ABC and AED are straight lines.
BE and CD are parallel.
A
B
AD = 10.5 cm
AE = 4.2 cm
BE = 2.9 cm
a) Work out length CD.
AC = 8.75 cm
b) Work out length BC.

Answer:

8x+6y

Step-by-step explanation:

Combine like terms:

12x-4x=8x

+11y-5y=6y (because 11 is the bigger number and 5 is smaller, the answer is positive [+])

Answer:

8x + 6y

Step-by-step explanation:

1) Rearrange terms and combine like terms:

12x + 11y - 4x - 5y —> 12x - 4x +11y - 5y

2.Simplify (aka add/subtract like terms)

12x - 4x +11y - 5y

- 12x - 4x = 8x

- 11y - 5y = 6y

= 8x + 6y

Hence, 8x + 6y is your answer :)

Answer: x>38

Step-by-step explanation:

By the exterior angle theorem, x=39+38=77.

Answer:

Step-by-step explanation:

1 1/2 x 4 1/2

2x1=2 2+1=3

3/2

2x4=8 8+1=9

9/2

3/2 x 9/2=

3x9=45

2x2=4

45/4

The computation of the equation shows that the extra data that will be used to have the same amount will be 5 gigabytes.

Let the amount of extra data used be represented by x.

Plan 1 = 35 + (5 × x) = 35 + 5x

Plan 2 = 50 + (2 × x) = 50 + 2x

35 + 5x = 50 + 2x

Collect like terms

5x - 2x = 50 - 35

3x = 15

x = 15/3 = 5

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Answer:

6 hours

Step-by-step explanation:

Divide 3300 by 550, so it's 6.

Answer:

A

Step-by-step explanation:

From inspection of the graph:

[tex]\dfrac{a}{b}=\dfrac36=\dfrac12[/tex]

[tex]\dfrac{c}{d}=\dfrac24=\dfrac12[/tex]

[tex]\dfrac{d}{c}=\dfrac42=2[/tex]

[tex]ab=3 \cdot 6 = 18[/tex]

[tex]cd=2 \cdot 4 = 8[/tex]

[tex]a+b=3+6=9[/tex]

[tex]c+d=2+4=6[/tex]

Therefore, the only expressions that are equal are:

[tex]\implies \dfrac{a}{b}=\dfrac{c}{d}[/tex]

Answer:

[tex]m_{perpendicular}[/tex] = [tex]\frac{1}{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

y + 2x = 2 ( subtract 2x from both sides )

y = - 2x + 2 ← in slope- intercept form

with slope m = - 2

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}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

​x​³ + 9x² + 16x - 6

Step-by-step explanation:

First, you have to multiply x + 3 with x² + 6x - 2.

(x + 3)(x² + 6x - 2)

You will get:

x · x² = x³

x · 6x = 6x²

x · -2 = -2x

3 · x² = 3x²

3 · 6x = 18x

3 · -2 = -6

When you combine these, you get:

x³ + 6x² - 2x + 3x² + 18x - 6

Add them up to get your answer,

x​³ + 9x² + 16x - 6.

Hope this helps!

Answer:

8 miles

Step-by-step explanation:

In an hour there is 60 minutes. 15 minutes x 4 = 60 minutes

So multiply 1 mile for 4 to get 4 miles

Matt would walk 4 miles in 1 hour

Mutiply 4 by 2 to get the distance Matt would walk in 2 hours which would be 8 miles.

Answer:

Matt would walk 8 miles in to hours.

Step-by-step explanation:

15 minutes is 1/4 of an hour, meaning it would be 1/8 of 2 hours.

1 mile times 8 = 8 miles

Hope that helps!

Step-by-step explanation:

the average change rate of a function f(x) in an interval [x1 .. x2] is

(f(x2) - f(x1)) / (x2 - x1)

in our case that is

(7000 - 2500) / (20 - 0) = 4500 / 20 = 225

the population changed in average by 225 people per year from 1900 to 1920.

Answer:

Must not have more than ONE "=" sign in an equation like this one.

