Can someone also help me with this please and thankss
2 answers:
Answer: The measure of angle 3 is 50 degrees.
Step-by-step explanation:
We know that angle 2 is 130 degrees.
Angle 1 and angle 2 are verticle angles which means that they are across and equal to each other.
So angle 1 and angle 2 are 130 degrees.
Add up both angle 1 and angle 2, 130 + 130 = 260.
Now, all of these angles add up to be 360 degrees in total as they make a circle and there are 360 degrees in one.
Subtract 260 from 360, 360 - 260 = 100.
Since both angle 3 and angle 4 are also verticle angles we need to split the 100 degrees evenly, 100 ÷ 2 = 50.
So, angle 3 is 50 degrees.
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(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
= y
Answer for (a):
=
(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y:
Answer for (b):
= 
(c)
replace all t's in the equation with
= 
=
= 
= 
Answer for (c):
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(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1
(e)
h(g(t)) = 8t - 1
y = 8 t - 1
t = 8y - 1
t + 1 = 8y
= y
Answer for (e): inverse of h(g(t)) =
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
Answer for (a):
(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y:
Answer for (b):
(c)
replace all t's in the
=
Answer for (c):
(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1
(e)
h(g(t)) = 8t - 1
y = 8 t - 1
t = 8y - 1
t + 1 = 8y
Answer for (e): inverse of h(g(t)) =