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riadik2000 [5.3K]
3 years ago
15

Which pair of angles are alternate exterior angles ?

Mathematics
2 answers:
Citrus2011 [14]3 years ago
8 0

8 and 1 are alternate exterior angles.

prohojiy [21]3 years ago
5 0

Answer:

<8 and <1

Step-by-step explanation:

<8 and <1 are both outside of the parallel so they are exterior and opposite to each other which is alternative exterior.

Hope this helps, thank you !!

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A class has 12 boys and 4 girls. What is the ratio of boys to girls written as a decimal?
ss7ja [257]

Answer:

C: 3.0

Step-by-step explanation:

You can write a ratio as a fraction (12/4). Write it as a fraction then just do the math.

12/4 = 3

6 0
3 years ago
Read 2 more answers
Work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)
aleksandrvk [35]

Answer:

  • x = 2.41

Step-by-step explanation:

<u>Area formula:</u>

  • A = 1/2bh

<u>The height is:</u>

  • h = (x + 2)sin 45° = √2(x + 2)/2

<u>Substitute the area value an set an equation:</u>

  • 4√2 = (2x - 3)√2(x + 2)/2
  • (2x - 3)(x + 2) = 8
  • 2x² + x - 6 = 8
  • 2x² + x - 14 = 0
  • D = 1 + 4*2*14 = 113
  • x = (-1 + √113)/4 = 2.41 (rounded)    

Note. the second root ignored as negative

7 0
2 years ago
A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack
Bond [772]

The number of small packs is 2 and the number of large packs is 7

Step-by-step explanation:

A school is organizing a cookout where hot dogs will be served. The hot dogs come in small packs and large packs

  • Each small pack has 8 hot dogs
  • Each large pack has 18 hot dogs
  • The school bought 5 more large packs than small packs, which altogether had 142 hot dogs

We need to find the number of small packs purchased and the number of large packs purchased

Assume that the number of the small packs is x and the number of the large pack is y

∵ There are x small packs

∵ Each small pack has 8 hot dogs

∵ There are y large packs

∵ Each large pack has 18 hot dogs

∴ The total number of hot dogs in all packs = 8x + 18y

∵ All packs had 142 hot dogs

- Equate the total number of hot doges by 142

∴ 8x + 18y = 142 ⇒ (1)

∵ The school bought 5 more large packs than small packs

∴ y = x + 5 ⇒ (2)

Now we have system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ 8x + 18(x + 5) = 142

- Simplify the left hand side

∴ 8x + 18x + 90 = 142

- Add like terms in the left hand side

∴ 26x + 90 = 142

- Subtract 90 from both sides

∴ 26x = 52

- Divide both sides by 26

∴ x = 2

- Substitute the value of x in equation (2) to find y

∵ y = 2 + 5

∴ y = 7

The number of small packs is 2 and the number of large packs is 7

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

LearnwithBrainly

5 0
3 years ago
A rectangular picture is twice as long as it is wide. If the
yulyashka [42]

Answer:

24 in long by 12 in wide.

Step-by-step explanation:

l=2w

288=(2w)×w

288=2w^2

144=w^2

12=w

width is 12 inches. Plug that in to find length...

l=2×12

l=24

8 0
2 years ago
20 POINTS PLEASE HELP, AND FAST
DaniilM [7]

Answer:Answer: 1/4 mile over 25 seconds= 36 miles

The way we work this out is by working out the amount of lots of 25 seconds in an hour, and then multiply it by that 1/4 of an hour. 1 hour has 60 minutes, and each minute has 60 seconds, so 1 x 60 x 60 = 3600 = the number of seconds in an hour.

3600/25 = 144. Therefore there are 144 lots of 25 seconds in an hour. If the deer runs 1/4 a mile in 25 seconds, then we just have to do 144 x 1/4 and it will give us the answer.

144 x 1/4 = 36. Therefore the deer can run 36 miles per hour.

If you want to express this all in one equation, we can write it as:

((60 x 60)/25) x 1/4 = 36

Hope this helped :))

7 0
3 years ago
Read 2 more answers
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