9 is less than x is -1

I will take the liberty of deleting the first "is" and then write out the expression:

9 less than x is -1, or     x-9 = -1

Add 9 to both sides to determine the value of x:  x = 8 (answer)

Step-by-step explanation:

Answer: x-9=-1

(they deleted my answer 4 some reason : /)

Step-by-step explanation:

A number line is a representation of a graded straight line. The number √128  will lie between 11.3 and 11.4.

A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are represented by the letter R. A real number is considered to correspond to every point on a number line, and a point to every real number.

In order to know the location of the √128, we need to write the number  √128 in decimal form, therefore, the value of √128 can be written as,

[tex]\sqrt{128} = 11.3137 \approx 11.31[/tex]

Now, on the number line if we plot √128 we will see that it will lie between 11.3 and 11.4, as shown below.

Hence, the number √128  will lie between 11.3 and 11.4.

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The circumference of a circle is the same as the perimeter of the circle.

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The circumference of a circle is the same as the perimeter of the circle. It is given by:

Circumference = 2π × radius = π * diameter

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Answer:

79 (first blank)

131 (second blank)

157 (last blank)

Step-by-step explanation:

92-13 to get the first blank, and you get 79.

118+13 to get the second blank, and you get 131.

144+13 to get the last blank and you get 157.

----------------------------------------------------------------------------------------------------------

Check your work:

79+13=92

92+13=105

105+13=118

118+13=131

131+13=144

144+13=157

----------------------------------------------------------------------------------------------------------

I hope this helps!

-No one

Step-by-step explanation:

89 131 157 this is the answer

Considering the vertex of the quadratic equation, it is found that the scuba diver reaches maximum depth after 6 seconds.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the depth is given by:

D(x) = -x² + 12x + 4.

Which means that the coefficients are a = -1, b = 12, c = 4, hence:

[tex]x_v = -\frac{b}{2a} = -\frac{12}{-2} = 6[/tex]

The scuba diver reaches maximum depth after 6 seconds.

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After 23 years $125.32 will be matured to $46,683.28.

The formula for Recurring maturity is given by:

[tex]A=Pn +\frac{ P*n*(n+1)}{24} *\frac{r}{100}[/tex]

Where A=matured amount

P =Principal value

n=Number of months

r=Interest rate(annual)

We have P= $125.32

n=23*12 = 276 months

r=2.5*12 =30%

Put these values in the above formula

we get A= $46,683.28

Therefore, After 23 years $125.32 will be matured to $46,683.28.

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Answer:

(B (4, 7 ) = (1, 12 )

Step-by-step explanation:

given

B (x, y ) = (x - 3, y + 5 ) , then

B (4, 7 ) = (4 - 3, 7 + 5 ) = (1, 12 )

Answer:

[tex]( {x}^{2} - 2x)(2x + 3) \\ \\ ( {x}^{2} )(2x) + ( {x}^{2} )(3) + ( - 2x)(2x) + ( - 2x)(3) \\ \\ = 2 {x}^{3} + 3 {x}^{2} - 4 {x}^{2} - 6x \\ \\ = 2 {x}^{3} - {x}^{2} - 6x[/tex]

The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.

From the diagram, each side is called the side length. Therefore,

If the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.

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Answer:

R

Step-by-step explanation:

If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.

Hope this helped <3 Brainliest please :)

A rectangular prism with a height of 6 centimeters would have a volume of 138 cubic centimeters.

Given the following data:

Base area = 23 [tex]cm^2[/tex]

Height = 6 centimeters.

Mathematically, the volume of a rectangular prism is given by this formula:

[tex]V = B \times H[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]V = 23 \times 6[/tex]

V = 138 cubic centimeters.

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Answer:

  6.03 years

Step-by-step explanation:

The value of the Range Rover decreases 25% per year, so its value "growth" factor is 1-25% = 0.75. The initial value is 60,000, so its exponential value function can be written ...

  r(x) = 60000(0.75^x)

The Honda has a "growth" factor of 18000/20000 = 0.90 and an initial value of 20,000, so its exponential value function can be written ...

  h(x) = 20000(0.90^x)

__

We want to find x such that h(x) > r(x).

