If the measure of angle 2 is (5 x + 14) degrees and angle 3 is (7 x minus 14) degrees, what is the measure of angle 1 in degrees
?
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4.
88 degrees
89 degrees
90 degrees
91 degrees
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4.
88 degrees
89 degrees
90 degrees
91 degrees
1 answer:
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The correct answers are:
1) sin(x) =
2) tan(x) =
Explanation:
Given:
Step 1:
Since, according to the Trigonometric identity:
-- (1)
Step 2:
Plug in the value of cos(x) in equation (1):
Step 3:
Take square-root on both sides:
sin(x) =
Now to find the tan(x), we would use the following formula:
tan(x) =
--- (2)
Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) =
Hence tan(x) =
1) sin(x) =
2) tan(x) =
Explanation:
Given:
Step 1:
Since, according to the Trigonometric identity:
Step 2:
Plug in the value of cos(x) in equation (1):
Step 3:
Take square-root on both sides:
sin(x) =
Now to find the tan(x), we would use the following formula:
tan(x) =
Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) =
Hence tan(x) =
Answer:
The GCF is 9
Step-by-step explanation:
In the given polynomial lets represent each term as its factors
=
=
=
45 =
The greatest common factors from each term are 3 , 3
Thus the GCF = = 9