Which pair
angles must be supplementary?
21
5
3 4

Answer and explanation:

1. 15 girls to 6 boys = 15:6

15/6= 5/2

2. 24 players to 3 teams = 24:3

24/3= 8/1=8

3. 48 worksheets to 12 students =48:12

48/12= 4/1

4. 4/7 and 24/35 are not proportional as they do not reduce to same ratio

5. 11/12 and 33/36 are proportional because they reduce to same same ratio(33/36=11/12)

6. 8/24 and 5/15 are proportional beacaue they reduce to same ratio(8/24=5/15=1/3)

7. 3/7 and 12/21 are not proportional because they do not reduce to same ratio(3/7≠12/21)

8. 25 cars in 5 days= 25/5= 5 cars each day. 60 cars in 12 days = 60/12=5 cars each day. Therefore they are proportional.

9. 14 books in 2 boxes= 7 books per box. 20 books in 3 boxes = 20/3= 6.667. Therefore they are not proportional.

10. 12 laps in 30 minutes =12/30=2/5

15 laps in 45 minutes =15/45=1/3. Therefore they are not proportional.

Given:

The graph of a function.

To find:

The range of the function.

Solution:

Range is the set of y-values or output values.

From the given graph it is clear that,

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]

And the value function can be any real number. So,

Range = [tex]-\infty<y<\infty[/tex]

Range = [tex](-\infty, \infty)[/tex]

Range = y is all real numbers.​

Therefore, the correct option is D.

Answer:

D. y is all real numbers.​

Step-by-step explanation:

Range is the set of y-values or output values.

From the given graph it is clear that,

And the value function can be any real number. So,

Range =

Range =

Range = y is all real numbers.​

Therefore, the correct option is D.

Answer:

y=x+2.

Step-by-step explanation:

1. if the point A has coordinates (-3;1) and B - (1;3), then it is possible to make up the equation:

[tex]\frac{x-X_A}{X_B-X_A}= \frac{y-Y_A}{Y_B-Y_A}; \ => \frac{x+3}{4} =\frac{y+1}{4};[/tex]

2. if to evaluate the equation, then

x+3=y+1; ⇔ y=x+2 (slope-interseption form).

Answer:

8x - 40 > 200

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

[tex]x = 21 \div - 3 \\ x = - 7[/tex]

Answer: -7

Step-by-step explanation:

Move all terms that don't contain

x

x

to the right side and solve

Answer:

33dollors if I'm not mistakin

Answer:

1.414

Step-by-step explanation:

Answer:

Salome is 29 inches tall.

Step-by-step explanation:

Each feet has 12 inches.

Salome:

Salome is 2 feet 5 inches tall.

Since each has 12 inches, 2 feet = 2*12 = 24 inches

24 + 5 = 29 inches.

So Salome is 29 inches tall.

Answer:

√6: 2.44

Step-by-step explanation:

first one since it's closer to the square root of 6

Answer:

D=4

C=12.56

Step-by-step explanation:

D=2r

d=2×2

D=4

C=pi ×D

C=3.14×4

C=12.56

Answer:

113

Step-by-step explanation:

divide the volume with the length

$420+$350+$432=kelsey's monthly expenses  

$700+$800=Micheal's Monthly expenses

Michael's average monthly expenses are $750.

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, Kelsey spent $350 in May, $432 in June and $420 in July.

Now, average monthly expenses are

(350+432+420)/3

= 1202/3

= 400.67

Michael spent $700 in April and May and $800 in June and July.

Here, (700×2+800×2)/4

= (1400+1600)/4

= 3000/4

= $750

Therefore, Michael's average monthly expenses are $750.

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Answer:

112

Step-by-step explanation:

formula = lwh/3 (length x width x height / divided by 3)

Answer:

112in

Step-by-step explanation:

Please mark brainliest.

Answer:

The answer is y = 4x - 1.

Step-by-step explanation:

☆The equation we'll be using: y = mx + b

☆Since we already have the slope. we have to find the y-intercept.

☆[tex]y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } [/tex]

☆Using the information we gathered and was given, we just to put them together.

