In the figure below, A, B, C, D, and E are collinear. Line segments CF and CD are the same length. The measure of ∠ABG is 56o, and the measure of ∠BFC is 60o. What is the measure of ∠FDC?

I did these questions before, I still remember my answers.

1. (a) Yared will still need to finish wrapping 4 presents when Luke finished wrapping all of his own presents.

 

Yared takes 15 minutes to wrap 3 presents, and Luke takes 20 minutes to wrap 5 presents.

 

I divided 15 by 3 to get 5, and did the same with Luke, and I got 4. Both boys have a total amount of 20 presents to wrap, so I multiplied 5 by 20, to get 100, and I multiplied 4 by 20, and got 80.

 

I subtracted 100 by 80, and got a 20.  Since I am finding information for Yared, I’m going to use 5, I divided 20 by 5, and got 4.

 

 

(b) Yared still needs to wrap 20% of his presents when Luke has finished wrapping presents.

 

Since the total amount of presents to wrap is 20, I divided that by the total amount of presents that Yared still needs to finish wrapping, which is 4. 4 divided by 20 is 0.2, and I multiplied 0.2 by 100, 100 is the whole, and I got 20.

 

2. (a) 50 people said their favorite color was red.

Since there is 250 people in total, I used the percentage of the color red, which is 20%, and multiply it by 250.  20 divided by 100 is 0.2, and I multiply 0.2 by 250, which got me 50. 

(b) 20 more people said their favorite vehicle color was blue compared to those who said white. I used the same formula as (a). The percentage of blue is 32%, so I divided 32% by 100, and I got 0.32. I multiplied the total amount of people, which is 250, by 0.32, and I got 80. The total amount of people who said they liked blue is 80.       The percentage of people who said they like white is 24%, so I divided 24% by 100, and I got 0.24. I multiplied that to 250, and got 60. The total amount of people who said they liked white is 60.   I subtracted 80 to 20, to get 20.  

(c) 45 people said their favorite vehicle color was black.   I divided 18 by 100, and got 0.18. I multiplied 0.18 by 250. I got 45.

3. (a) The total number of pitches Haruto threw in this game is 90 pitches.

 

(b) The number of strikes and the total number of pitches he threw in this game is 80 total pitches.

 
Hoped I helped!