Answer: 30 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees, so you can just write an equation to solve for the measure of angle F. Also, angle C is congruent to angle F because of CPCTC
124 + 26 + F = 180
150 + F = 180
F = 30
The measure of angle F is 30 degrees
Answer:
a= 18 girls in the class, b= 20 boys and 15 girls, 12 oranges better price.
Step-by-step explanation:
for question a, there are 18 girls in the class, this is how i worked it out:
the ratio of boys to girls is 4:3.
there are 24 boys.
24 is 6 times more than 4.
if boys are 6 times more than the original ratio, we also have to times the amount of girls by 6.
6x3= 18.
for question b i got 20 boys and 15 girls, this is how i did it.
there are 35 students in total.
4:3= boys to girls.
4+3=7
7 goes into 35 five times.
ratio of boys to girls is 4:3 so 5x4 for boys = 20 and 3x5 for girls = 15.
answer= 20 boys and 15 girls.
12 oranges is a better deal, this is how i worked it out.
it is 60 for 12 oranges.
it is 48 for 8 oranges.
12x5= 60 , 8x6=48.
you only have to times 12 by 5 to get it to the price but you have to times 8 by 6 to get it to the price, proving that 12 oranges for 60 is a better deal.
A movie theater charges 8 dollars for adults and 4 dollars for seniors. On a particular day when 353 people paid an admission, the total receipts were 1688 dollars. How many who paid were adults?
. How many who paid were seniors?
<em><u>Answer:</u></em>
There were 69 adults and 284 seniors
<em><u>Solution:</u></em>
Let "a" be the number of adults
Let "s" be the number of seniors
Cost of 1 adult = $ 8
Cost of 1 senior = $ 4
<em><u>On a particular day when 353 people paid an admission</u></em>
Therefore,
number of adults + number of seniors = 353
a + s = 353
a = 353 - s ---------- eqn 1
<em><u>The total receipts were 1688 dollars</u></em>
Therefore, we frame a equation as:
number of adults x Cost of 1 adult + number of seniors x Cost of 1 senior = 1688

8a + 4s = 1688 ---------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 1 in eqn 2</u></em>
8(353 - s) + 4s = 1688
2824 -8s + 4s = 1688
4s = 2824 - 1688
4s = 1136
<h3>s = 284</h3>
<em><u>Substitute s = 284 in eqn 1</u></em>
a = 353 - 284
<h3>a = 69</h3>
Thus there were 69 adults and 284 seniors in movie theater
The answer would be cos(52°)