An angle measure 20 more than the measure of its supplementary angle.What is the measure of each angle?

Answer:

11.625 or mixed number form 11 [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

divide 46.5 by 4

Answer:

Total people = 240

Step-by-step explanation:

Let the total number of people by 'x'.

[tex]\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\[/tex]

[tex]\sf \text{Number of women =$\dfrac{1}{3}x$}[/tex]

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

[tex]\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\[/tex]

      [tex]x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\ \dfrac{5}{12}x=100\\[/tex]

          [tex]\sf x = 100*\dfrac{12}{5}\\[/tex]

          x = 20 * 12

          x = 240

Answer: An even number between 7 and 16 would be 10.

Step-by-step explanation: I am not sure how I am supposed to draw a picture of the number other than drawing the number itself. However, 10 is an even number because it is a composite number and is divisible by 2. 10 is an even number, not an odd number. Hope this helps!

The equation that represents the profit function is P(x) = 5x - 260

The given parameters are:

C(x) = 3x^2 - x + 200 --- cost function

R(x) = 3x^2 + 4x - 60 --- revenue function

The profit function is calculated as:

P(x) =R(x) - C(x)

This gives

P(x) = 3x^2 + 4x - 60 - 3x^2 + x - 200

Evaluate the like terms

P(x) = 5x - 260

Hence, the equation that represents the profit function is P(x) = 5x - 260

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Option (A) "A polygon has 7 sides. No angles go inside of the shape" is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

As we know, a convex heptagon is a polygon with seven sides, seven internal angles, and seven vertices, which means that a convex heptagon has seven sides.

A convex heptagon is a polygon that has 7 sides. No angles go inside of the shape.

Thus, option (A) "A polygon has 7 sides. No angles go inside of the shape" is correct.

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Answer: the first option

Step-by-step explanation:

Answer:

The length is 11ft.

The width is 8ft.

Step-by-step explanation:

Hello!

Perimeter of a rectangle: [tex]P = 2(l + w)[/tex]

We know that the length is 5 ft less than twice the width, which can be expressed by the equation: l = 2w - 5. We can plug in 38 for "P".

We can substitute the equation for l, and solve for the width.

The width is 8. We can solve for the length by plugging it back into the equation l = 2w - 5

The length is 11.

The dimensions are 11 ft and 8 ft.

Answer:

A=3

B=31

Step-by-step explanation:

A)5-2=3

b)

17-10=7

10-5=5

7-5=2

2×7=14

14+17=31

The newspaper that is actually the closest to the percentage of voters who support the governor's reelection is the tribune at 71%.

The sample size (n) is the total number of completed responses gathered from a survey sampling process.

From the given information, using the formula for standard error of a sample proportion:

=  √ [p (1-p) / n)]

Therefore, the sample size of the tribune has the greatest and closest estimate to the actual percentage of voters that supports the governor for reelection,

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The length of ribbon C is  37 feet.

The equation that can be used to determine the length of ribbon C is:

C = 34 + ( length of ribbon B - length of ribbon A)

C = 34 + (59 - 56)

C = 34 + 3

c = 37 feet

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Step-by-step explanation:

4(y+8)=9

for this sum first we need to multiply 4to y and 4 to 8

4y+32=9

then u need to -9 from both sides

4y=23

y=23/4

u will get the answer

3.75 quarts of paint does Argelis have left with her.

A unit of volume for measuring liquids. 1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces.

Here, we know that,

1 gallons = 4 quarts

so, 1/2 gallons = 1/2 X 4 = 2 quarts.

and 1/4 gallons = 1/4 X 4 = 1 quarts.

Now, total paint left with Argelis = 1/2 gallons + 3/4 quarts + 1/4 gallons

                                                     =  2 quarts + 3/4 quarts + 1 quarts

                                                    = 3 quarts + 3/4 quarts

                                                    = 15/4 quarts or 3.75 quarts

Thus, 3.75 quarts of paint does Argelis have left with her.

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Given the radius of the regular hexagon, its area is approximately 42in².

