Answer:
x=9 and y=9
Step-by-step explanation:
solve for the 60 degree triangle first. so we know the sum of the angles in a triangle is 180 degrees. then .
Rule for 30 60 90 triangle:
180-60-90=30 for the triangle on the right. use the rule for 30 60 90 triangle, which is the shortest side (opposed to 30-degree angle) is x, the second-longest side (opposed to 60-degree angle) is , and the hypotenuse (opposed to 90-degree angle) is 2x.
Solve:
the hypotenuse right here is and the rule for hypotenuse is 2x. set equation 2x= and solve for x. x=. this is only the answer for the shortest side of the triangle on the right.
now solve for y on your picture. look at the rule for the second-longest side (). plug that we solved before to , so ()(). you get y=9.
Rule for 45 45 90 triangle:
180-45-90=45 for the triangle on the left. Use the rule for 45 45 90 triangle, which is the length of the hypotenuse is times the length of a leg, and the two legs have the same length.
Solve:
On the picture, the y is one of the legs. So now (9)() and get your x, the hypotenuse. x=9
Answer:
The circled in in the image.
Step-by-step explanation:
The input and outputs matched the ones that were asked for.
16.22÷2=8.11
8.11*6=48.66
So they would cost $48.66
Hope this helps!
Set up the ratio for N.A butterflies to S.A butterflies: 5/3=30/x. Solving for x, you get that there are 18 S.A butterflies.
Set up the equation 3/2=30/x. Solving for x, you get that there are 20 European butterflies.