Angle 1 = 8x + 45
Angle 2 = x
x + 8x + 45 = 180
combine like terms
9x + 45 = 180
subtract 45 from both sides
9x = 135
divide both sides by 9 to isolate x
x = 15
Angle 1 = 8(15) + 45 = 165 degrees
Angle 2 = 15 degrees
Answer:
1875 square miles
Step-by-step explanation:
There are a total of 10 women and 3 men. Let's define two variables:
- w: land inherited by a woman
- m: land inherited by a man
Given that they inherited a 30000 (square miles) of land and that each brother has inherited double what each sister has inherited, we can establish the next equations:
2*w = m
10*w + 3*m = 30000
Replacing the first equation into the second one, and solving for w:
10*w + 3*2*w = 30000
16*w = 30000
w = 30000/16
w = 1875 square miles
Your mom, and all of her sisters, inherited 1875 square miles each
So, you already know that angle CBD is 68 degrees, and the complementary angle to angle CBD is angle CBA. These angles together make 180 degrees because segment DBA is a straight line consisting of angles CBD and CBA. 180-68(the angle you already know) is 112 degrees for angle CBA. Then you repeat this process to find the other angles
If Jerry, Joe, and David each get 1/3rd of a pizza, how can you express it as an integer?
Trick question - you can't! 1/3rd is 0.3 (with the 3 repeating) which can't be an integer
