beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. if beth places the swings at point d, how could she prove that point d is equidistant from the jungle gym and monkey bars? if segment dc bisects segment ab, then point d is equidistant from points a and b because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects. if segment dc bisects segment ab, then point d is equidistant from points a and b because congruent parts of congruent triangles are congruent. if segment ad bisects segment ab, then point d is equidistant from points a and b because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects. if segment ad bisects segment ab, then point d is equidistant from points a and b because congruent parts of congruent triangles are congruent.

Answer:

The correct answer is 3.12.

Step-by-step explanation:

93.6 ÷ 30 = 3.12

Therefore, the answer is 3.12.

Hope this helps! :D

Answer:

C

Step-by-step explanation:

Answer:

263 ft

Step-by-step explanation

Answer:

Infinite solution

Step-by-step explanation:

if you use distribute property on  3(x-5), it will equal to 3x-15.

This question is incomplete

Complete Question

For there are 48 apples and 60 bananas and 96 oranges each basket must contain the same number of each type of fruit. Find the greatest number of baskets you can have

Answer:

The greatest number of baskets you can have is 12 baskets.

And each baskets would contain:

4 apples, 5 bananas and 8 oranges

Step-by-step explanation:

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 12.

Therefore, the greatest number of baskets you can have is 12 baskets.

Each baskets would have

For apples

48 apples

48 apples / 12 baskets = 4 apples per basket

For bananas

60 bananas

60 bananas/12 baskets = 5 bananas per basket

For Oranges

96 Oranges/ 12 baskets = 8 oranges per baskets

Answer:

x = 19

<B = 125°

Step-by-step explanation:

The sum f angle <D and angle <A is equal to 180° because these angles are supplementary

75° + 5x + 10 = 180° add like terms

85 + 5x = 180 subtract 85 from both sides

5x = 95 divide both sides by 5

x = 19

Same rule goes for angle <C and angle <B

<B + 55° = 180 subtract 55 from both sides

<B = 125°

The central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle

For given question,

we need to find the radian measure of the central angle of a circle of radius r.

The central angle intercepts an arc of length s.

Let θ be the central angle in radians.

We know that the arc length of circle of radius r is,

s = r × θ

where s is the arc length

r is the radius of the circle

θ is the central angle measured in radians

From above equation,

we have, θ = s ÷ r

Therefore, the central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle

Learn more about the arc length here:

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Answer:

He is correct

Step-by-step explanation:

Put the first equation into y = mx + b by isolating y:

4x + 2y = 10

2y = -4x + 10

Divide each side by 2:

y = -2x + 5

So, putting the first equation into y = mx + b got us the same equation as the second one, y = -2x + 5.

Since they are the same, the equations are equivalent.

Atticus is correct.

The equation that represents a function is (A) y = -2x + 1.

A Function is defined as an equation for which any "x" we substitute in the equation will give only one output such as "y"

it is denoted by y=f(x).

In the given question

Option (A)

y=-2x+1

Yes the given equation is a function ,

because when we substitute a value in x ( let x=2) it gives only a single output (y=-3).

Hence , y=-2x+1 is a function .

Option (B)

x=4

No, it is not a function as ,

x=4 is a vertical line parallel to y axis ,

we know that for a function every value of x will have exactly one y .

For x=4 , y can 0 , -9 , 6 .

Hence , x=4 is not a function.

Option (C)

x=y²-1

No.  it is not a function ,

we know that for a function every value of x will have exactly one y .

For x=0 , y=+1,-1  .

Hence , x=y²-1 is not a function .

Option (D)

y²-x​

No , it is not a function

As y²-x​ do not have an equal to sign "=" , it cannot be considered as an equation.

Hence , y²-x​ is not a function .

Therefore , Only y = -2x + 1 represents a function , the correct option is (A) y = -2x + 1

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Answer: $21000

Step-by-step explanation:

By uwing option A, the salesperson will make (40 × $21) = $840.

Let the amount of sales that is needed for the week to be thesame as option A be x. Therefore,

4% of x = $840

4% × x = $840

0.04x = $840

x = $840/0.04

x= $21000

The salesperson need to sell $21,000 worth of sales

Answer:

138

Step-by-step explanation:

Answer:Y=X+7

Step-by-step explanation:

Answer:

# 1 reb #2 is cfs

hope i could help...........

