\frac{2}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex]

Answer:

212.7

Step-by-step explanation:

Calculation to Find P60 the score which separates the lower 60% from the top 40%

First step is to find z of 60% using the invNorm distribution

Hence,

z=0.6=0.2533

Now let Find P60 which is the score which separates the lower 60% from the top 40% using this formula

x<=>z

Where,

Standard deviation=50

Mean=200

z=0.2533

Let plug in the formula

x=0.2533*50+200

x=12.665+200

x=212.665

x=212.7(Approximately)

Therefore the score which separates the lower 60% from the top 40% is 212.7

M÷11 M/11

Step-by-step explanation:

when you find the quotient you divide so when you divide with a fraction you take what number you were given first and out it on top of the number you were given second

Answer:

The complex number would be in the 4th quadrant.

Step-by-step explanation:

We know that a complex number is a number that can be expressed in the form of a + bi,

where

Given the complex number

10 - 13i

Here,

As the coefficient of the imaginary part holds a negative sign, and the real part holds a positive sign.

Thus, the complex number would be in the 4th quadrant.

Answer:

B

Step-by-step explanation:

It's B my guy

Answer:

B.)

Step-by-step explanation:

r= 130/2.5

130=r2.5

it would be 52 because you have to divide.... so you would divide 130 by 2.5 and then you would get 52. hope this helps.

Answer:

1/2

Step-by-step explanation:

Calculator :)