Answer:
y=57 degrees and x=66 degrees
Step-by-step explanation:
123+57 =180 so angle y=57 degrees
57+57=114 all triangles = 180 degrees so 180-114=66 degrees=X
Answer:
(8, -7)
Step-by-step explanation:
well since it flip over the x-axis only, the 8 stays the same, however, the 7 flips completely to the second quadrant and becomes -7.
Hope this helped and have a amazing day.
6. x = 16; it's a scalene triangle
7. x = 45; it's a right triangle.
Answer:
f(9.5) = 558.02.
Step-by-step explanation:
Because it is an exponential function, it can be written: y = (a)(b)^x
Now substitute in the two known points:
72 = (a)(b)^7.5 and
2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2
72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)
36 = b^3.5: => To isolate b take the 3.5 root of both sides
{3.5 root}(36) = {3.5 root}(b^3.5)
2.783927 = b
Now to solve for a
2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a
Equation: y = (0.0332965)(2.783927)^x
Now plug in 9.5 for x
(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02
Answer:
45 girls
Step-by-step explanation:
If 60% of the class is girls then 40% of the class is boys.
30 boys are in the class, meaning that 40% of the class comprises those 30 boys
First, we need the total number of class members: 30/x = 40/100 -> 40x=3000 -> x=3000/40 -> x=75
Now that we know the total class members, at 75, we can calculate the number of girls in the class. You can do this:
0.6*75=45
or
60/100=x/75 and solve for x