Hence, option B) is the correct answer.

Given that;

Since a regular hexagon can be divided into six equal triangle, we will determine the area of a single triangle and then multiply the area by 6 to get the area of the regular hexagon.

Angle of one triangle in the regular hexagon = 360°/6 = 60°.

To determine the height, we divide the triangle into two equal half, making a right angled triangle with hypotenuse 4in, Base 4in/2 = 2in.

We find the perpendicular height using Pythagoras theorem

h = √( (4)² - (2)² )

h = √( 16 - 4 )

h = √( 12 )

h = √( 2² × 3 )

h = 2√3

Now, we determine the area of a single triangle.

Area = (1/2) × base × height

Area = 0.5 × 4 × 2√3

Area = (4√3)in²

Now, to get the area of the regular hexagon, we multiply the area of the triangle by 6

Area of regular hexagon = 6 × (4√3)in²

Area of regular hexagon = 24(√3)in²

Area of regular hexagon = 41.57in² ≈ 42in²

Given the radius of the regular hexagon, its area is approximately 42in².

Hence, option B) is the correct answer.

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Answer: b

Step-by-step explanation:

The instructional activity to explain the conversion will be:

The lessons should include:

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The given inequality (8 - X ≥ 5(8 - x)) is solved using graphs method and the result is (Option A); that is x ≥ 8 Graph A.

The inequality is given as: 8-x≥5(8-x)

The next step algebraically is to open the brackets. Hence,

8-x ≥ 40 -5x

Next, we collect like terms

= -x+5x ≥ 40-8

= 4x ≥ 32

Make x the subject of the statement by dividing both sides with 4

= x ≥ 8


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Answer:

The symbol is a variable called x, which is a mathematical term used to substitute values in mostly linear and quadratic equations.

Answer:

a term.

Step-by-step explanation:

(I'm assuming you're asking about the underlined,)

therefore the 9x is a term

(top line)

the 9 is a coefficient

the x is a variable

5 is a constant

- (subtraction sign) is the operator.

9x - 5 is an expression

(bottom line)

the 3x is also a term

x is the variable

3 is a coefficient

4 is the constant

the + (addition sign) is the operator

3x + 4 is the expression.

the answer would be a constant and a term

hope this helps:)

Answer:

B

Step-by-step explanation:

Answer:

The tip should be $9.00

Step-by-step explanation:

Answer:

A. [tex]12x^{4} -4x^{3} +3x^{2} +3x+20[/tex]

Step-by-step explanation:

For this problem, we have to combine like terms.

Let's look at the equation:

[tex](12x^{4} -4x^{3} +7x+6)+(3x^{2} -4x+14)[/tex]

[tex]12x^{4[/tex], [tex]-4x^{3}[/tex], [tex]3x^{2}[/tex] do not have any other like terms, so we keep all in the final answer.

[tex]7x[/tex] and [tex]-4x[/tex] are like terms, so we combine them. [tex]7x-4x=3x[/tex]

14 and 6 are like terms, so we combine them. 14+6 = 20

Let's put everything into the final equation:

[tex]12x^{4} -4x^{3} +3x^{2} +3x+20[/tex]

So, the final answer is A. [tex]12x^{4} -4x^{3} +3x^{2} +3x+20[/tex]

Hope this helps! If you have any questions about my work, leave them in the comments below!

The expression is equal to 3sqrt(517)/5

1) If we let the lengths of the legs be x and 2x, then by the Pythagorean theorem,

[tex]x+2x+\sqrt{x^{2}+(2x)^{2}}=28\\3x+x\sqrt{5}=28\\x(3+\sqrt{5})=28\\x=\frac{28}{3+\sqrt{5}} \cdot \frac{3-\sqrt{5}}{3-\sqrt{5}}=21-7\sqrt{5}[/tex]

This means that the length of the hypotenuse is:

[tex]\sqrt{5}(21-7\sqrt{5})=\boxed{21\sqrt{5}-35}[/tex]

