M < 2 = m < 6...corresponding angles
m < 5 = m < 8....vertical angles are congruent
Answer:
<em>x = 30.2 units</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.
We use the cosine ratio to calculate x:


Solving for x:


x = 30.2 units
Answer:
? = 3
Step-by-step explanation:
given a line parallel to a side of the triangle and intersecting the other 2 sides, then it divides those sides proportionally , that is
=
( cross- multiply )
4? = 12 ( divide both sides by 4 )
? = 3
Answer:
3
Step-by-step explanation:
Evaluating the limit of the function 9n - 3n / 2n.
First we factor out n from the numerator of the function to have
F(n) = n(9-3)/2n
Cancelling the variable n at the numerator with the one at the denominator we have:
Iim f(n) = 9-3/2
Iim f(n) = 6/2
Lim f(n) = 3
This shows that the limit of the function given is 3 no matter what the variable x is tending to.