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Reil [10]
3 years ago
13

The measures of 13 of the 14 angles of a 14−gon add up to 2,004°. What must the fourteenth angle measure be?

Mathematics
1 answer:
dolphi86 [110]3 years ago
4 0

Answer:

156°

Step-by-step explanation:

The interior angles of a convex n-gon add to (n -2)180°, so a 14-gon has a sum of angles of 12×180° = 2160°. Since 13 angles sum to 2004°, the remaining one must be ...

... 2160° -2004° = 156°

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Elizabeth has 8 ounces of chopped vegetables in a mixing bowl. She needs to have a minimum of 50 ounces for a party-sized salad
Lorico [155]

Answer:

the inequality is 50 = 3x -8 because Elizabeth needs 50 ounces but she already has 8 ounces, so you would have to subtract 8 from 50 first. Then to would have to see how many times 3 can fit in the difference

Visual explanation

50 = 3x - 8

take 8 from both sides

42 = 3x

divide 3 from both sides

14 = x

She needs at least 14 cups of chopped vegetables

7 0
3 years ago
Max's house has two steps on
Drupady [299]

Given:

Max's house has two steps on  the front porch.

Size of each step is the same.

To find:

The total vertical distance covered by  the two steps.

Solution:

From the given figure, it is clear that,

Base length of each step = 6 in

Hypotenuse = 10 in

Let h be the vertical height of each step.

Using Pythagoras theorem, the vertical height of one step is

Base^2+Perpendicular^2=Hypotheuse^2

6^2+h^2=10^2

36+h^2=100

h^2=100-36

h^2=64

Taking square root on both sides.

h=\pm\sqrt{64}

h=\pm 8

Height cannot be negative. So, h = 8 in.

Now,

Vertical height of 2 steps = 2\times 8

                                         = 16

So, the total vertical distance covered by  the two steps is 16 in.

Therefore, the correct option is A.

7 0
3 years ago
It took Mrs. Harpole 35 minutes to grade
stepladder [879]

Answer:

700 minutes or 11.67 hours

Step-by-step explanation:

35/4=8.75

8.75*80=700

8 0
3 years ago
Lizzo is building a storage container in her basement the container will have two sections that are connected how many cubic foo
hammer [34]

Answer:

312

Step-by-step explanation: You need to multiply your numbers and I don't know if you got my numbers.

7 0
3 years ago
Can someone please help?
noname [10]

Answer:

2

Step-by-step explanation:

this one is correct

1/5+1/5=2/5

7 0
3 years ago
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