MATHEMATICS HIGH SCHOOL

Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? Check all that applyx = z

x + y = 180°

x + z = 180°

x = y

y + z = 180

Answers

Answer 1

Answer:

we know that

If lines p and q are parallel

then

$x=z$ ---------> by corresponding angles

$x+y=180\°$ -------> by consecutive interior angles

Let's verify all the equations to determine the solution to the problem.

Equations

case A) $x=z$

The equation guarantees that the lines p and q are parallel (see the procedure)

case B) $x+y=180\°$

The equation guarantees that the lines p and q are parallel (see the procedure)

case C) $x+z=180\°$

The equation does not guarantee that the lines p and q are parallel. The only way would be that x-angle and z-angle are right angles

case D) $x=y$

The equation does not guarantee that the lines p and q are parallel. The only way would be that x-angle and y-angle are right angles

case E) $y+z=180\°$

The equation is always true, but toes not guarantee that the lines p and q are parallel.

therefore

the answer is

$x=z$

$x+y=180\°$

Answer 2

Answer:

Answer: The correct options are

(A) x = z.

(B) x + y = 180°.

Step-by-step explanation: Given that the letters x, y and z are angle measures.

We are to select the correct equations that would guarantee that lines p and q are parallel.

Since the lines p and q are parallel, so

(i) the angles with measures x and y are interior angles on the same side of the transversal

and

(ii) the angles with measure x and z are corresponding angles.

We know that

if two parallel lines are cut by a transversal, then the measures of the corresponding angles are equal

and

the sum of the measures of the interior angles on the same side of the transversal is 180°.

Therefore,

x + y =180°, since they are interior angles on the same side of the transversal

and

x = z, since they are corresponding angles.

Thus, the correct options are

(A) x = z.

(B) x + y = 180°.

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====================

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Answers

Answer:

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x = [? ]°
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Answers

Answer:

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Henry ran 1 5/8 miles and 9/10 miles how many miles did he run

Answers

Answer:

Step-by-step explanation:

Here we have the mixed numbers 1 5/8 and 9/10 and must sum them up to find the total number of miles Henry ran.

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Hannah reads 3 pages every 8 minutes. Write an equation that shows the relationship between the number of pages she reads (p) and the number of minutes she spends reading (m).

Answers

Answer: The required relation is,

$p=(3)/(8)m$

Step-by-step explanation:

Since, he reads 3 pages in every 8 minutes.

That is, 8 minutes = 3 pages,

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Also, he is reading with the constant speed,

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Here, p represents the number of pages read in m minutes,

$\implies p=(3)/(8)m$

Which is the required relation between the number of pages she reads (p) and the number of minutes she spends reading (m).

Answer:

p = 3/8 m

BECAUSE MATHHHHHH!!!

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