Mathematics, 18.07.2019 19:00 xandreaii

Which lines are parallel if m< 1 +m< 2=180?

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Answer is choice A) j || k by the Converse of the Same Side Interior Angles Theorem

Lines j and k are the upward slanted lines on the left and right respectively. The transversal we only care about is line k. Line g is extra info put in there most likely to throw you off.

The Same Side Interior Angles Theorem says that if two lines are parallel, then the same side interior angles (formed by the transversal cut) are supplementary. Those two same side interior angles add to 180 degrees. The converse reverses the direction of the theorem.

The converse says that if we know the same side interior angles are supplementary, then it leads to the two parallel looking lines to actually being parallel. So this is one way to check parallel-ness of two lines.

Answer from: greyxxamber

A. l║k , by converse of the same side interior angles theorem.

Step-by-step explanation:

Same-side interior angle theorem : If two lines are parallel that are intersected by a transversal line then the sum of same-side interior angles are 180 degrees.

Converse of the same side interior angles theorem : If two lines are cut by a transversal and the consecutive interior angles are supplementary, then the lines are parallel.

In the given picture , we are given two lines l and k intersected by another two transversal lines g and h.

∠1 and ∠2 are the consecutive interior angles formed on line l and k by transversal line h

If m∠1 + m∠2 = 180°

⇒ line l and k are parallel [By converse of the same side interior angles theorem.]

Hence, the correct answer = A. l║k , by converse of the same side interior angles theorem.

Answer from: Quest

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours

Answer from: Quest

Planet earth has a mass of 5.9726x10²⁴ kg.then: 5.9726x10²⁴ kg=100% of the total earth mass.if the water´s mass=5x10-4 % of the total mass, we can solve this problem by the rule of three.5.9726x10²⁴ %*10⁻⁴ %x=(5.9726x10²³ kg)(5*10⁻⁴ %) / 100 %=2.9863x10¹⁹ kganswer: the mass of the planet´s water would be 2.9863 x 10¹⁹ kg.

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