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garik1379 [7]
3 years ago
11

Can a parallelogram have two 45 degree angles and two 75 degree angles? Why or why not?

Mathematics
2 answers:
Sergio [31]3 years ago
8 0

Answer:No, the sum of the parallelogram's four angles must be equal to 360

Step-by-step explanation:

All four of a parallelogram's angles must add up to 360. Here, the angles only add up to 45 * 2 + 75 * 2 = 240 degrees.

Also, two adjacent angles must add up to 180. Here, the two adjacent angles 45 and 75 only add up to 120 degrees.

enyata [817]3 years ago
5 0

Answer:

no

Step-by-step explanation:

A parallelogram has to have 4 angles that add to 360 degrees

45+45 + 75+75

90+150

240

This does not equal 360

No

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Answer: 15 and one-half

Step-by-step explanation:

14/2 + 3(4) - (6.5 - 3)

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14/2 + 3(4) - 3.5

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7 + 12 - 3.5

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15.5

4 0
3 years ago
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3. The point D(3, -2) is
ExtremeBDS [4]

Answer:

D' = ( -3, -2)

Step-by-step explanation:

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3 years ago
Dominic is deciding if he should become a member of his local ice rink. The $144 annual membership fee at the ice rink includes
Alenkasestr [34]

Answer:

1. members = $ 160 , non members = $ 80

2. members = $ 168 , non members = $ 120

Step-by-step explanation:

For members

Annual membership = $ 144

rent per visit charges = $ 4

For Non members

parking charges = $ 5

admission charges = $ 11

rent per visit = $ 4

(1) for 4 visits

Members pay = $ 144 + 4 x $ 4 = $ 160

Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80

So, non member ship is better.    

(2) for 6 visits

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6 0
3 years ago
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BartSMP [9]

REVISED ANSWER.

In the picture, I have drawn on the example given. the RC and PD are the same because They are across from each other perfectly. So the answer is still PD=400m but if there can be two answers then I would have to say another possiblity would be 200m for the diameter of the pond. The wording of this problem is tricky and the picture can throw you off a bit but I did my best to answer properly here.

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4 0
3 years ago
determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel
kirza4 [7]

Answer/Step-by-step explanation:

1. YES.

Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)

Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.

2. YES.

Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)

Thus,

128° + 53° = 180°.

3. YES.

Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).

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The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.

4. YES

Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)

Thus, the two exterior angles are congruent, therefore l || m.

4 0
3 years ago
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