The lines represented by the equations 12y – 8x = -72 and y = 2/3 x – 3

Mathematics

2 answers:

klasskru [66]2 years ago

5 0

Answer:

They are parallel

Step-by-step explanation:

Same slope but different y-intercept

drek231 [11]2 years ago

4 0

Answer: It is parallel.

Step-by-step explanation: Both equations have the same slope but different y-intercepts, the -3 and -6 in the picture.

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Hannah mixed 6.83 lb of almonds with 3.57 lb of peanuts.After filling up 6 bags that were the same size with the mixture, she ha

Mekhanik [1.2K]

Answer:

0.485 lb

6.83 lb - 3.57 lb = 3.26 lb

3.26 lb - 0.35 lb = 2.91 lb

2.91 lb / 6 = 0.485 lb

3 0

2 years ago

Read 2 more answers

HELP ASAP!!

Tresset [83]

By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.

Then:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are same-side interior angles. Because AB and DC are parallel, the same-side interior angles must be supplementary by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.