The exterior angle is supplementary to the adjacent angle (they form a linear pair) and is the sum of the two angles in the triangle that are not adjacent to it. For example, in number 2, the exterior angle is 28+40=68 degrees. You can use the other method to check. 68 degrees is supposed to be in a linear pair with 112 degrees, which it is. So the answer to number 2 would be 68 degrees.
Try doing this for the rest of them
Answer:
what
Step-by-step explanation:
f(x) = 4x
g(x) =
h(x) =
We want to check if h(x) = g(f(x))
So g(f(x)) =
Simplified;
g(f(x)) =
But h(x) =
Hence g(f(x)) is not equal to h(x)
Answer
148cm^2
Explanation
A cuboid has equal width and length as it’s base is a square. So w or l = root 30
Since the volume of a cuboid is
Length • width • height
And we know length and width when multiplied are 30
30 • height = 120
Therefore height = 4
Now for surface area it’s
2 • h • l + 2 • h • w + 2 • l • w
2 • 4 • root 30 + 2 • 4 • root30 + 2 • 30 = 60 + 16root30 = 148~cm^2
<span>In an arithmetic sequence, if a4 = 18 and a10 = 30, determine a1, d, and an.
Then write the first four terms of the sequence.
Use the formula L = A + (N-1)D, where L represents the nth term.
Then, based upon the given info,
18 = A + (4-1)D and 30 = A + (10-1)D.
The first equation boils down to 18 = A + 3D, so that A = 18 - 3D. Subst. 18-3D for A in the second equation: 30 = 18-3D + 9D. Then 12=6D and D = 2.
</span><span>
Use </span>A = 18 - 3D to determine the value of A. Recall that D=2.
Then A = 18 - 3(2), or A = 18-6, or A = 12.
Then L = A + (N-1)D becomes L = 12 + (N-1)(2).
First term is 12. Next is 14; next is 16; last is 18.