☆[tex]y = 4x - 1[/tex]

Answer:

y=4x-1

Step-by-step explanation:

Answer:

I think it's 10 gallons less than Evan

Answer:Sorry

Step-by-step explanation:

Hi would help but i dont know and im not in collage sorry.

Answer:

20 2/3

Step-by-step explanation:

Answer:

x ≈ 2.4

Step-by-step explanation:

Area of the triangle = 1/2 absin theta

Find the diagram of the triangle attached

a = 2x-3

b =x+2

theta = 45°

Substitute and find x

4√2 = 1/2(2x-3)(x+2)sin45

8/√2 = (2x-3)(x+2)(1/√2)

8 = (2x-3)(x+2)

Expand

8 = 2x²+4x-3x-6

2x²+x-6-8=0

2x²+x-14 = 0

x = -1±√1²-4(14)(2)/2(2)

x = -1±√1+112/4

x = -1±√113/4

x = -1+10.63/4

x = 9.63/4

x = 2.4

The value of x is 3.075.

Given that,

The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,

and [tex]\theta[/tex] is 45 degrees.

The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).

We have to determine

The value of x.

According to the question

The area of the triangle is determined by the following formula,

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]

Substitute all the values in the formula

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]

[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]

The value of x can not be negative so the value of x is 3.075.

Hence, The required value of x is 3.075.

For more details refer to the link given below.

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Answer:

Assuming that the notation there is meant as:

[tex](3c)^{-2}[/tex]

then the answer would be 1/(9c²)

If the -2 is indeed just subtraction and not an exponent, then it is simply 3c - 2

The expression equivalent to 1/9c².

An expression is a set of terms combined using the operations +, – , x or for example 4 x − 3 or x 2 – x y + 17 .

An equation states that two expressions are equal in value,

for example 4 b − 2 = 6 .

Given:

[tex](3c)^{-2}[/tex]

To make the power positive, just do the reciprocal

=1/ (3c)²

=1/9c²

Hence, the expression

[tex](3c)^{-2}[/tex] is equivalent to 1/9c².

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Answer:

60

Step-by-step explanation:

60/3=20

60/2=30

60/5=12

20$56 x4-7 + ,608+. 0. -70

Answer: answer is 8 because -5 + 1 = -4 then + 10 = 4

Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

Answer:

The one is the y intercept so you would place it at (0,1) and then sense the slope is 2/1 you would either go back one and down two or go up two and over one

Step-by-step explanation:

Answer 1029

Step-by-step explanation: So, since all of the phones cost 3,069 in total, divide 3,069 by three. You get 1029.

Answer: 58,080 yards in one hour.

Step-by-step explanation:

1. 165 miles ÷ 5 = 33 miles per hour

2. 1 mile = 1760 yards

3. 1760 x 33 = 58,080 yards.

4. 58,080 yards per hour.

Therefore the car travels 58,080 yards in 1 hour.

Answer:

[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces\: \: of \: \: candy[/tex]

Step-by-step explanation:

[tex] \frac{x}{128} = \frac{25}{100} [/tex]

[tex](x)100 = (25)128[/tex]

[tex](x)100 = 3200[/tex]

[tex] \frac{(x)100}{100} = \frac{3200}{100} [/tex]

[tex]x = \frac{3200}{100} [/tex]

[tex]x = 32[/tex]

[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces \: \: of \: \: candy[/tex]

Step-by-step explanation:

first: if we add 3x+7 and 4x+5, it will total a 180 degree angle. This will allow us to solve for x.

3x+7+4x+5=180

7x+12=180

7x=180-12

7x=168

x=24

now we can also see that angle 6 is the same as the angle 3x+7.  and Since we know x=24, we can solve for those angles.

3(24)+7:

72+7=79

So :

<6 =79°

Answer:

need a picture hdhxhxhxhx

Answer:

The answer is y = 6x + 9.

-

Step-by-step explanation:

☆Remember: [tex]m =  \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Slope-intercept: [tex]y = mx + b[/tex]

---

☆We need to find the slope first. So just plug in according to the slope formula!

[tex]m =  \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6[/tex]

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☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

[tex]y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]

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☆Now all we need to do is plug in and we are done!

[tex]y = 6x + 9[/tex]

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