In a typical 30-60-90 triangle (which happens to be a right triangle, by the way), the sides, in increasing order, would be multiples of 1, sqrt(3) and 2.
Here, sqrt(3) is the longer leg (it's longer than 1).
Thus, the ratio of the length of the longer leg to the length of the hypotenuse
is sqrt(3)
----------
2
Y= x-4: gradient is 1 ; y- intercept is -4
g= -3+6
g= 3: y-intercept is 3; gradient is 0
Then you graph it
After graphing it you should find the intersection of this two line which I marked on the graph.
I’m not sure if the question is just asking you to show how these two functions are expressed on a graph or does it actually ask you to find the intersection of the two lines
But yea the coordinates of the intersection is (7,3)
In geometry<span>, the </span>angle bisector theorem<span> is concerned with the relative </span>lengths<span> of the two segments that a </span>triangle<span>'s side is divided into by a line that </span>bisects<span> the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
</span>I believe that the answer is congruent
https://en.wikipedia.org/wiki/Angle_bisector_theorem
Answer:
C) 30.9702
Step-by-step explanation:
Take log of both sides:
In5^x = In8^x - 7
Rewrite it using the laws of log:
xIn5 = (x - 7)In8
x / (x - 7) = ln 8 / ln 5
x / (x - 7) = 1.292
x = 1.292x - 9.044
1.292x - x = 9.044
x = 9.044 / 0.292
Thus, x = 30.9702