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VLD [36.1K]
3 years ago
8

Find the sum of the interior angle measures of a convex 21-gon

Mathematics
1 answer:
Advocard [28]3 years ago
7 0

Answer:

  3420°

Step-by-step explanation:

The sum of angle measures of an n-gon is ...

  angle total = (n-2)×180°

For n = 21, the angle total is ...

  21-gon total = (21 -2)×180° = 3420°

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The equation, y = (1/4)x, is an example of what kind of variation?
lakkis [162]

Answer:

I would stay direct vartation

Step-by-step explanation:

For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

3 0
3 years ago
Find x of the triangle
sukhopar [10]

Answer:

Step-by-step explanation:

altitude = sqrt(6*8) = 4*sqrt(3)

Use the Pythagorean Theorem to derive x

altitude^2 + 18^2 = x^2

48 + 18^2 = x^2

x^2 = 342

x = 3*sqrt(38)

x = 18.49

5 0
3 years ago
Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long unti
Bogdan [553]

Answer: 7 hr

Step-by-step explanation:

Given

Distance between Emily and Kylie is 140\ \text{miles}

Speed of Emily v_e=12\ mph

Speed of Kylie v_k=8\ mph

Distance traveled by Emily \Rightarrow d_e=12t

Distance traveled by Kylie \Rightarrow d_k=8t

\Rightarrow 12t+8t=140\\\Rightarrow 20t=140\\\Rightarrow t=7\ hr

They will meet after 7 hour.

3 0
3 years ago
19. Find the volume of a sphere with radius 9.25 cm. Use 3.14 as an approximation for pi. Round the answer to two decimal places
natima [27]
19. The formula for finding the volume of a sphere is 4/3πr^3
The problem says the radius is 9.25 cm.
Just plug in the numbers and solve:
4/3(3.14)(9.25^3)
9.25^3 = ~791.45
4/3(3.14)(791.45)
4/3 • 3.14 = ~4.19
4.19 • 791.45 = 3316.1755
It says to round to 2 decimal places so the answer to this question would be 3316.18.
That means 3316.18 is the volume of the sphere.

20. It's always best to change words into an equation.
-16 - w
w = -23
Plug in the number to the variable:
-16 - (-23)
Double negatives (a negative being subtracted) turn into a plus (positive being added).
-16 + 23 = 7
So the answer is 7.

25. Complementary angles are angles with a sum of 90º.
If angle A is 27º, just subtract that from 90º to get the measure of angle B.
90 - 27 = 63
So angle B is 63º, and the answer is A.
3 0
3 years ago
Which expressions are equivalent to -6+4q+(-6q)
enot [183]

Answer:

c

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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