Step-by-step explanation:

ab+a+b+b+ab

=2ab+a+2b

=a+2b+2ab

We can only add the same term numbers together.

hope it helps!

Answer: 64 lbs

Step-by-step explanation:

I divided 56/140 and got 0.4. Then multiplied 0.4 by 160 and got 64. SOunds about right to me.

You can double check by multipling 0.4 by 140 and you get 56.

Answer:

64lb

Step-by-step explanation:

i mean i got it right on my quiz on egde 2020

Answer: I attached a graph below, hope it helps.

Step-by-step explanation:

A line can be written in the form y = mx + b where m is the slope and b is the y intercept.

Since the slope is given as 4, the equation will be y = 4x + b

Plugging in the point (2,1) to the equation we get 1 = 4(2) + b or 1 = b + 8

Solving for b gives b = -7 so the equation will be y = 4x - 7

Answer:

61 degrees

Step-by-step explanation:

180 - 58 = 122

Since both sides are congruent, 122/2 = 61

Answer:

61

Step-by-step explanation:

Since ED and EF are congruent, Angle D = Angle F meaning angle F is also x degrees.

From here, we can use the total sum of angles in a triangle = 180 to calculate x:

180 = 58 + x + x

180 = 58 +2x

122 = 2x

x= 61 degrees

Answer:

23

Step-by-step explanation:

i honestly have no idea

Answer:

A

Step-by-step explanation:

I am 99.9% certain that this answer is A. It asks the Difference between point A and B. Difference = subtraction. So, C and D is automatically out of the Picture. I calculated A and A makes the most sense.

Answer:

(3, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = -x + 1

y = 4x - 14

Step 2: Rewrite Systems

y = 4x - 14

Step 3: Redefine Systems

y = -x + 1

-y = -4x + 14

Step 4: Solve for x

Elimination

Step 5: Check

Use the point-slope formula and then solve for y.

y - y_1 = m(x - x_1)

y_1 = 4

x_1 = 3

m = 3

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 9 + 4

y = 3x - 5

Done.

Answer: 7 and 8

Step-by-step explanation:

Square root and squared cancel out

Answer:

a=7

b=32

Step-by-step explanation:

The first one (a) is 7 because if you square a square root, you get the number inside the root. Also, technically a square root has an exponent of (1/2) so when you have a power-to-a-power (power rule of exponents) you multiply the exponents. So ([tex]7^{1/2}[/tex])^2 is 7.

For (b) you have to take it in two parts. Square the square root and you get 2. Square the 4 in front, you get 16. Multiply those two numbers (16 and 2) together and you get 32.

Edit: Check on your calculator, you get the same answers I got! :)

Answer:

Step-by-step explanation:

180 degree rotation about point C prime composition reflected across line m

Transformation involves changing the position of a quadrilateral by reflecting and/or rotating it.

The y-coordinate of B" is 3

The coordinates of vertex B of quadrilateral ABCD is:

[tex]\mathbf{B = (-3,7)}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{B' = (-3,-7)}[/tex]

The rule of 90 degrees clockwise rotation across the origin is:

[tex]\mathbf{(x,y) \to (y,-x)}[/tex]

So, we have:

[tex]\mathbf{B" = (-7,3)}[/tex]

Hence, the y-coordinate of B" is 3

Read more about transformation at:

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Answer:

y=4x+24

Step-by-step explanation:

1: find slope

[tex]\frac{0+24}{-6-0}[/tex]

[tex]\frac{24}{-6}[/tex]

4

2:plug into point-slope form

y-0=4(x+6)

y=4x+24

Answer:

y = -4x - 24

Step-by-step explanation:

slope = -4

Answer:

C. 3x

Step-by-step explanation:

The first two choices give 1 solution each.

The last choice gives an infinite number of solutions.

Choice C. gives no solution.

3x + 9 = 3x

Subtract 3x from both sides.

9 = 0

Since 9 = 0 is false, equation 3x + 9 = 3x has no solution.

Step-by-step explanation:

Answer:

C AKA 3x

Step-by-step explanation:

took the test

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

P=2(L + B)

P = 2L + 2B

P - 2B = 2L

OR P - 2B BY 2 = L

THEREFORE, D.

Answer:

D.

Step-by-step explanation: