Answer:
Step-by-step explanation:
If
a = 3+ 10 b
It can be written as
b = (a - 3)/10
But
c = 2 + 5b
Now inserting the value of b from above equation
We get
c = 2 + 5 (a - 3)/ 10
c = 2 + ( a - 3 )/2
2c = 4 + a - 3
a = 2c - 1
Answer:
That is the solutions are:
,
Step-by-step explanation:
The period of 
or 
is 
.
Let's look at the first rotation to see when 
happens.
This happens at 
and also at 
. (Notice I just looked at the x-coordinates because that is what cosine is. Sine is the y-coordinate.)
Now to find the rest of the solutions we can just make full rotations either way to get back to those points .
That is the solutions are:
We need to solve for x
To get x alone we need to remove the denominator 5
To remove denominator 5 we multiply by 5 on both sides
2x = 50
2x means 2 times x
2 is multiplied with x. so to remove 2 we divide by 2
So x= 25
The triangles given below in the diagram are similar by; D: The SSS Similarity theorem.
<h3>How to interpret similar triangles?</h3>
From triangle similarity theorems, we know that;
If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional.
Now, from the given diagram, we see the ratio of corresponding sides are congruent as;
45/30 = 54/36 = 36/24 = 1.5
Thus, the triangles are similar by SSS similarity theorem
Read more about Similar Triangles at; brainly.com/question/14285697
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