Lets us start with finding the inner angles of the triangle. The bottom right angle shall be 70 degrees as it is opposite. The 100 degrees shall add together to make 200. 360-200 = 160. 160 / 2 = 80. So, Now we know bottom left angle (80) and bottom right (70). 80 + 70 = 150. In a triangle, angles add to 180 so 180 - 150 = 30. 30 = 2x which means that x = 15
15
Answer:
Step-by-step explanation:
Just translate the words to numbers. Twice the number of dimes is 2d . Five less means subtract 5 from that. thats the nunber of nickels: n
So your first equation is n = 2d- 5
you know that the value of a nickel is 5 and the value of a dime is 10 and the total value is 115. (skip the decimals for now!) It's all cents. (that should make sense!)
The second equation is 5n + 10d = 115
Substitute the value of n (2d-5) from the first equation into the place of n in the second equation.
5(2d -5) + 10d = 115 now Distribute
10d -25 + 10d =115 and solve for d (add 25 to both sides abd combine d's)
10d + 10d = 115 + 25
20d = 140 divide both sides by 20
d = 7 Put that value in place of d in the first equation and solve for n
n= 2(7) -5 That's 14-5 so n=9
Check values in either equation: 5n + 10d= 115
5(9) + 10(7) = 115
45 + 70 = 115 TRUE! so Jon has 9 nickels and 10 dimes.
Answer:
1. 75% of 10 liters of milk = 0.75 * 10 liters of milk = 7.5 liters of milk
2. To find 75% of a number, multiply the number by 0.75.
Answer:
Step-by-step explanation:
242