  20000(0.90^x) > 60000(0.75^x)

  0.90^x > 3(0.75^x) . . . . . . . divide by 20000

  (0.90/0.75)^x > 3 . . . . . . . . divide by 0.75^x

  x > log(3)/log(1.2) . . . . . . . . take logs, divide by log(1.2)

  x > 6.025685

It will take about 6.03 years for the Honda to be worth more.

Answer:

4

Step-by-step explanation:

4th one is the answer because 5 is an outlier in the set of data

Answer:

Option 4

Step-by-step explanation:

Answer:

64 units squared

Step-by-step explanation:

If you put the points on a graph you can see the shape is a trapezoid. The left and right sides are the bases, the bottom is the height. The area formula is to average the bases and times by the height. see image. You could do a lot of distance formula and slope calculations, but on the graph you can count the squares to find side lengths.

Add the two ends together and divide by 2:

50 + 60 = 110

110/2 = 55

The midpoint is 55

Answer:

55

Step-by-step explanation:

To find the midpoint, add the two endpoints and divide by 2

(50+60)/2

110/2

55

The midpoint is 55

Answer:

$12

Step-by-step explanation:

3/7 of 56 = 24 hats  

24 x $3.5 = $84

The remaining hats 56-24 =32 hats

HALF of 32 =16hats

    16x$3 =$48

$84 + $48 = $132

  But he spent $120

The profit Ravi made = 132-120 = $12

The area of the kite is the amount of space it occupies

The area of the assumed kite is 25 square units

The question is incomplete, as the dimensions of the kites are not given.

So, I will provide a general explanation

The area of a kite is:

Area = 0.5pq

Where p and q are the lengths of the diagonals of the kite.

Assume that p = 5 and q = 10, for a kite.

The equation becomes

Area = 0.5 * 5 * 10

Evaluate

Area = 25

Hence, the area of the assumed kite is 25 square units

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The dimensions of the reduced rectangle are 5(length) and 4(width).

The original length of the rectangle= 20

The original width of the rectangle=16

It is the factor by which the size or dimension of an object is dilated.

Reduced length/Original length = 0.25

Reduced length = 0.25 * original length

Reduced length = 0.25 * 20

Reduced length = 5

Reduced width/Original width = 0.25

Reduced width = 0.25 * original width

Reduced width = 0.25 * 16

Reduced width = 4

Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).

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The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.

A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.

From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.

Thus, we would compute the amount of money spent by Noel as follows:

Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)

Noel = 2.00 + 2.38 + 2.44 + 4.17

Noel = $10.99.

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Answer (assuming that the shape is a right triangle):

If looking for the hypotenuse: 21.63

If looking for one leg, given other leg is 12, and the hypotenuse is 18: 13.42

Step-by-step explanation:

Given the length of two sides of a right triangle, we can use the pythagorean theorem to find the length of the third side. The pythagorean theorem is [tex]a^{2} + b^{2} = c^{2}[/tex] or [tex]c=\sqrt{(a^{2} + b^{2})}[/tex]. Given this question, I do not know what side of the triangle the problem is looking for, I would assume the hypotenuse, so let's do that first.

[tex]c = \sqrt{(12^{2} +18^{2})} \\c = \sqrt{468} \\c = 21.63[/tex]

Or we can manipulate the equation to find different scenarios of possible legs. Such equation that can be used is [tex]a = \sqrt{c^2 - b^2}[/tex], where c is the hypotenuse.

Only one scenario is possible, with the hypotenuse being 18 because the hypotenuse cannot be less than one of the legs, or that leg basically becomes the hypotenuse because such side is the largest (12 < 18).

So our last scenario is, if we are looking for one leg, given other leg is 12, and the hypotenuse is 18.

[tex]a = \sqrt{18^2-12^2} \\a = \sqrt{180} \\a = 13.42[/tex]

These are our possible answers.