Answer:
It looks right to me good job
Measure of the angle m ∠ RQS = 58 ° for the given circle with arc RS subtending m ∠RPS=14 x + 46 ° at the center P and m ∠ RQS = 3 x + 43 ° at Q, on the circumference.
As given in the question,
Measure of the angle is given by :
m ∠ RPS=14 x + 46 °
m ∠ RQS=3 x + 43 °
m ∠ RPS = twice m ∠RQS (angle subtended at center of the circle)
14 x +46 =2(3 x + 43)
⇒ 14x + 46 = 6x +86
⇒ 14x-6x=86-46
⇒8x=40
⇒ x=5°
m ∠ RQS = (3 x + 43) °
=[3(5) + 43 ]°
= 58°
Therefore, measure of the angle in the given circle m ∠RQS is equal to the 58 °
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Answer:
see explanation
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes equals - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Consider the given equations
3x - 4y = 12 ( subtract 3x from both sides )
- 4y = - 3x + 12 ( divide terms by - 4 )
y =
x - 3 ← in slope- intercept form
with slope m = 
3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )
y = -
x + 4 ← in slope- intercept form
with slope m = - 
Then
× -
= - 1
Since the product of their slopes = - 1 then the lines are perpendicular
Answer:

Step-by-step explanation:
Complex numbers identity:
The complex numbers identity is:

Square of the sum:

In this question:





So

Answer:
Q
Step-by-step explanation:
5x+15y ≥ -20
Solve for y
15 y≥ -5x-20
Divide by 15
y ≥ -5x/15 -20/15
y ≥ -1/3 x -4/3
Y is greater than or equal to so shade above and on the line
4x-2y > 6
Solve for y
-2y > -4x+6
y < 2x -3
Shade below the line
The double shaded area is the solution