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ycow [4]
3 years ago
11

If two angles are abtuse then they must be congruent

Mathematics
1 answer:
guajiro [1.7K]3 years ago
8 0

Answer:

False

Step-by-step explanation:

An obtuse angle is an angle greater than 90 and smaller than 180.

Both 120 and 135 are obtuse angles.

But they are not congruent.

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You inherit one hundred thousand dollars. You invest it all in three accounts for one year. The first account pays 4% compounded
77julia77 [94]
Let x = amount invested in the 1st account
      y = amount invested in the 2nd account
      z =  amount invested in the 3rd account

Because the total investment is $100,000, therefore
x + y + z = 100,000             (1)
Interest earned in one year from the accounts is $3,650, therefore
0.04x + 0.03y + 0.02z = 3,650
or
4x + 3y + 2z = 365,000      (2)

Because x = 5y, therefore obtain these 2 equations:
5y +y +z = 100,000
or
6y + z = 100,000          (3)
4*(5y) +3y + 2z = 365,000
or
23y + 2z = 365,000      (4)

Substitute z=1000,000 - 6y from (3) into (4).
23y + 2(100,000 - 6y) = 365,000
23y + 200,000 - 12y = 365,000
11y = 165,000
  y = $15,000
Therefore
  x = 5y = $75,000
  z = 100,000 - 6y = $10,000

Answer:
The amounts invested are
1st account: $75,000
2nd account: $15,000
3rd account: $10,000

5 0
3 years ago
4) The frame is being enlarged to hang on a gallery wall. Using the scale factor of 1in=2.5ft., give the new dimensions of the o
posledela

Outside length is 7 inches

Outside Width is 5 inches.

 

SOLUTION

Length of outside edge = 7 inches

Scale Factor: 1in = 2.5ft

New length of outside edge = (7 * 2.5)ft

New length = 17.5ft

 

Width of outside edge = 5 inches

Scale Factor: 1in = 2.5ft

New width of outside edge = (5 * 2.5)ft

New Width = 12.5ft

 

Therefore, the new dimension of the outside edges of the frame is 17.5ft by 12.5ft

5 0
4 years ago
Principal amount $10,000
Burka [1]
The answer will be $13,439.16
3 0
4 years ago
2,-4,8,-16<br> What is the next term in the sequence?
gavmur [86]

Answer:

32

Step-by-step explanation:

every time we are multiplying by -2 so if we do -16 x -2 we will get postive 32

7 0
4 years ago
Read 2 more answers
Uporządkuj jednomian
andreyandreev [35.5K]
B is the answer fam because I did this before and b was the answer
4 0
2 years ago
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