a rectangle on a coordinate plane is translated 5 units up and 3 units to the left. which rule describes the translation?

Mathematics

2 answers:

andre [41]1 year ago

9 0

The correct answer is (x, y) → (x – 3, y + 5)

Ymorist [56]1 year ago

5 0

The correct answer is c

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If 8 people can pick the apples from trees in 6 days, how long will it take12 people?

kakasveta [241]

4 days.
If it takes 6 days for 8 people to pick apples then it must take 48 days for 1 person to do it because 6•8=48.
So then it must take 12 people
48/12 days which is 4 to pick apples from trees.

4 0

2 years ago

Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,

ololo11 [35]

Answer:

From the graph attached, we know that $\angle 1 \cong \angle 5$ by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like $\angle 1$ and $\angle 5$ .

We also know that, by definition of linear pair postulate, $\angle 3$ and $\angle 1$ are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that $\angle 3$ and $\angle 1$ together are 180°, because they are on a straight angle. That is, $m \angle 3 + m \angle 1 = 180\°$

If we substitute $\angle 5$ for $\angle 1$ , we have $m \angle 3 + m \angle 5 = 180\°$ , which means that $\angle 3$ and $\angle 5$ are also supplementary by definition.