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WINSTONCH [101]
3 years ago
9

If x = 10, which lines are parallel? Check all that apply.

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
7 0

Answer:

b||c; c||d; b||d

Step-by-step explanation:

natita [175]3 years ago
4 0

Answer:

b||c; c||d; b||d

Step-by-step explanation:

Substituting 10 for x, in the angle beside b we have

7(10)-5 = 70-5 = 65

In the angle beside c we have

10(10)+15 = 100+15 = 115

In the angle beside d we have

12(10)-5 = 120-5 = 115

In the angle beside we have

8(10)-25 = 80-25 = 55

The angle beside c has a vertical angle on the other side of c.  This angle would be same-side interior angles with the angle beside b; this is because they are inside the block of lines made by b and c and on the same side of a, the transversal.  These two angles are supplementary; this is because 65+115 = 180.  Since these angles are supplementary, this means that b||c.

The angle beside c and the angle beside d would be alternate interior angles; this is because they are inside the block of lines made by c and d and on opposite sides of the transversal.  These two angles are congruent; this means that c||d.

Since b||c and c||d, by the transitive property, b||d.

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---------------------------------------------------
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If we know that Angle L is congruent to Angle O, then we can use the AAS (angle angle side) congruence property. We have one pair of angles marked by the square marker (angle J and angle M). So they are congruent angles. We have a pair of congruent sides JK = MN = 3. So we're just missing a pair of angles. 

Note: The answer is NOT angle K = angle N because this would mean ASA would be used instead of AAS. The order of the letters is important as it establishes how the sides and angles relate. With ASA, the side is between the angles. With AAS, the side is not between the angles. 

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Step-by-step explanation:

the formula for density is:

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where d is density, m is mass, and V is volume.

solving for m in the last equation:

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so if we find the volume and multiply it by the density d=8.3gr/cm^3  we will get the mass of the object.

The volume of a rectangular prism is given by:

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we substitute to find the volume:

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since the density has units of cm^3 we need the volume also in units of cm^3 , so we make the conversion using:

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