Answer:
Hence, option B) is true.
Step-by-step explanation:
Given
g(x) = 2x-5
h(x) = x² - 2
To determine
In order to determine g(h(-8)), first we need to determine h(-8), so
substituting x = -8 in h(x) = x² - 2
h(x) = x² - 2
h(-8) = (-8)² - 2
h(-8) = 64 - 2
h(-8) = 62
so we can write
now, to determine g(62), substitute x = 62 in g(x) = 2x-5v
g(x) = 2x-5
g(62) = 2(62) - 5
g(62) = 124 - 5
g(62) = 119
so,
Therefore,
Hence, option B) is true.
In a parallelogram, the opposite angles will be congruent to each other.
In this parallelogram, angles B and C are congruent, and angles A and D are congruent.
We will work on angles B and C first. Set the two angles to equal each other:
Subtract 6 from both sides:
Subtract 6x from both sides:
Divide both sides by 6 to get x by itself:
x will equal 10.
Set angles A and D to equal each other:
Divide both sides by 3 to get y by itself:
y will equal 18.
The x and y values that make this quadrilateral a parallelogram will be x = 10, and y = 18.