Answer:
Each base angle is 81°
Step-by-step explanation:
A pennant is in the shape of an isosceles triangle and the vertex angle is 18°.
An iscosceles triangle has two equal sides and two equal angles.
So assuming the base angles measure b° each;
b° + b° + 18° = 180° (angles in a triangle add up to 180°)
2b° = 180° - 18° = 162°
b = 162° ÷ 2 = 81°
So each base angle is 81°
Answer:
<u>375 Adult Tickets.</u>
Step-by-step explanation:
Here, we can simply set up an equation using variable <em>x </em>in place of the unknown student/adult tickets.
x = # of <u>adult</u> tickets sold
x + 65 = # of <u>student</u> tickets sold.
1) x + x + 65 = 815 (set both ticket amounts equal to the total)
2) 2x + 65 = 815 (added common variables together)
3) 2x = 750 (negated the +65, subtracted it from both sides)
4) x = 375 (divided both sides by 2)
5) 815 - 375 = 440 (subtracted the x from the total number of <u>adult</u> tickets, to recieve the amount of <u>childrens</u>' tickets.
Therefore,
Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.
Answer:
(x-20)(x+3)
Step-by-step explanation:
The first thing we must do for this case is to see how many representatives from each country attended.
We have then:
Argentines = (1/6) * (120) = 20
Chileans = (1/5) * (120) = 24
Bolivians = (1/4) * (120) = 30
Venezuelans = (1/4) * (120) = 30
Adding we have:
20 + 24 + 30 + 30 = 104
Therefore the number of Americans is:
120-104 = 16
Answer:
16 Americans attended the wind energy conference
Answer:
6.75
Step-by-step explanation:
10.00-3.25= 5.75
the first pieces of information are irrelevant