2) (Diagram attached) We know that

[tex]\cos 51^{\circ}=\frac{x}{58}\\x=58 \cos 51^{\circ} \approx \boxed{36.5}[/tex]  (in cm)

3) From the Pythagorean identity,

[tex]\sin^{2}\left (\arccos \frac{5}{13} \right)+\cos^{2} \left (\arccos \frac{5}{13} \right)=1\\\left(\frac{5}{13} \right)^{2}+\sin^{2} \left (\arccos \frac{5}{13} \right)=1\\\frac{25}{169}+\sin^{2} \left (\arccos \frac{5}{13} \right)=1\\\sin^{2} \left (\arccos \frac{5}{13} \right)=\frac{144}{169}\\\sin \left (\arccos \frac{5}{13} \right)=\boxed{\frac{12}{13}}[/tex]

4) [tex]\frac{\pi}{6}[/tex]

Answer:

B. 3.25 p.m.

Step-by-step explanation:

[tex]20 + 30 + 45 = 96 \: minutes \\ 95 \: minutes \: = 60 \: minutes + 35 \: minutes \\ 95 \: minutes \: = 1 \: hour \: 35 \: minutes\\ 5.00 \: p.m. - 1 \: hour \: 35 \: minutes = 3.25 \: p.m.[/tex]

Answer:

I believe what you would have to do is add each number so the top left box would be two and the bottom right would be 11

Step-by-step explanation:

Translating the given phrase into a variable expression is equal to k - 2.

A variable expression refers to a mathematical equation which can be used to show the relationship that exist between a numerical quantity and a variable.

Next, we would translate the given phrase into a variable expression as follows:

Let the number of keys on the keyring be k.

Therefore, the variable expression is equal to k - 2.

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Complete Question:

Translate the phrase into a variable expression. Use the letter k to name the variable. If necessary, use the asterisk (*) for multiplication and the slash (/) for division.

The number of keys on the keyring minus 2?

Answer:

R s. 36

Step-by-step explanation:

1kg ⇒ 1000g

So, a quarter kilogram means,

[tex]\frac{1}{4}[/tex] × 1kg = 1000g ×  [tex]\frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] × 1kg = 250g

According to the question,

250g = R s. 60

So, now they're asking for the price of 150g.

Let that price be x.

250g ⇒ R s. 60

150g  ⇒ x

Use cross multiplication to find the value of x.

250x = 60 × 150

250x = 9000

Divide both sides by 250.

x = R s. 36

Answer:

the next sequence is 76+19= 95

Answer:

Next number = 95

Step-by-step explanation:

Hi! Let me help you out.

_________________

To determine the next number in this sequence, we should determine the common difference.

We can do it like this.

[tex]\longmapsto\sf 76-57=19[/tex]

See. I took the third term, and subtracted the second term from it.

Continue.

[tex]\longmapsto\sf 57-38=19[/tex]

                                              ↪

The number we obtain after subtracting is the common difference.

So we should take the third term, "76", and add the common difference, "19" to it.

We obtain 95. Which is the final answer.

⇨Hope that this helped you out! have a great day ahead.⇦

Best Wishes!

[tex]\star\bigstar\overline{\textsf{Reach far. Aim high. Dream big.}}[/tex]

◆◈-Greetings!-◈◆

_______________

Answer:

$90,000

Step-by-step explanation:

We can can use substitution for this. First, we need to create two separate problems that represent this situation. The house and the lot together cost 120000, so we can make the equation h+l=120000. We also know that the house is worth 3 lots, so we can make the equation h=3l. Because h=3l, we can substitute for h, making the equation 3l+l=120000, or 4l=120000. To isolate l, we have to divide both sides by 4. If we do that, we get l=30000. Now, we have to substitute to find h. Our new equation is h+30000=120000. To isolate h, we have to subtract 30000 from each side. If we do this, we get h=90000. That's our answer.

Hope this helps!

Answer: Yes it is possible

Example: Yeast is a single-celled fungus.

There are probably other types of fungus that are single-celled. However, some other fungi are multi-celled. You will likely need more information about the organism under the microscrope before you can classify it properly.