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sertanlavr [38]
3 years ago
7

Given: p || q, and r || s.

Mathematics
2 answers:
MariettaO [177]3 years ago
8 0

Answer:

A.

Statement: ∠6 ≅ ∠14

Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

Step-by-step explanation:

In the figure attached, a plot of the problem is shown.

Given p || q and r is a transversal which cut p and q, then ∠1 ≅ ∠5 and ∠2 ≅ ∠6.

Given r || s and q is a transversal which cut r and s, then ∠6 ≅ ∠14 and ∠8 ≅ ∠16.

From the picture we see that ∠1 and ∠2 are supplementary, that is, their addition is equal to 180º. ∠2 ≅ ∠6 and ∠6 ≅ ∠14, then ∠2 ≅ ∠14, in consequence ∠1 and ∠14 are supplementary.

storchak [24]3 years ago
6 0

Answer:

a

Step-by-step explanation:

Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

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Which values of a and b make the following equation true? a = 11, b = 7 a = 11, b = 10 a = 28, b = 7 a = 28, b = 10
xz_007 [3.2K]

Answer:

The answer is

<h2>a = 11, b = 7</h2>

Step-by-step explanation:

( {5x}^{7}  {y}^{2} )( { - 4x}^{4}  {y}^{5} ) =  - 20 {x}^{a}  {y}^{b}

Multiply the terms on the left side of the equation

That's

- 20 {x}^{11}  {y}^{7}  =  - 20 {x}^{a}  {y}^{b}

Since the bases are the same we can equate the exponents

That's

{x}^{11}  =  {x}^{a}

a = 11

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{y}^{7}  =  {y}^{b}

b = 11

Therefore

a = 11 and b = 7

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Step-by-step explanation:

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