Answer:
6.2 units
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.
<h3>Common segment</h3>
To find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:
Sin = Opposite/Hypotenuse
Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591
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<h3>Missing measure</h3>
The side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106
The length of the side marked x is about 6.2 units.
Answer:
B
Step-by-step explanation:
Parallel lines have the same slope while perpendicular lines have slopes which are negative reciprocals.
Here the slope of line m is 5/3.
Here the slope of line n is -3/5.
These lines are perpendicular.
Line n crosses through point k and can be shown through substitution. Substitute (5,-4) into line n.
y = -3/5 x - 1
-4 = -3/5(5) - 1
-4 = -15/5 - 1
-4 = -3 - 1
-4 = -4
The solution is B where n passes through K and the lines are perpendicular.
When dividing by zero you can’t divide anything With it and it can’t equals zero because that would be wrong it would have to be undefined
X^2-6x+18
(X^2-6x+9-9)+18
(X-3)^2-9+18
(X-3)^2+9
Hope this helps!
