A. ASA
B. CPCTC
C. AAS
D. SAS

Answer:

8.48

Step-by-step explanation:

After removing the perfect square inside √72 we get,

6√2

The given square root is,

√72

Since we know that,

A perfect square is a number that is stated as the product of an integer multiplied by itself. The perfect square is also represented as the second exponent of an integer since the same number is multiplied twice. The squares of all integers are hence referred to as perfect squares.

Simplify the square root of 72.

Factor 72 into 36 and 2,

Giving us the square root of 36 times the square root of 2.

Therefore,

√72 = √36 x √2

We know that the square root of 36 is 6,

So we can substitute that in:

√72 = 6 x √2

Hence after removing the perfect square inside √72 we get,

6√2.

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Answer:

A. 322 mm^2

Step-by-step explanation:

First split the shape into two (a rectangle and a triangle).

Then calculate the area of those shapes.

Rectangle: 20 x 14 =  280 mm^2

Triangle: 6 x 14 / 2 = 42 mm^2

Add them together.

280 + 42 = 322 mm^2

Answer:

the answer must be A as it is the closest, i think its a computer error

Answer:

if the answer wasn't A i would try B since its the next closest answer

Step-by-step explanation:

Answer:

-7 is a Negative Number, which is also an integer.

Step-by-step explanation:

Negative numbers are any number less than 0. The greater a negative number is, is the smaller its value.

Answer:

17/7

Step-by-step explanation:

the ratio would be 51/21 then to simplify divide both numbers by 3 to get 17/7

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{17}{7} }[/tex]

Given ratio of 51 boys to 21 girls:

Write as a ratio:

[tex]51 : 21[/tex]

Divide both terms by GCF, or 3:

[tex]\frac{51}{3} : \frac{21}{3}[/tex]

[tex]17 : 7[/tex] or [tex]\frac{17}{7}[/tex]

Therefore, the ratio is 17 boys to 7 girls, or   [tex]\boxed {\frac{17}{7}}[/tex]

Answer:

Side DA

Step-by-step explanation:

The point A has coordinates of (-2,6) and the point D has coordinates of (-2,-4). Since both points have the same x-coordinate, we can subtract point A's y-coordinate from point D's y-coordinate.

6 - ( -4) = 10 (Basically adding 4 to six since the 2 minus signs make a plus sign)

That's your answer!

Hope that helps and maybe earns a brainliest!

Have a great day! :)

The side of the quadrilateral ABCD has a length equal to 10 is AD.

Distance is the amount of space between two points. The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The coordinate of vertex A = (-2, 6) while for D is D(-2, -4). Hence:

[tex]AD=\sqrt{(-4-6)^2+(-2-(-2))^2}=10\ units[/tex]

The side of the quadrilateral ABCD has a length equal to 10 is AD.

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Answer:

The answer will be y=2x-1

Step-by-step explanation:

With the graph we are able to use the formula rise/run, which means we count down from the top point, and then over, and then divide.

Going down is 4 points, and over is 2.

4/2 is 2.

This leaves us with two answers. With this information, we look at the direction the graph is going, it is going upwards, making it positive. Which means that your answer is the first one. Plus the line goes through -1.

Thank you, if you need any more help let me know.

1/2 + 4 ≤ 16

four more = +4

half a number = 1/2

at most means less or greater which is ≤

Answer:

0.5n + 4 ≤ 16

Step-by-step explanation:

add 4 to half of the unknown number (n). It is at most 16 (less than or equal to).

0.5n + 4 ≤ 16

Answer: All options are in slope-intercept form

i hope this helps .

Step-by-step explanation:

1.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=-\frac{8}{7}x-\frac{3}{2}\\[/tex]

2.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=\frac{7}{8}x-\frac{3}{2}[/tex]

3.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{7}{8}x-\frac{3}{2}[/tex]

4.

[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{3}{2}x+\frac{7}{8}\\[/tex]

Answer:

Width: 4

Length: 6

Step-by-step explanation:

We can create a systems of equations for this problem, assuming W is width and L is length.

W = 3L-14

WL = 24

We can substitute W into the equation.

(3L-14)L = 24

3L²-14L = 24

3L² - 14L - 24 = 0

(3L+4)(L-6)=0

L = 6

Now we can find W by substituting L into the equation.

