Which graph shows the effect of changing the slope of the line
y = 1/2x - 3 to 2?

Picture linked below if you want

Answer:

C= 65.5°

D= 114.1°

Step-by-step explanation:

5x - 6 + 7x +14 = 180

5x + 7x + 14 - 6 = 180

12x + 8 = 180

- 8 - 8

12x = 180

12x/12 = 180/12

x = 14.3

C= 5x - 6

5(14.3)-6

71.5 - 6

C=65.5°

D= 7x + 14

7(14.3) + 14

100.1 + 14

D= 114.1°

65.5 + 114.1 = 179.6°

When this is rounded up, you will get 180°

Hope this helps!

Answer:

Alternate Interior

∠3 and ∠6

Alternate Exterior

∠2 and ∠7

Corresponding

∠1 and ∠5

I hoped this helped :)

Answer:

Answer is D. angle DGF and AGC

Hi ! Dude

Answer:

20 is the correct answer

Step-by-step explanation:

After reading question we can understand that we have to find the value of expression by plugin the value of a .

[tex] \qquad \: \rightarrow 32 - 4a [/tex]

Plugin value of a ,

[tex] \qquad \:\rightarrow \: 32 - 4(3)[/tex]

[tex]\qquad \: \rightarrow \: 32 - 12[/tex]

[tex]\qquad \: \rightarrow \: \underline{ \underline{20}}[/tex]

Hence , 20 is the answer .

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Evaluate the expression for a=3

32-4a

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Provided Information:-

To Find:-

In order to do that, we should

 [tex]\tt{32-4(3)}[/tex]

Multiply:-

[tex]\tt{32-12}[/tex]

Subtract:-

[tex]\dashrightarrow\bigstar\boxed{\boxed{\underline{\bold{20}}}}\dashleftarrow[/tex]

So our final solution is 20.

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In this distribution, the shape that describes the temperature data is left-skewed distribution.

left-skewed distribution serves as a type of more values on the right side (tail) of the distribution graph .

Therefore, From the graph, majority of the data is to the right of the graph which is a left-skewed distribution.

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Answer:

B) left-skewed

Step-by-step explanation:

The solution is, x_1 = -2 + 2√3 and, x_2 = -2 - 2√3, are solutions to the equation below.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

1) Since we've been given the equation x²+4x +4=12 then let's solve it to find the roots

2) Applying the resolutive formula

x²+4x +4=12

x²+4x +4-12 =0

x²+4x -8=0

now, we know, here,

D = b² - 4ac

so, solving we get,

D = 48

Now, the roots are,

x = -b ± √D / 2a

so, here, we get,

x_1 = -2 + 2√3

x_2 = -2 - 2√3

Hence, The solution is, x_1 = -2 + 2√3 and, x_2 = -2 - 2√3, are solutions to the equation below.

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The considered fraction is ationalized by multiplying the numerator and denominator by the expression as given by: Option A: √7 + 2

Suppose the given fraction is [tex]\dfrac{a}{b+c}[/tex]

Then the conjugate of the denominator is given by b - c

Thus, rationalizing the fraction will give us

[tex]\dfrac{a}{b+c} \times \dfrac{b-c}{b-c} = \dfrac{a(b-c)}{b^2 - c^2}[/tex]

(we used the identity [tex](b-c)(b+c) = b^2 - c^2[/tex])

We actually rationalize just for the use of that later denominator or numerator(if they seem to be helpful).

Remember that

[tex]\dfrac{b-c}{b-c} = 1[/tex]

thus, multiplying it with the fraction doesn't change its value, and just change the way how it looks. We assume that b-c is not 0

For this case, the given fraction is:

[tex]\dfrac{5}{\sqrt{7} - 2}[/tex]

Thus, here we will multiply the denominator with [tex]\sqrt{7} + 2[/tex] so that we can use the identity [tex](b-c)(b+c) = b^2 - c^2[/tex].

Thus, we get:

[tex]\dfrac{5}{\sqrt{7} - 2} \times \dfrac{\sqrt{7} + 2}{\sqrt{7} + 2} = \dfrac{5(\sqrt{7} + 2)}{(\sqrt{7})^2 - 2^2} = \dfrac{5(\sqrt{7} + 2)}{3}[/tex]

See, the denominator now looks a bit better. We try to make it look smooth and simplified because division is more complex than multiplication, so its better to have square root term in numerator than in denominator.

Thus, the considered fraction is ationalized by multiplying the numerator and denominator by the expression as given by: Option A: √7 + 2

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Answer:

It would be A because the probability is above 0 percent however it is below 50 percent which is 0 and 0.5 in the question.

