Step-by-step explanation:
Given mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", then the expression mCDE = mCDF+mFDE is true.
To get x, we will substitute the given angles into the formula as shown;
(10x – 18) = (3x + 14)+ (5x - 2)
10x-18 = 3x+5x+14-2
10x-18 = 8x+12
10x-8x = 12+18
2x = 30
x = 30/2
x = 15
Find the measure of each angle
For mCDF:
mCDF = 3x + 14
mCDF = 3(15)+ 14
mCDF = 45+14
mCDF = 59°
For mFDE:
mFDE = (5x - 2)
mFDE = 5(15) - 2
mFDE = 75-2
mFDE = 73°
For mCDE:
mCDE = (10x – 18)
mCDE = 10(15) - 18
mCDE = 150-18
mCDE = 132°
You get it by cross multiplication
10×9÷3=30 and if you want to check
30 over 9 =3.333
10 over 3 = 3.333
Answer:
A
Step-by-step explanation:
Using PEMDAS you start with multiplication first, so -2 multiplied by -6, which is positive 12. Then you go from left to right, so 4 +-3, or 4-3, which is 1. Then 1-12 is -11. So your final answer is A, -11.
1/2 pieces of the hole because you can simplify 2/4 by dividing it by 2 and you'll get 1/2
D) 24/65 because it represents the number of players with 1-5 years of experience out of the overall total interviewed.
E) 3/11 because out of the eleven rookies, only three of them were under 200 lbs.
F) out of the 8 that reported to be under 200 pounds, only 3 were rookies, so the probability is 3/8
