The exterior angle theorem states that an exterior angle is equal to the sum of its remote interior angles.
With that we know...
m<QRS+m<RSQ=m<SQP
90+34=x+72
124=x+72
x=52 degrees
answer: 52 degrees
Answer:
sir we need more context
Step-by-step explanation:
Answer:
θ = 5π/6 rad and 11π/6 rad
Step-by-step explanation:
Given the expression cotθ+√3=0
Subtract √3 from both sides
cotθ+√3-√3=0-√3
cotθ = -√3
Since cotθ = 1/tanθ
1/tanθ = -√3
Reciprocate both sides:
tanθ = -1/√3
θ = tan^-1(-1/√3)
θ = -30°
Since the angle is negative, and tanθ is negative in the second and fourth quadrant.
In the second quadrant;
θ = 180-30
θ = 150°
Since 180° = πrad
150° = 150π/180
150° = 5π/6 rad
In the fourth quadrant;
θ = 360-30
θ = 330°
Since 180° = πrad
330° = 330π/180
330° = 11π/6 rad
Hence the solutions are 5π/6 rad and 11π/6 rad.
Graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.
<h3>How to Identify the Graph of the Equation of a Line?</h3>
The equation of a line can be rewritten in slope-intercept form as, y = mx + b.
The graph that represents the equation of the line, would have a slope of m and a y-intercept of b.
Given the equation:
3x + y = -5
Rewrite in slope-intercept form:
y = -3x - 5
The slope of the graph, would be m = -3, and the y-intercept would b b = -5.
Thus, graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.
Learn more about graph of a line on:
brainly.com/question/10790818
Answer:
$25.5
Step-by-step explanation:
Sure, so the total of the
Item:
30 Dollars ($)
and the discount price is
15 percent (%)
So 30 times 0.15 because 30 is the price in total and 0.15 is the percentage but in a decimal form.
30 times 0.15 equals 4.5
4.5 is the amount that 15 % equals.
30 minus (-) 4.5 because once again the total is 30 and since we have a discount price then we minus (-) the discount price by the total and you get
A total with the discount price as 25.5 Dollars or $25.5
Hope this helps ;)
