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MaRussiya [10]
3 years ago
12

Please only answer if you're confident.

Mathematics
2 answers:
Elis [28]3 years ago
8 0

Answer:

∠ B = 70°

Step-by-step explanation:

A and B are alternate exterior angles and congruent, that is

∠ A = ∠ B , substitute values

8x + 6 = 4x + 38 ( subtract 4x from both sides )

4x + 6 = 38 ( subtract 6 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

Thus

∠ B = 4x + 38 = 4(8) + 38 = 32 + 38 = 70°

lina2011 [118]3 years ago
4 0

Answer:  ∠B=70°

Step-by-step explanation:

It is shown in the diagram that ∠A and ∠B is vertical angles.

  • Vertical angle theorem: opposite angles are congruent.

<u>Solve:</u>

∠A=∠B

8x+6=4x+38

4x=32

x=8

<h2>∠B=4x+38=4(8)+38=32+38=70°</h2>
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There are 20 pens in a package. Ten of the pens are black, 8 are blue, and the rest are red.
Serjik [45]

Answer:

1:5

Step-by-step explanation:

  Their is 2 red pens, because 20(pens) - 8(blue pens) = 12(pens [blue excluded]) and there are 10 black pens (12 - 10 = 2)

  So we can get an un-simplified ratio of 2:10, however in the list of answers you gave us:

  • 1:10
  • 1:5
  • 4:5
  • 5:1

  Their is no 2:10, so now we need to simplify our ratio by dividing both 2 and 10 by 2, 2 divided by 2 = 1 and 10 divided by 2 = 5. As we can now see this gives us the ratio of 1:5 which is our second answer choice, and therefore since 1:5 is equal to 2:10 our answer is 1:5

3 0
4 years ago
10. Saul works two part-time jobs. Last week, he worked 14 hours at a shoe store, and 19
Sedbober [7]

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

Step-by-step explanation:

Let s = hourly salary at the shoe store.

Let t = hourly salary as a telemarketer.

14s + 19t = 240.3

19s + 22t = 300

Multiply both sides of the first equation by 19. Multiply both sides of the second equation by -14. Then add them.

         266s + 361t = 4565.7

(+)     -266s - 308t = -4200

----------------------------------------

                       53t = 365.7

t = 6.9

Substitute 6.9 for t in the first equation and solve for s.

14s + 19(6.9) = 240.3

14s + 131.1 = 240.3

14s = 109.2

s = 7.8

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

6 0
3 years ago
59, 51, 55, 46, 50, 40, 44, ____, ____
LUCKY_DIMON [66]
33, 37, 25, 29
The pattern is semi-complicated and hard to explain.
From the first number to the second, they subtracted 8. Then added 4. Then subtracted 9. And added 4. And subtracted 10. And added 4.
So I subtracted 11. Then added 4. And subtracted 12. Then added 4. Etc.
7 0
3 years ago
6! = (4! x (6-4)!) =<br>​
Eduardwww [97]

Answer:

<h2>6! = 720</h2><h2>(4! × (6 - 4)!) = 48</h2>

Step-by-step explanation:

n! = 1 · 2 · 3 · 4 · ... · n

6! = 1 · 2 · 3 · 4 · 5 · 6 = 720

(4! × (6 - 4)!) = (1 · 2 · 3 · 4 × 2!) = 24 × 1 · 2 = 24 × 2 = 48

5 0
3 years ago
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kenny6666 [7]

Answer:

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Step-by-step explanation:

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3 years ago
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