Answer:
Domain = {All real values of x EXCEPT x = -5 and x = 7}
Step-by-step explanation:
This is a rational function given as y=\frac{6+9x}{6-|x-1|}y=
6−∣x−1∣
6+9x
The domain is the set of all real value of x for which the function is defined.
For rational functions, we need to find which value of x makes the denominator equal to 0. We need to exclude those values from the domain.
Now
6 - |x-1| = 0
|x-1| = 6
x- 1 = 6
or
-(x-1) = 6
x = 6+1 = 7
and
-x+1=6
x = 1-6 = -5
So, the x values of -5 and 7 makes this function undefined. So the domain is the set of all real numbers except x = -5 and x = 7
Given that the triangles are similar.
When triangles are similar, all three pairs of corresponding sides are in the same ratio.
Similarly in the given triangles, the ratio of the corresponding sides are equal.


Cross multiplying, we get



Dividing both sides of the equation by -4.
So, we get
x = 7.
You will notice that 48°, x, and x lie upon a straight line. The sum of those angles must then be equal to 180°. Which means:
48+x+x=180
48+2x=180
2x=132
x=66°
Answer:
Last option 30°
damm sure about it
Step-by-step explanation:
value of x is 23 but value of Angle ABC will be x +7 i.e. 30