[tex]6\cdotw=24\\w = 4[/tex]

Hope this helped!

Answer:

  all real numbers

Step-by-step explanation:

The function f(x) = 3|x +4| +1 is defined for all values of x. Its domain is all real numbers.

Answer:

Option (B)

Step-by-step explanation:

To calculate the distance between C2 and SW1 we will use the formula of distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

d = [tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }[/tex]

Coordinates representing positions of C2 and SW1 are (2, 2) and (-6, -7) respectively.

By substituting these coordinates in the formula,

Distance between these points = [tex]\sqrt{(-6-2)^2+(-7-2)^2}[/tex]

                                                     = [tex]\sqrt{(64)+(81)}[/tex]

                                                     = [tex]\sqrt{145}[/tex] units

Therefore, Option (B) will be the correct option.

Answer:

3-5: 3+(-5) and -5+3

5-3: 5+(-3) and -3+5

Step-by-step explanation:

3+(-5) is 3 plus -5 which is simplified into 3-5

-5+3 can be rearranged to make 3-5

5+(-3) is 5 plus -3 which is simplified into 5-3

-3+5 can be rearranged to make 5-3

Answer:

b=5

Step-by-step explanation:

10 = -2b + 4b

Combine like terms

10 = 2b

Divide each side by 2

10/2 = 2b/2

5 = b

[tex]\huge\boxed{\underline{\bf \: Answer}}[/tex]

[tex] \sf \: 10 = - 2b + 4b \\ \sf \: 10 = 2b \\ \sf \: \frac{10}{2} = b \\ \sf \: 5 = b[/tex]

The value of b is [tex]\boxed{\underline{\bf \: 5}}[/tex]

Hope it helps.

RainbowSalt2222

Answer:

yes the apples are porportinal

Step-by-step explanation:

Answer:

apple is proportional

Step-by-step explanation:

Answer:

64 cm^2

Step-by-step explanation:

I assume the side of the base measures 4 cm, and the height of each triangular side (the slant height) is 6 cm.

SA = s^2 + 4 * bh/2

SA = (4 cm)^2 + 2(4 cm)(6 cm)

SA = 16 cm^2 + 48 cm^2

SA = 64 cm^2

Let's think about the square root of 33 here for a second.

What two perfect squares surround 33?

The answer is 25 and 36.

Then, let's take the square root of both 25 and 36, which are 5 and 6. Therefore, since the square root of 25 and 36 are both nearest to the square root of 33, then the square root of 3 must be between 5 and 6.

The correct answer is A (or option 1): 5 < root 33 < 6

Hope this helps! :)

Answer:

a (the first choice)

Step-by-step explanation:

To start, you should think of square root values near 33 that you know the answer to. For example, the square root of 25 is 5, and the square root of 36 is 6. Therefore, you know that the square root of 33 is 5.something because it is in between 25 and 36.

Answer:

6

Step-by-step explanation:

18 silly bands / 6 children = 3 silly bands per child.

2 children * 3 bands each = 6 bands total

Answer:

6 silly bands

Step-by-step explanation:

18 divided by 6 = 3  , so each child gets 3 so 3 + 3 is 6 which means 6 silly bands are in the drawer

Answer:

is there an image of the frequency table attached? whats the question

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

We are going to a small shape from a big shape, so the scale factor must be less than 1.

3 (which is a side on the blue figure) and 9 (a side on the green figure)

3 and 9 are easy numbers (for me...) so 3:9 is smaller than 1.

3:9 simplified is 1:3 = 1/3

so 1/3 is the scale factor.

Let's make sure it's right....

9 * 1/3 (green figure to blue figure) is = 3.

3.6 * 1/3 = 1.2

you can check it yourself on a calculator if you don't believe me

I hope this helps have a great day!!!!

Answer:

x = 11

BC = 23

AD = 29

EF = 26

Step-by-step explanation:

Given:

Trapezoid ABCD, having,

median = EF = 4x - 18

base BC = x + 12

base AD = 3x - 4

Required:

Part I: value of x

Part II: Length of BC, AD, and EF.

Solution:

Part I: Value of X

The median length of a trapezoid is said to be the ½ of the sum of the 2 bases of the trapezoid.

