Answer:
40°
Step-by-step explanation:
As sum of angles of the triangle is 180°
therefore the third angle will be 180 -( 75 + 65)=40°
x=40°= vertically opposite angle
9) x= -6
10) x= 3/2
11) x= -4,0,5
12) no solution
Answer:
Step-by-step explanation:
You need to find the set of points that will yield a slope that is the negative reciprocal of the slope of Line L because perpendicular lines have negative reciprocal slopes. The negative reciprocal of 13/7 is -7/13. Which set of points will produce this result? The formula for finding the slope is:
m = (y2 - y1)/(x2 - x1)
Consider the second set of coordinates.
(2 - (-5))/(-7 - 6) = (2 + 5)/(-13) = -7/13
The second set of coordinates satisfy the condition.
Answer:
Step-by-step explanation:
sec (-x)-sin (-x) tan (-x)=cos x
sec(x)-(-sin x)(-tan x)=cos x
1/cos x-sin x(sin x/cos x)=cos x
multiply by cos x
1-sin ²x=cos²x
or 1=sin²x+cos²x
which is true.
Answer:
The solution set would be all real numbers
Step-by-step explanation:
Remember that you should pass from one side to the other the terms which are similar, that is to say x with x and numbers with numbers. In doing so you must be sure to change the sign of the term if it is passed from one side to the other.
In this case it would be:
4x + 7x + 1 < 11x + 2
(Four plus seven is 11)
11x + 1 < 11x + 2
We can see that x is eliminated, because we change the sign on 11 to be -11:
11x - 11x + 1 < 2
1 < 2
This result means that no matter which value we give to x, the inequality will be always true. For that reason the answer is all real numbers
