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Flura [38]
2 years ago
12

Not sure how to solve. Julia uses the shadow of a flagpole to estimate its height. She stands so that the tip of her shadow coin

cides with the tip of the flagpole’s shadow, as shown. Julia is 5 feet tall. The distance from the flagpole to Julia is 28 feet, and the distance from the tip of the shadows to Julia is 7 feet. Calculate the height of the flagpole. a. 13 feet b. 980 feet c. 39 feet d. 25 feet
Mathematics
1 answer:
Elena-2011 [213]2 years ago
7 0
You are going to have to compare the height and shadow of Julia to the height and shadow of the flagpole.
Julia is 5 feet tall with a shadow of 7 feet.
The flagpole is "x" feet tall with a shadow of 35 feet (to get 35, I added 28 feet and 7 feet.)
So, you do 5/7 = x/35
You cross multiply and get 175 = 7x
Then, divide by 7 and you get 25.
25 feet is the height of the flagpole, so it would be option "D".
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3 0
2 years ago
A student took a total of 4 tests over the course of 8 weeks. How many weeks of school will the student attend to take a total o
Julli [10]

Answer:

4/8 = 20/x

20 x 8 = 160

160 ÷ 4 = 40

the student will attend 40 weeks of school

3 0
2 years ago
A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long co
Charra [1.4K]

Answer:

B 6 centimeters

Step-by-step explanation:

y = x + 2

2x + 3y = 36

substitute y = x+2  into the second equation

2x + 3 (x+2) = 36

distribute

2x + 3x+ 3*2 = 36

combine like terms

5x+6 = 36

subtract 6 from each side

5x +6-6 = 36 -6

5x = 30

divide by 5

5x/5 = 30/5

x = 6

the short side is x =6

the longer side is

y= x+2

y = 6+2

y =8

6 0
2 years ago
Read 2 more answers
Gabriel is making a mixture of compost and soil to use for a special plant. He wants his final mix to be 2 parts compost to 6 pa
nata0808 [166]

Answer:

5/2 kg

Step-by-step explanation:

The ratio here is 2:6.  2 plus 6 is 8.

Then (2/8) times 10 kg represents the amount of compost needed; that comes to 20/8 kg, or 10/4 kg, or 5/2 kg.

8 0
3 years ago
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I need help on 25,27, 28,29,31 100 points for who answers it right
Vika [28.1K]

Answer:

25. D          27. D       28. A       29. D. x = 7, y = 26       31.  D. 120 degrees

Step-by-step explanation:

25. Since the two parallelograms are congruent, you know what ∠B and ∠Y are supplementary.

This means that 3m + 70 + 80 = 180

3m + 150 = 180

3m = 30

D. m = 10

27. Since a vertex is (2,0), you know that two other vertexes are five units away in one direct and the other vertex will be five up or down and five over.

A is 5 units over, and that's a possible other coordinate, so it can't be A.

B is 5 over, so it's a possibility and it can't be B.

C is down 5 and 5 over, so it can be the coordinate across from (2,0), so it can't be C.

D is 7 up and 2 over, which isn't within our 5 unit frame! So it must be D!

E is 5 up and 5 over, so it can still count as a possibility.

28. When you observe the coordinates, you'll notice that FG ║ HI, and FH ║ GI. This eliminates the possibility of it being a kite and ensures that it will at least be a parallelogram!

From here, you can also observe that FG ≅ HI, and FH ≅ GI. This shows you that it's not a square despite that it has right angles.

The presence of right angles shows that it's not a rhombus and instead must be a rectangle.

29. Even though the problem only identifies it as a quadrilateral, it must be a parallelogram because of the parallel sides. Opposite angles on parallelograms are congruent, so we can begin with:

6x - 8 = 4x + 6

2x = 14

x = 7

From here, you can plug "x" back into the equation to find the value of those two angles.

6(7) - 8

42 - 8

34

Now that we know that those two angles are 34 degrees, we know that they total to 68 degrees.

Since the sum of internal angles on a quadrilateral is 360 degrees, the other two anglers must be 360 - 68.

That means the total of those two angles is 292 degrees.

Since we know the angles are equal (def. of parallelogram), we know that:

146 = 5y + 16

140 = 5y

y = 26

D. x = 7, y = 26

31. The arc is 120 degrees because the angle because at the other side instead of at the center of the circle, so you double the angle.

5 0
3 years ago
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