the track team has 21 members the ratio of boys to girls 3:4 how many girls are on the track team

9514 1404 393

Answer:

Step-by-step explanation:

Alternate interior angles are congruent, so you know ...

  ∠2 = 52°

  ∠3 = 47°

The sum of angles in a triangle is 180°, so ...

  ∠5 = 180° -∠2 -∠3 = 180° -52° -47°

  ∠5 = 81°

Linear pairs are supplementary, so ...

  ∠1 = 180° -∠2 = 180° -52°

  ∠1 = 128°

  ∠4 = 180° -∠3 = 180° -47°

  ∠4 = 133°

_____

Alternate solution

To find angles 1 and 4, you could also make use of the fact that same-side interior angles are supplementary.

Answer:

96π cu ft.

Step-by-step explanation:

V = Bh      B = area of the base     h = height

The base is a circle, so [tex]B = \pi r^{2} = \pi 4^{2} = 16\pi[/tex]

V = 16π(6) = 96π cu ft.

The volume of the cylinder is 301. 6 cu. ft.

[tex]V=\pi \times r^2\times h[/tex]

where r is the radius of the cylinder and h is the height of the cylinder

For given question,

The radius of a cylindrical water tank is 4 ft, and its height is 6 ft,

[tex]\Rightarrow r=4~ft,~h=6~ft[/tex]

We need to find the volume of the cylinder.

Using the formula of the volume of the cylinder,

[tex]\Rightarrow V=\pi \times r^2\times h\\\\\Rightarrow V=\pi \times 4^2\times 6\\\\\Rightarrow V=\pi \times 16 \times 6\\\\\Rightarrow V =301.6~~cu.ft.[/tex]

Therefore, the volume of the cylinder is 301. 6 cu. ft.

Learn more about the volume of the cylinder here:

https://brainly.com/question/16134180

#SPJ2

Answer:

x = 48 degrees

Step-by-step explanation:

Every triangle has an interior angle of 180 degrees

to find x, take the known angles and add them together:

47 + 85 = 132

now take the sum and subtract it from 180;

180 - 132 = 48

x = 48 degrees

Answer:

So basically you just count how many squares you see. I see 21 squares so your answer would be 21 cubic units please mark me brainliest and have a wonderful day

Step-by-step explanation:

Answer: 18 cubic units

Step-by-step explanation:

You can count the number of units on each side, one for height, which is 3 units, one for width, also 3, and one for length, 2 units. Volume is height*length*width, so 3*3*2 is 18.

20x + 1 = 720

20x = 719

x = 35.95

Your answer: 35.95

Proof:

(5(35.95))+(35.95-10)+(3(35.95)+5)+(2(35.95)-2)+(5(35.95)+6)+(4(35.95)+2) = 720

For the first box, you would multiply.

For the second box, you would multiply both sides by 3/2.

For the third box, the answer is 18.

[tex]\frac{2}{3}x=12[/tex]

[tex](\frac{3}{2} )*\frac{2}{3}x=12*(\frac{3}{2})[/tex]

[tex]x = 18[/tex]

If you have any further questions, please reach out to me :)

Answer:

multiply both sides by 3/2. The correct answer is 18

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

47-6=41

Answer:

-1

Step-by-step explanation:

Answer:

[tex] y = \frac{1}{2} x + 5[/tex]

Step-by-step explanation:

[tex]2x - 4y = - 20 \\ \\ - 4y = - 2x - 20 \\ \\ y = \frac{ - 2}{ - 4}x - \frac{20}{ - 4} \\ \\ y = \frac{1}{2} x + 5[/tex]

Answer:

Step-by-step explanation:

Answer:

You need to show us the options

Step-by-step explanation:

Answer:

what’s the anwser?

Step-by-step explanation:

Answer:

for every 19 red apples, there are 7 green ones

Step-by-step explanation:

Answer:

30 seconds

Step-by-step explanation:

Speed of person :

72 feets in 9 seconds

Distance = 72 feets ; time = 9 seconds

Speed = distance / time

Speed = 72 / 9 = 8 ft/s

Length of sidewalk = 240 feets

Time it takes to move from one end to the other :

Time = distance / speed

Time = 240 feets / 8 feets /sec

Time taken = 30 seconds

Answer:

The slope = 8/3

Step-by-step explanation:

Let's find the slope between your two points.

(−3,−4);(0,4)

(x1,y1) = (−3,−4)

(x2,y2) = (0,4)

Use the slope formula:

m= y2−y1 / x2−x1

= 4 − −4 / 0 − −3

= 8/3

Answer:

m = 8/3

Graph:

hope this helps and is right :)

Answer:

the area of is

Step-by-step explanation:

Answer:

Each student club must contribute $ 33.33 in order to meet the fundraising goal.

Step-by-step explanation:

Given that a school fundraiser has a minimum target of $ 500. Faculty have donated $ 100 and there are 12 student clubs that are participating with different activities, to determine how much money should each club raise to meet the fundraising goal, the following calculation must be performed:

(500 - 100) / 12 = X

400/12 = X

33,333 = X

Thus, each student club must contribute $ 33.33 in order to meet the fundraising goal.

Answer:

5,5

Step-by-step explanation:

Answer:

-26

Step-by-step explanation:

tell me if im right and please brainliest

Answer:

B. 160 inches

Step-by-step explanation:

The wrapping paper would be the surface area of the box.

The surface area of a box is 2(h * W) + 2(h * L) + 2(W * L)

h = height

W = width

L = length

length x width x height

length = 5 in

width = 2 in

height = 10 in

2(10 * 2) + 2(10 * 5) + 2(2 * 5)

2(20) + 2(50) + 2(10)

40 + 100 + 20

160 inches

Answer: 1. Correct, 2. Incorrect 90° angle not 80° angle answer is 50, 3. Is correct, 4. Is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

x > -7

Open circle means the solution does not include -7 and it is more than -7

Answer:

you are correct

Step-by-step explanation:

Answer: 19 days

Step-by-step explanation:

Answer:

115 + 10x = 305

x = 19

It will take her 19 days to finish.

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, so ...

  11x +6 = -6x +125

  17x = 119 . . . . . . . . . add 6x-6 to both sides

  x = 7 . . . . . . . . divide by 17

Answer:

y = - x + 3

or

x + y = 3

Step-by-step explanation:

Line is passing through the points (3, 0) & (0, 3)

y-intercept (b) = 3

Slope of the line (m) = (3 - 0)/(0 - 3) = 3/(-3) = - 1

Now, required equation of line is given as:

y = mx + b

y = - 1*x + 3

y = - x + 3

or

x + y = 3

Answer:

y = 9/2 (fraction)

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = -1/2 + c

Therefore:

c = 9/2

So, y = 9/2

Brainlist pls!

y = ax^2

If the absolute value of a is <1 the graph is wider than when a = 1

If the absolute value of a is >1 the graph is narrow than when a = 1

The only function that fits that description is  

y = 2x^2