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riadik2000 [5.3K]
3 years ago
12

Name six pairs of supplementary angles

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0

Supplementary angles are those angles whose sum of the measures of angles is 180 degrees.

Observe the figure clearly.

1. \angle AGF , \angle AGC are supplementary angles.

2. \angle FGD, \angle DGC are supplementary angles.

3. \angle FGE, \angle EGD, \angle DGC are supplementary angles.

4. \angle AGE, \angle AGB are supplementary angles.

5. \angle BGC, \angle CGD, \angle DGE are supplementary angles.

6. \angle CGE, \angle EGF are supplementary angles.

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A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
kati45 [8]

Answer:

596.34m approx

Step-by-step explanation:

Given data

Let the Starting point be x

A helicopter flew north 325 meters from x

Then flew east 500 meters

Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position

x^2= 325^2+500^2

x^2=105625+250000

x^2= 355625

x= √355625

x=596.34m

Hence the distance from the starting point is 596.34m approx

8 0
3 years ago
HELP GEO!!!
babymother [125]

Answer:

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6 0
3 years ago
A stadium has 45,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. If section C held 300 fewer
White raven [17]

Answer:

Let's define the variables:

A = number of seats in section A.

B = number of seats in section B.

C = number of seats in section C.

We have the equations:

A + B + C = 45,000.

C - 300 = B/2

A*$28 + B*$24 + C*$20 = $1,139,200

This is a system of equations, the first step to solve this is to isolate one variable in one of the equations, and then replace it in the others.

I will isolate C in the second equation:

C = B/2 + 300.

Now let's replace this in the other two equations:

A + B + B/2 + 300 = 45,000

A*$28 + B*$24 + (B/2 + 300)*$20 = $1,139,200

Let's simplify these equations:

A + B*(3/2) = 44,700

A*$28 + B*$34 + $6,000 = $1,139,200

Now let's isolate A in the first equation:

A = 44,700 - B*(3/2)

Let's replace this in the other equation:

(44,700 - B*(3/2))*$28 + B*$34 + $6,000 = $1,139,200

Now let's solve this for B.

-B*$8 + $1,252,200 = $1,139,200

-B*$8 =  $1,139,200 - $1,252,200  = -$113,000

B = $113,000/8 = 14,125

Now we can replace that in the equations:

A =  44,700 - B*(3/2) =  44,700 - 14,125*(3/2) = 23,512.5, that we should round up to 23,513.

And C = B/2 + 300 = 7362.5

As we rounded the previous one up, we should round this one down to 7362.

3 0
2 years ago
Geometric or arithmetic <br> 10,100,1000,10,000
snow_lady [41]

Answer:

Geometric

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help please with this question!!!
Vesnalui [34]
1 - AB is the Hypotenuse, BC is the opposite, AC is the adjacent (next to)

AB is the Hypotenuse because it is across from the right angle. BC is the opposite because its on the opposite side of the angle. AC is next to (adjacent) of the angle.

2 - the ratio is 30/1 = 5/b

This is because S O/H C A/H T O/A or Sohcahtoa.

S is the sine, which is Opposite over Hypotenuse. C is the cosine, which is Adjacent over Hypotenuse, and T is tangent which is Opposite over Adjacent. So look at what we labeled, we need to find the adjacent side, or b, and we have the opposite side, 5. So what has opposite and adjacent? Tangent.

So we do tan(30)/1 = 5/b, and cross multiply.

Now the last question. Hypotenuse is always C. But the other two values don’t matter where you put them on the left side since its multiplication. So its 7.7^2 * 6^2 = c^2 which is 59.29 * 36 = C^2.
2134.44 = c^2. Square root sides so it is 46.2 = c. The answer is 46.2
7 0
3 years ago
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