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pogonyaev
3 years ago
14

What’s the measure of angle F?

Mathematics
1 answer:
Naily [24]3 years ago
3 0

Answer:

F = 105

Step-by-step explanation:

The  sum of the interior angles of a polygon with n sides is (n – 2)180.

This polygon  has 6 sides so the sum of the interior angles is (6-2) * 180 =

720

Add up the angles

x-60 +x-40 +130 +120 +110 + x-20 +x-20 = 720

Combine like terms

4x +220 = 720

Subtract 220 from each side

4x+220-220 = 720-220

x = 500

Divide each side by 4

4x/4=500/4

x = 125

We want to find angle F

F = x-20

   = 125-20

   105

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Strike441 [17]

Answer:

The position and orientation of the new angle may vary, but it should have the same angle measure as ∠BAC

.Step-by-step explanation:

4 0
3 years ago
Find the sine ratio for ∠D.<br> a. 7/25<br> b. 24/7<br> c. 25/24<br> d. 24/25
Shalnov [3]

Answer:

sin ∠D = 24/25

Step-by-step explanation:

sin = opposite / hypotenuse

Looking at ∠D, the opposite side is 24, hypotenuse is 25

Therefore sin = 24/25

8 0
2 years ago
In a parking lot there are totally 70 vehicles, cars and motorcycles. all together they've got 258 wheels. how many cars are the
docker41 [41]
1 car - 4 wheels
1 motorcycle - 2 wheels

x - number of cars
y - number of motorcycles

so, there are 70 vehicles: x + y = 70
and all togeather they've got 258 wheels: 4*x + 2*y = 258
because each car has 4 wheels, so all car wheels = 4*x,
likewise 2*y for motorcycles

x + y = 70  /* 4
4 x + 2y = 258

4 x + 4 y = 280  (R1)
4 x + 2y = 258    (R2)

2y = 22  /:2      it is R1 - R2
x = 70 - y

y = 11    /motorcycles
x = 70 - 11 = 59  /cars

check:
59 + 11 = 70  ok
59 * 4 + 11 * 2 = 236 + 22 = 258  ok
5 0
3 years ago
b) How many ways can you deal cards (from a deck of 52) to 4 people when each player gets 7 cards. 2 hidden and 5 visible. Assum
Mariana [72]

Answer:

{52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4

Step-by-step explanation:

The dealing of the cards can be seen in the following way:

We first have to choose which 7 cards are going to be dealt to the 1st player. So we have to pick 7 cards out of the 52 available cards. This can be done in {52 \choose 7} ways. Now that we have chosen which 7 cards are going to be dealt to the 1st player, we have to choose which 2 of them are going to be the hidden ones. So we have to pick 2 cards out of the 7 cards to be the hidden ones. This can be done in {7 \choose 2} ways. At this point we now know which cards are being dealt to the 1st player, and which ones are hidden for him. Then we have to choose which 7 cards to deal to the 2nd player, out of the remaining ones. So we have to pick 7 out of 52-7=45. (since 7 have been already dealt to the 1st player). This can be done in {45 \choose 7}. Then again, we have to pick which 2 are going to be the hidden cards for this 2nd player. So we have to pick 2 out of the 7. This can be done in {7 \choose 2} ways. Then we continue with the 3rd player. We have to choose 7 cards out of the remaining ones, which at this point are 52-7-7=38. This can be done in {38 \choose 7}. And again, we have to choose which ones are the hidden ones, which can be chosen in {7 \choose 2} ways. Finally, for the last player, we choose 7 out of the remaining cards, which are 52-7-7-7=31. This can be done in {31 \choose 7} ways. And choosing which ones are the hidden ones for this player can be done in {7 \choose 2} ways. At the end, we should multiply all our available choices on each step, to get the total choices or total ways to deal the cards to our 4 players (since dealing the cards is a process of several steps with many choices on each step).

{52 \choose 7}{7 \choose 2}{45 \choose 7}{7 \choose 2}{38 \choose 7}{7 \choose 2}{31 \choose 7}{7 \choose 2}={52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4

7 0
3 years ago
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tankabanditka [31]
2,600/4 =650
650•5 =3,250


I found the unit rate of the 2,600 by dividing the per hour and then times it by the 5 hours

Hopefully that was what you were looking for
3 0
3 years ago
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