Therefore, EF = ½(BC + AD)

4x - 18 = ½((x + 12) + (3x - 4)

4x - 18 = ½(x + 12 + 3x - 4)

4x - 18 = ½(x + 3x +12 - 4)

4x - 18 = ½(4x + 8)

Multiply 2 by both sides

2(4x - 18) = 4x + 8

8x - 36 = 4x + 8

Add 36 to both sides

8x - 36 + 36 = 4x + 8 + 36

8x = 4x + 44

Subtract 4x from both sides

8x - 4x = 4x + 44 - 4x

4x = 44

Divide both sides by 4

x = 11

Part II:

BC = x + 12 = 11 + 12 = 23

AD = 3x - 4 = 3(11) - 4 = 33 - 4 = 29

EF = 4x - 18 = 4(11) - 18 = 44 - 18 = 26

A equation representing the area Bruce covered, y, in terms of the number of tiles he used x is y = 4x

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation

According to the question

The area Bruce covered  shows by y axis

The number of tiles he used is x axis .

The tiles Bruce used is 1/4 of a square foot in area .

Therefore,

Area of tiles in square foot = 4 number of titles

                                             = 4x

now,

Equation will be :

y = 4x

Hence, A equation representing the area Bruce covered, y, in terms of the number of tiles he used x is y = 4x

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1.) 2a - 4b + 3ab -5a + 2b

= 3ab -3a -2b

2.) 4(2x+1)-3x

= 8x+4 -3x

= 5x + 4

3.) 4(p-5) +3(p+1)

= 4p-20 + 3p+3

= 7p -17

4.) 6(p+3q) - (7 + 4q)

= 6p+18q -7 -4q

= 6p + 14q -7

5.) 4rs -2s -3(rs +1) -2s

= 4rs -4s -3rs -3

= rs -4s - 3

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Answer:

Step-by-step explanation:

405÷180=2×180+45,45°

750=180×4+30,30°

-210+180=-30,30°

495÷180=2×180+135,180-135=45°

-660°+360=-300°+360=60,60°

480-360=120,180-120=60,60°

Answer:

Each column will be the same height.

Step-by-step explanation:

Mode refers to the most occurring number, and there are five within a data set that is 4 wide, so there will be 5 columns of equal length.

Answer:

[tex]Average\ Rate = 10[/tex]

Step-by-step explanation:

Given

[tex]g(x) = -x^2[/tex]

[tex](-8,-2)[/tex]

Required

Determine the average rate of change;

Average rate of change is calculated as thus;

[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex]

Where

[tex](a,b) = (-8,-2)[/tex]

i.e. a = -8 and b = -2

[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex] becomes

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 - (-8)}[/tex]

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 + 8}[/tex]

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]

Calculating g(-2)

Substitute -2 for x in [tex]g(x) = -x^2[/tex]

[tex]g(-2) = -(-2)^2[/tex]

[tex]g(-2) = -4[/tex]

Calculating g(-8)

Substitute -8 for x in [tex]g(x) = -x^2[/tex]

[tex]g(-8) = -(-8)^2[/tex]

[tex]g(-8) = -64[/tex]

Substitute values for g(-2) and g(-8)

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]

[tex]Average\ Rate = \frac{-4 - (-64)}{6}[/tex]

[tex]Average\ Rate = \frac{-4 + 64}{6}[/tex]

[tex]Average\ Rate = \frac{60}{6}[/tex]

[tex]Average\ Rate = 10[/tex]

Hence, the average rate of change is 10

Answer: 1 quarter, 1 dime and 1 nickel.

Step-by-step explanation:

Quarter: 25 cents.

Dime: 10 cents

Nickel: 5 cents

25 + 10 = 35

35 + 5 = 40

Answer: 25 (1 quarter), 10 (1 dime), 5 (1 nickel) is 0.40 cents when all three numbers are summed up.

Cathy worked a total of 160 + 4 + 2 = 166 hours in a fortnight.

So the answer is 166

Here is the calculation:

Cathy's basic pay for the fortnight is 7.2 × 70 = $504.

Her overtime pay for the week is (1.5 × 7.2) × 9 = $97.2.

Her weekend pay is (2 × 7.2) × 6 = $86.4.

Her total pay for the fortnight is 504 + 97.2 + 86.4 = $687.6.

Therefore, Cathy worked a total of 160 + 4 + 2 = 166 hours in a fortnight.

So the answer is 166

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