Answer:
Initial equation: 5x + 2 = 3x + 12
x = 5
Step-by-step explanation:
Point C is the midpoint between A and B.
This means that:
AC = CB
We have that:
AC = 5x + 2
CB = 3x + 12
Since AC = CB, the initial equation is:
5x + 2 = 3x + 12
Now we can solve
5x + 2 = 3x + 12
5x - 3x = 12 - 2
2x = 10
x = 10/2
x = 5
Answer:
third number = 4,
equation of y, y = 5x - 11
equation of n, n = 4x
equation of x, n + x + y =19
Step-by-step explanation:
so lets write evertything as a n equation. n + x + y =19. N is the first number, x is the second number, and y is the third number. We will write the equation for y as follows 5x - 11. N will be four times the second number, so 4x. If substitute the values for out equation for x we will find what x equals to. So (4x) + x + (5x - 11) = 19
10x = 30
x = 3.
Then you substiute the answer for x in the equation for y. This will get you 5(3) - 11
15 - 11
4 = third number
Answer:
35°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides of a right triangle. The pole and its shadow form the legs of the right triangle with the side adjacent to the angle of elevation being the shadow. "TOA" tells you ...
Tan = Opposite/Adjacent
tan(elevation angle) = (pole height)/(shadow length)
tan(elevation angle) = 35/50 = 0.7
The inverse tangent function, arctan( ) or tan⁻¹( ), is used to find the angle from the value of its tangent.
elevation angle = arctan(0.7) ≈ 34.99° ≈ 35°
