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Gennadij [26K]
3 years ago
11

X divided by 1/3=14

Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

Answer:

42

Step-by-step explanation:

x=14x3

14x3=42

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maks197457 [2]

Answer:

Please check the explanation.

Step-by-step explanation:

From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.

Therefore, the pairs of alternating interior angles formed by the two transversal lines are:

  • ∠1  & ∠5
  • ∠2 & ∠4
  • ∠2 & ∠7
  • ∠3 & ∠6

We know that alternating interior angles formed by a transversal line are congruent.

Thus,

  • ∠1  = ∠5
  • ∠2 = ∠4
  • ∠2 = ∠7
  • ∠3 = ∠6

Part a)

Given

m∠1 = 3x + 42

m∠5 = 8x - 8

As

∠1  = ∠5

So

3x + 42 =  8x - 8

flipe the equation

8x - 8 = 3x + 42

subtract 3x from both sides

8x - 8 - 3x = 3x + 42 - 3x

5x - 8 = 42

add 8 to both sides

5x - 8 + 8 = 42 + 8

5x = 50

divide both sides by 5

5x/5 = 50/5

x = 10.0000 (Rounded to four decimal places)

Thus, the value of x = 10.0000 (Rounded to four decimal places)

Part b)

Given

m∠6 = 12°

It is clear that angles ∠6 and angle ∠7 lie on a straight line.

Thus,

The sum of ∠6 and ∠7 is 180°.

∠6 + ∠7 = 180°

substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°

12° + ∠7 = 180°

subtract 12 from both sides

12° + ∠7 - 12° = 180° - 12°

∠7 = 168°

Thus, measure of angle ∠7 = 168°.

We already know that alternating interior angles formed by a transversal line are congruent.

∠7 and ∠2 are alternating interior angles.

Thus,

∠2 = ∠7

As ∠7 = 168°.

Therefore,

∠2 =  168°

Hence, we conclude that

∠2 =  168°

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3 years ago
What is an equation that has an infinite number of solutions
Maurinko [17]
<span><span><span>2x </span>+ 7 </span>= <span><span>x + x </span>+ 7 is an example of an equation with an infinite number of solutions, meaning any number could be the answer.
</span></span>
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Explain the difference in meaning between<br> |-3| and -3
rodikova [14]

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3 years ago
Debra has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 14 ounces each and bottles that weig
icang [17]

Answer:

14C + 70B

Step-by-step explanation:

Let us represent:

The number of cans = C

The number of bottles = B

Her truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. There is a combined total of 880 cans and bottles in her truck.

The expression for the combined total weight (in ounces) of the cans and bottles in her truck is given as

Total weight in out = 14 × C + 70 × B

= 14C + 70B

When:

C + B = 880

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