Answer:
a = 50°, b = 130°, c = 20°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles in the right triangle
a + 40° + 90° = 180°
a + 130° = 180° ( subtract 130° from both sides )
a = 50°
a and b are adjacent angles and sum to 180° , so
a + b = 180°
50° + b = 180° ( subtract 50° from both sides )
b = 130°
Then sum the angles in the top triangle, that is
30° + 130° + c = 180°
160° + c = 180° ( subtract 160° from both sides )
c = 20°
Answer:
Here you go, hope this helps
Step-by-step explanation:
50
Answer:
i added the graph below :) hope this helps hun <3
Step-by-step explanation:
Y=(x+3)(x+5)
0=(x+3)(x+5)
0=x+3
Subtract three on both sides
-3=x
0=x+5
Subtract five on both sides
-5=x
So, -3 and -5 are the zeros of the graphed function.
Hope I helped!
21) The perimeter of a square is P=4s where s is the side length. Since all the sides of a square are of equal length, we know that the side lengths must be 12 because if we made the square into two 45-45-90 triangles, the hypotenuse is equal to the side length times the square root of 2. So we do the inverse to get a side length of 12. Now we can do P=4(12) to get a perimeter of 48 units.
22) Now we're doing the opposite. We already have the perimeter, so we need one side length, and that's done by s=P/4 which would be s=48/4 or s=12. Remember that in a 45-45-90 triangle, the hypotenuse is equal to the side length times the square root of 2. So 12*sqrt(2) is 12sqrt(2) miles, and that's your square's diagonal length (coincidentally the same as the previous problem, but just in different units).
Hope these explanations made sense!