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2 years ago

Identify the pair of angles shown in the figure. answers A. LINEAR PAIR B. COMPLEMENTARY C. CONGRUENT D. VERTICAL

Mathematics

2 answers:

Alja [10]2 years ago

7 0

Answer:

Linear Pair.

Step-by-step explanation:

Note that Line PS is a straight line, or that it's angle measurement = 180°.

The pair of angles you are looking at are ∠PQR & ∠SQR

Note that:

m∠PQR + m∠SQR = 180°, as angle PQR + angle RQS = angle PQS.

By definition of Linear Pair, the two angles, when added, must equal 180°, or form a straight line.

posledela2 years ago

4 0

Answer:

linear pair

Step-by-step explanation:

The two angles add together to form a straight line, which is 180 degrees.

These angles are supplementary, or a linear pair

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Answer:

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Step-by-step explanation:

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3 years ago

Goran is on his way home in his car. He has driven 12 miles so far, which is two-thirds of the way home. What is the total lengt

Vinil7 [7]

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2 years ago

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3 years ago

Which equation represents the hyperbola in general form?

valina [46]

ANSWER

$9 {y}^{2} - 4 {x}^{2}- 36y + 16x - 16 = 0$

EXPLANATION

The standard equation of the hyperbola is

$\frac{ {(y - 2)}^{2} }{4} - \frac{ {(x - 2)}^{2} }{9} = 1$

We multiply through by 36 to obtain:

$9 {(y - 2)}^{2} - 4( {x - 2)}^{2} = 36$

We now expand to get,

$9( {y}^{2} - 4y + 4) - 4( {x}^{2} - 4x + 4) = 36$

Expand :

$9 {y}^{2} - 36y + 36 - 4 {x}^{2} + 16x - 16 = 36$

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$9 {y}^{2} - 4 {x}^{2}- 36y + 16x - 16 = 0$

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3 years ago