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Montano1993 [528]
4 years ago
9

Point O is the center of the accompanying figure. Find x

Mathematics
1 answer:
geniusboy [140]4 years ago
6 0

We can find x only if we know that the figure is a REGULAR octagon, i.e. an octagon with all sides equal, and all interior angles equal.


We will ASSUME that the figure is a regular octagon.


For a regular polygon, the central angle subtended by each side is equal.

The central angle is 360 degrees.

So the central angle subtended by a single side euqals

a=360 degrees / 8 sides = 45 degrees / side

Since x is the total angle subtended by three sides, so

x=3*45=135 °


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KiRa [710]

Answer:

E(p)=51,450p+346,920

Step-by-step explanation:

The function

m(p) = 175p + 1,180

gives the mass of the car as a function of the number of passengers in it.

And the function

E(m) = 9.8m*h

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

E(m) =9.8m*(30)

E(m) =294m

And to find the potential energy as a function of the number of passengers, we just substitute m(p) into E(m) to get:

E(m(p))=294(175p+1180)

\boxed{ E(p)=51,450p+346,920}

which gives the potential energy as a function of the number of passengers.

7 0
4 years ago
Do the side lengths 4, 8, and 10 form a triangle? Select the correct answer and reasoning. Question 9 options: A) No, because 4
Arada [10]

Answer:C

Step-by-step explanation:The side lengths of the triangle is 4, 8 and 10. To check if the sides form a triangle, see if the following inequalities hold true:

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5 0
2 years ago
Answer!asap if you are a bot don't even respond
Tema [17]

Answer:

Step-by-step explanation:

Upon factoring all terms we are left with the product of

[(x-4)(x+6)(x-6)]/[5(x-6)(3x+5)(x-4)]

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3 years ago
Simplify the expression 4.2(5.1x+6.8)
Dominik [7]

Step-by-step explanation:

Step-by-step explanation:

Expand: 4.2×5.1×x+4.2×6.8

4.2×5.1×x  to (21.42)x

Simplify: 21.42x+4.2×6.8

4.2×6.8 = 28.5628.56

21.42x+28.56

8 0
3 years ago
4 people can paint a house in 6 hours. a) How long would it take 1 person to paint the house?​
OlgaM077 [116]

Answer:

9 hours

Step-by-step explanation:

If there's 4 people, they each need 1.5h So you multiply 1.5 by 6 and that's how you find how long it takes for 1 person.

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