Answer:
x = 2√3 ≈ 3.464
Step-by-step explanation:
The side marked x is opposite the given 30° angle. The side marked 6 is adjacent to that angle. The trig function relating opposite and adjacent sides of a right triangle is ...
Tan = Opposite/Adjacent
Filling in values, we have ...
tan(30°) = x/6
Multiplying by 6 gives ...
x = 6tan(30°) = 6(√3/3)
x = 2√3 ≈ 3.464
Your numbers are all over the place, I will assume that you are saying that the slope is 13.
Looking at the formula for calculating slope/gradient, it is Rise/Run.
Rise/Run = y2 - y1 divided by x2 - x1. The reason for this is because if you minus one y value from the other y value you get the difference in values which is the rise, and if you minus one x value from the other x value you get the difference in value which is the run.
So by using this formula, you get:
(7 - 6) / (v - 9) = 13
Therefore 1/(v - 9) = 13
If you multiply both sides by (v-9), you get 1= 13v - 117
you rearrange it to 13v = 118
If you divide by 13, you get your answer = 9.0769
You can check your answer by putting this value back into the gradient formula.
(7-6)/(9.0769-9)
=13.004
Answer: it seems to be Liner
Step-by-step explanation:
Has a Constant rate
Step-by-step explanation:
29x - 3 + 15x + 7 = 180° because these two angles are supplementary
if we add like terms
44x + 4 = 180
44x = 176 divide both sides by 44
x = 4
29x - 3 = 13y - 17 because alternate exterior angles has same measurement
since we found the value of x let's rewrite the equation
4 × 29 - 3 = 13y - 17
113 = 13y - 17
130 = 13y divide both sides by 13
10 = y