Answer: The acute angle between diagonals is 50
Step-by-step explanation:
Red angle = 50 because An exterior angle of a triangle is equal to the sum of the opposite interior angles (pink angles).
Alternatively:
Green angle is 130 by sum of interior angles of a triangle.
Red angle is 50 by Adjacent angles
Since vertical angles are equal you can put the same value to the opposite angles. Also, you were given a supplementary angle which are two angles added to 180 degrees. Of those 180 you were given 100. The angle next to the 100 degrees has a value of 80. With all this, you add all the angles together and put it equal to 180 which is what the angles of a triangle add up to. Then you combine like terms to get the value of X and just replace it for x. After that you just multiply and then add.
Answer:
x = 6
Step-by-step explanation:
Given
3x + 30 + x = 10 + 2x + 5x + 2 , simplify both sides
4x + 30 = 7x + 12 ( subtract 7x from both sides )
- 3x + 30 = 12 ( subtract 30 from both sides )
- 3x = - 18 ( divide both sides by - 3 )
x = 6
Answer: A loss of $35,100
Step-by-step explanation:
The tractor had cost $136,000 and had accumulated a depreciation of $69,900.
This means that the net book value of the tractor was:
= 136,000 - 69,900
= $66,100
The insurance company was supposed to give them this amount but instead gave them $31,000. They will therefore suffer a loss of:
= 66,100 - 31,100
= $35,100
The answer to this question is d because 7 is in the ten-thousand's place and another 7 is in the thousand's place.