Step-by-step explanation:

Answer:70,470 dollars

Step-by-step explanation:

Answer:

$3 per square foot

Step-by-step explanation:

Find the area of all the surfaces around the rectangle, by multiplying length times width of each side.

Then add all of the answers together and divide by how much the wallpaper cost by square foot, which would be 522/174 which equals 3.

Answer:

Step-by-step explanation:

Answer:

x = 1

y = -2

Step-by-step explanation:

adding both quation we get

3x -2y + x + 2y =7 + -3

4x = 4

x = 1

substituting this equation in the earlier equation we get

3 * 1 -2y = 7

3 - 2y = 7

-2y = 4

y = -2

Answer:

34 inches.

Step-by-step explanation:

In order to ger perimeter you need to find the value of all sides. We know one side is 9 inches. To find the other side length you divide the area by the side length (72/9=8). This is because the formula for area is length times width. To find permiter you add all the side lengths together. A rectangle has 4 sides, so you would do 9+9+8+8

The statement that is true based on the Pythagorean identities is  cotangent-squared of theta - cosecant-squared of theta = -1.

Note that cotangent-squared of theta - cosecant-squared of theta = -1. is tru because it is the only equation that is correct.

So therefore,  cotangent-squared of theta - cosecant-squared of theta = -1.

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Answer:

BCE

Step-by-step explanation:

edg

Answer:

Step-by-step explanation:

Answer:

No picture is displayed

Answer: 121 kilometers

Step-by-step explanation:

14.99 + .80x (-14.99) = 111.79 (-14.99)

.80x  (/.80) = 96.8 (/.80)

x = 121

The triangle ACD is the right angle since it is a triangle in a semicircle. The length of AC from the diagram is 21.9feet

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

From the given circle, the triangle ACD is right angle since it is a triangle in a semicircle

Given the following

Hypotenuse = 26 feet = CD
Base side = AD = 14ft

Required

Length AC

Use the theorem

26^2 = 14^2 + AC^2

AC^2 =  676 - 196
AC^2 = 480
AC = 21.9feet

Hence the length of AC  is 21.9feet

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Answer:

1:3

Step-by-step explanation:

9:3=3

3.6:1.2=3

A is 3 times greater than B. It means that the scale factor from A to B is 1:3

The amount of time it would will it take him to achieve his goal is B. $5,136; approximately 24 months.

This refers to the emergency funds that are set aside for situations that were not initially budgeted for.

Hence, because Sammy makes about $2,362/month

Rent, car insurance $1,292

Basic groceries, telephone $420

Snack items $260

Annual Savings $130

Annual emergency savings $210

5 years of vacation savings $50

Total= $2,362

Using Sammy's method of putting these budgets into separate checking accounts, the amount which Sammy needs to save to have x3 of his living expenses and the length of time it would take is $5,136; approximately 24 months.

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Answer:

Your answer Exterior C is 160°

Interior C is 20°

Step-by-step explanation:

<A + <B + <C = 180°

<Left C + <Right C = 180°

<A + <B = <Right C

(5x - 10)° + 12x° = 16x

17x - 10 = 16x

x = 10

<A = 5x - 10

<A = 5*10 - 10

<A = 50 - 10 = 40°

<B = 12x

<B = 12*10

<B = 120°

<A + <B = <Right C.

40° + 120° = 160°

Answer:

y = 2x – 1

Step-by-step explanation:

When x=0, y = -1

When y=0, x = 0.5

The two angles given are supplementary angles so when added together need to equal 180 degrees.

2x-1 + 4x+28 = 180

Simplify:

6x +27 = 180

Subtract 27 from both sides:

6x = 153

Divide both sides by 6:

x = 25.5

Answer:

720

Step-by-step explanation:

16=2^4

30=5*3*2

36=(2^2)*(3^2)

so

(2^4)*5*(3^2)=720

Answer:

x=6

Step-by-step explanation:

The inequality is saying that 4×x is more than 21

4×5 = 20 which is not more than 21

4×6 = 24 which is more than 21

Therefore the lowest integer solution to this is that x = 6

Answer:

[tex]4x > 21[/tex]

[tex]\cfrac{4x}{4} > \cfrac{21}{4}[/tex]

[tex]x > \cfrac{21}{4}[/tex]

I'd say no!

The answer: 3.15 ✅

Since the middle line between a farction is also division in some cases, divide forty-one by thirteen.

[tex]\frac{41}{13} = 3.15[/tex]

Answer:

3.15

Step-by-step explanation:

First you setup the problem for long division.

Like this: 41/--13 (cant really draw the thing)

After that you you solve it and get 3.15384+ which you round to 3.15 because it is the hundreth.