A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It travels from point A to point B, then points C, D, and E, respectively, before returning to the recycling plant at point A at the end of the day. The truck’s route is illustrated on the coordinate plane below. If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?

Sum of the interior angles of any triangle equal 180° ;

So :

90° + 24° + T = 180°

114° + T = 180°

subtract both sides 114

T = 180° - 114°

T = 66°

_________________________________

And we're done....

♥️♥️♥️♥️♥️

Answer:

-1.34

Step-by-step explanation:

Answer:

Slope is -2/3. The y - intercept is -10/3.

Step-by-step explanation:

Simplify the equation by using division property of equality.

Answer:

Blank 1: 1/2

Blank 2: -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of red roses = 108

Number of white roses = 144

Number of yellow roses = 48

Number of purple roses = 72

If the number of roses in each bunch are identical,

Number of bunches of roses = HCF of number of roses

Factors of 144 = 3×3×2×2×2×2×1

Factors of 108 = 3×3×3×2×2×1

Factors of 72 = 3×3×2×2×2×1

Factors of 48 = 3×2×2×2×2×1

Common factors of 144, 108, 72, 48 = 3 × 2 × 2 × 1 = 12

Therefore, number of bunches of roses with equal number of roses = 12

Number of red roses in each bunch = [tex]\frac{108}{12}=9[/tex]

Number of white roses in each bunch = [tex]\frac{144}{12}=16[/tex]

Number of yellow roses in each bunch = [tex]\frac{48}{12}=4[/tex]

Number of purple roses in each bunch = [tex]\frac{72}{12}=6[/tex]

Answer:

160 musics

Step-by-step explanation:

let the total amount/charges be y

let the number of musics be x

For members total

y=48+0.99x-------1

For non-members total

y=1.29x-------------2

we are expected to solve for the number of music where members and non members get to pay the same amount

equating 1 and 2 we have

48+0.99x=1.29x

48=1.29x-0.99x

48= 0.3x

x=48/0.3

x=160 musics

Answer:

The slope of F = 5.

Not 100% sure.

Answer

all of it

Step-by-step explanation:

Answer:

one bucket/all of it

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the total cost be c

let the number of events be x

the linear model is

c=3x+8

therefore for 1 event

c=3(1)+8

c=3+8

c=11

=$11

therefore for 5 events

c=3(5)+8

c=15+8

c=23

=$23

The range is between $11 to $23

Answer:

x=8

Step-by-step explanation:

8 times 8 equals 64

Answer:

(2x - 9)(2x + 9)

Step-by-step explanation:

4x^2 - 81 = (2x - 9)(2x + 9)

Answer:

(2x+9)(2x-9)

Step-by-step explanation:

kind of simple actually

4x^2-81=(2x+9)(2x-9)

Answer: The last one.... -9

hope this helped :>

Answer:

1/25

Step-by-step explanation:

I worked out the equation!

Answer:

the answer is 45 if its is what you need

Step-by-step explanation:

i got 100 on test and had that question

Answer:

+29

Step-by-step explanation:

(-)(-)=+

Answer:

20%

Step-by-step explanation:

The dollar amount of the discount is $32.00 - $25.60 = $6.40

Now we need to find what percent of $32.00 is $6.40.

To find what percent a part is from a whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

part = $6.40

whole = $32.00

percent = $6.40/$32.00 * 100%

percent = 20%

Answer:

x≤2

Step-by-step explanation:

The answer to 5x-6≤2+(3x-4)

Happy Halloween!

Answer:

[tex]f(x) = 144[/tex]

Step-by-step explanation:

This problem deals with a function. All this question is asking is to plug in -4 every time an x appears.

So, let's do that:

[tex]f(-4) = 10(-4)^{2} + 3(-4) - 4[/tex]

[tex]f(-4) = 10(16) - 12 - 4[/tex]

[tex]f(-4) = 160 - 16[/tex]

[tex]f(-4) = 144[/tex]

Answer:

132

Step-by-step explanation:

The average rate of change over a function can be given by: f(b)-f(a)/b-a. Where b is the second part of the interval and a is the first part.

y = 6x^3-6x^2-8

____

x = 2

6(2)^3-6(2)^2-8

6(8)-6(4)-8

48-24-8

24-8

16

____

x = 4

6(4)^3-6(4)^2-8

384-96-8

288-8

280

_____

280-16/4-2 = 264/2 = 132

Answer:

I am pretty sure it's a

I hope this helps

Answer:

1.22

Step-by-step explanation:

9.76/8

Answer:

22.55 ft of wood is what mr. webb will have left

Answer:

a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.

b)Angle BXC = 70⁰

Step-by-step explanation:

b) Since XB = XC, triangle BXC is therefore an isosceles triangle.

Angle XBC = Angle XCB

Sum of interior angles of a triangle = 180⁰

55⁰ + 55⁰ + Angle BXC = 180⁰

110⁰ + Angle BXC = 180⁰

Angle BXC = 180⁰- 110⁰

= 70⁰

Answer:

24

Step-by-step explanation:

18/24=0.75

Hope this helps!

Answer:

If d is zero, both roots are rational and equal.

Step-by-step explanation:

Quadratic Equations

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The discriminant is defined as:

[tex]d=b^2-4ac[/tex]

The sign of the discriminant defines the nature of the roots of the quadratic equation as follows:

Answer:

1. m = -3, b = 4

2. m = 0, b = 7

3. m = -1.5, b = -4

4. m = 3, b = 0

5. m = 1.5, b = -7

Image is too blurred.

Try taking another one.

Answer:

Step-by-step explanation:

I will be using all caps for variables

Solve for L

V = LWH

/ WH  /WH

V/WH = L

Solve for H

V = LWH

/LW  /LW

V/LW = H

Answer:

-8

Step-by-step explanation:

lere