I don't understand how to do this section of this worksheet. Can someone help me understand how to get the answer? I have a test tomorrow and I can't fail it.

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:

45%, 9/20, etc.

Step-by-step explanation:

Well, if it is 27 out of the 60, then you can divide each by 3 to get 9/20. Then, you multiply both by 5, and get 45/100. Therefore, the probability is 45% or 9/20, however you put it.

Answer:

1 3/5 miles

Step-by-step explanation:

7 4/5 - 6 1/5

= 7 - 16+ (4/5 - 1/5)

= 1 + 3/5

= 1 3/5

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:

The cosine function that can model this real-world scenario is:
f(x) = -106cos (4x) + 106. See how the same is derived below. The full question is also attached.

A Cosine Function is a periodic function that is denoted as Cos x. See the attached image.

The above function is derived as follows:

T = 2π/4 = π/2 = 2π/ω

Therefore, ω = 2π/π/2 = 4

This means f(x)= -106 cos (4x) + 106

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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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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 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

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: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:

y = 2x – 1

Step-by-step explanation:

When x=0, y = -1

When y=0, x = 0.5

Answer:

[tex]11\frac{3}{8}[/tex]

Answer:

Step-by-step explanation:

Answer:

I got 0.12 edited*

Step-by-step explanation:

Answer:  

D) 0.12

Step-by-step explanation:

The max value is 100%.

Add .71 + .17 = .88

Lets change .88 to 88.

100 - 88 = 12

make 12 a decimal.

0.12

Answer:

No picture is displayed

Answer:

Answer is D. angle DGF and AGC

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

Answer:

A. [tex]\frac{14}{200}[/tex]

Step-by-step explanation:

There are 200 people in total to choose from, and only 14 of them are 6' and male.

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!

Step-by-step explanation:

[tex]f(x) = {x}^{3} + 6 {x}^{2} + 5x + 12[/tex]

x intercept = -1, 3 and 4

y intercept = 12

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°

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:

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

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