I believe it is 1 wayyyyy
Answer:
ΔLMN ≅ ΔLQP by (SAA)
Step-by-step explanation:
It is given that line (NM) is congruent to the line (PQ), meaning they have the same measure. This is signified by the small red line on each of these sides.
Moreover, it is also given that angle (MNL) is congruent to angle (QPL), this is shown by the red arc around these angles.
Finally one can figure out that angle (NLM) is congruent to angle (PLQ) by the vertical angles theorem. The verticle angles theorem states that when two lines intersect, the opposite angles are congruent.
Thus the two triangles are congruent by side-angle-angle postulate, abbreviated as (SAA).
Let's solve your equation step-by-step.
6.75+38x=1314
Step 1: Simplify both sides of the equation.
38x+6.75=534
Step 2: Subtract 6.75 from both sides.
38x+6.75−6.75=534−6.75
38x=132
Step 3: Multiply both sides by 8/3.
(83)*(38x)=(83)*(132)
x=523
Answer:
x=1713
In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.
[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.
x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56
I don't think I made a mistake, but it is sure possible.Check the numbers and my method.
No it does not stay the same
Original ratio is 6:5 which means it will only stay the same if the amount of movies to band is taken at multiples of this ratio. per sample if 24 movies are sold then
24/6=4 so you will have to multiply or sell 5*4=20 of the band ones to be able to keep same ratio.