Well, first let's identify which answers are incorrect, then it will be easier to figure out which are correct.
A. Equilateral: An equilateral triangle is a triangle with 3 equal sides. Since there are 180 degrees in a triangle, an equilateral triangle would have three sides of 60 degrees, and none of 45 degrees. Answer? Incorrect.
B. Isosceles: An isosceles triangle has two sides that are equal. 45 and 45 are equal, therefore, this answer is: Correct!
C. Scalene: A scalene triangle has three unequal sides, therefore, this answer is incorrect.
D. Obtuse: An obtuse triangle has one angle that is more than 90 degrees, therefore, since 45 and 45 equal 90 already, this answer is: incorrect.
E. Right: A right triangle has one right angle (angle that equals 90 degrees) since 45 + 45 = 90, and 90 + 90 = 180, this answer is: Correct!
F. Equiangular: This last choice is practically the same as the first, therefore the answer is: incorrect.
The two correct answers are: B Isosceles, and E Right!
Answer:
5/12
Step-by-step explanation:
1. Convert 1/4 to 3/12, then convert 1/3 to 4/12
2. Then add 3/12 and 4/12 together, which would be 7/12
3. Then subtract 12/12 by 7/12 which would be 5/12
So, 5/12 is your answer.
Hope this helps
Answer: C
Step-by-step explanation: If this is drawn to scale, 12 15 and 30 make absolutely no sense, because if you multiply any of those numbers by 5 your gonna get a number bigger than 60.
Therefore, 6 is the answer
Answer:
Both sports = 15
Step-by-step explanation:
Remark
What an interesting question. At first I didn't think it was possible. Then I saw the word only. That made all the difference in the world.
Givens
Football only = 35
Volleyball only = 15
Ratio = 5/3
Equation
Let the number of students who play both = x
Volleyball / Football = (x + 15) /(x + 35) = 3/5
Solution
(x + 15) / (x + 35) = 3/5 Cross multiply
5*(x + 15) = 3(x + 35) Remove the brackets
5x + 75 = 3x + 105 Subtract 3x from both sides
<u>3x 3x</u>
2x + 75 = 105 Subtract 75 from both sides
<u> - 75 -75 </u>
2x = 30 Divide by 2
2x/2 = 30/2
x = 15
15 people play both sports.
You take 4/15 and make the denominator 315
4/15 = ?/315
15 x 21 = 315
4 x 21 = 84
4/15 = 84/315
so 84 of 315 members are male
315 - 84
= 231
231 are female