Answer:
D. <b ≅ <g
Step-by-step explanation:
Given that lines p and q are parallel to each other, therefore the following can be concluded:
✔️<f ≅ <h, this is because they are both Vertical angles.
✔️<d and <h are supplematry, this is because they are same side consecutive interior angles. Consecutive angles are supplematry.
✔️<a and <b are supplematry, this is because they are linear pair angles.
✔️<b cannot be congruent to <g. They are not corresponding angles, nor are they alternate interior angles.
f(h(x))= 2x -21
Step-by-step explanation:
f(x)= x^3 - 6
h(x)=\sqrt[3]{2x-15}
WE need to find f(h(x)), use composition of functions
Plug in h(x)
f(h(x))=f(\sqrt[3]{2x-15})
Now we plug in f(x) in f(x)
f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6
cube and cube root will get cancelled
f(h(x))= 2x-15 -6= 2 x-21
84/4=21
now take the 2 even numbers below 21 and the 2 even numbers above 21
18 +20 + 22 +24 = 84
the numbers are 18, 20, 22 & 24
The y intercept is 2, because that is the value of y when it crosses the y axis.
Since the line is pointing down, it has a negative slope, and since the y value goes down 2 for every 3 x values, the slope is -2/3. You should always right the slope in rise/run form, or change in y/change in x.
Finally, write the equation in the form of y=mx+b, where m is the slope and b is the y intercept. This means the equation of the line is y=-2/3x+2.
