Answer:
∠Q ≈ 42.969, ∠P ≈ 52.03, QR ≈ 15.036
Step-by-step explanation:
Law of sines:
13/sin Q = 19/sin 85°
=> sin Q = 13 × sin 85°/19
=> Q = sin^-1 (13 × sin 85°/19)
=> Q ≈ 42.969
∠P=> 180 - 85 - 42.969 ≈ 52.03
QR/sin 52.03° = 19/sin 85°
=> QR = sin 52.03° × 19/sin 85°
=> QR ≈ 15.036
To find the equation of a line using two coordinate points, use the slope intercept formula, (y2-y1)/(x2-x1). Using this formula, plug in your values from the two coordinates (-5, -5) and (1, -3). This would look like this:
(-3-(-5))/(1-(-5))
When simplified, you should get 2/6 or 1/3 as your slope or m value. Now that you have your slope, now use your slope intercept equation y=mx+b and plug in your known values. Since you know the m value is 1/3 and you can use one of your set of points to plug into the x and y values, you can plug in these values and solve for b (the coordinate you use doesn't matter but I'm just using the (1,-3)). This would look like this:
-3=1/3(1)+b
When you simplify, you should get -3=1/3+b and when you subtract both sides by 1/3, you should get b=-10/3.
Now that you have your m and b values, you can conclude that your equation for the line would be y=1/3x-10/3
Let x = inches of snow reidville gets
12x = inches of snow greenboro gets
x + 12x = 65
13x = 65
x = 5
Reidville gets 5 inches of snow.
Answer:
Step-by-step explanation:
3x²-17x=-10
3x²-17x+10=0
3x²-2x-15x+10=0
x(3x-2)-5(3x-2)=0
(3x-2)(x-5)=0
3x-2=0,x=2/3
x-5=0,x=5
Answer:
36 years old (jim)
Step-by-step explanation:
looks like a good ol' word problem!
first, if you don't know what to do, always assign variables
Jim's age: x+9
June's age: x
Alex's age: x-8
we know the sum of their ages which is 82
so, x+9+x+x-8=82
simplify
3x+1=82
3x=81
x=27, but we're not done yet
Now we know x
jim: 36
june: 27
Alex: 21
so the oldest is jim at 36
