Answer: x = 7
Step-by-step explanation: In order for a parallelogram to be a square, the angles at the corners must be 90 degrees, and the diagonals that bisect the corner angles must be 45 degrees.
4x + 17 = 45 Subtract 17 from both sides.
4x = 28 Divide both sides by 4
x = 7
Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.
Step-by-step explanation:
Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.
Then according to the question, 10% of x + 15 % of y = 12% of 1000
⇒ 0.1x + 0.15y = 120
⇒ 10x + 15y = 1200
⇒ 2x +3y = 2400 -------- (1)
And, x + y = 1000
⇒ 2x + 2y = 2000 ---------(2)
Equation 1) - equation 2)
We get y = 400
By putting the value of y in equation 1),
⇒2x + 1200 = 2400
⇒ 2x = 1200
⇒ x = 600
Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.
250 × 3 = 750
Your answer is D. <span>750 mi</span>
Ф is the angle of elevation to the topo of the building from G.
length of leg adyacent to angle Ф=40m
length of leg opposite to angle Ф=15 m
tan Ф=leg opposite / leg adyacent=15/40=0.375
Ф=arctan 0.375=20.56º
The angle of elevation to the top of the building from G is 20.56º.
