Answer:
15 students ride the bus home.
Step-by-step explanation:
Divide 25 by 5. Next multiply the product by 3 and you have your answer.
Answer:
-17.8884
Step-by-step explanation:
- 6.444 - 3.2222 - 8.2222 = -17.8884
I got 14 and 12 but there are other answers as well.
How I got that: I worked backwards. I looked at what two values I could multiply to get 4x^2 and because 4x^2 is a perfect square I just went with the square root (2x). Then I looked at what two pairs I could multiply to get 12 and I went with 3x4 and 6x2. I then plopped those numbers into binomials [(2x+3)(2x+4) and (2x+2)(2x+6)] and simplified (multiplied them) to get the middle value. (I hope this helps)
Answer:
x = 14
y = 14
z= 14
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14 using either Pythagorean Theorem or special right triangle properties for 30-60-90.