Answer:
∠XVW = 36°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠WXY is an external angle to the triangle and
∠XVW and ∠VWX are the 2 opposite interior angles, thus
6x - 19 = x + 17 + 3x + 2, that is
6x - 19 = 4x + 19 ( subtract 4x from both sides )
2x - 19 = 19 ( add 19 to both sides )
2x = 38 ( divide both sides by 2 )
x = 19
Hence
∠XVW = x + 17 = 19 + 17 = 36°
Looks more like Trig than Algebra II
They want us to apply the sum angle formula to 
5π/6 is 150°; I find it easier to think in degrees.
When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.
The sine sum angle formula is
We know sin 150° = sin 30° = 1/2 and cos 150° = - cos 30° = -√3/2
Third choice
Answer:
Length = 7.05m
Step-by-step explanation:
Breadth is just a fancy word for width. We know that the width is 2.6 m and the total area is 18.33 m². We also know that the formula for the area of a rectangle is l*w, length times width. Remember, we are looking for l.
Set up an equation: l*w=A
Where:
- l = Length
- w = Width
- A = Area
Plug in the known values.
l*w=A
l * 2.6 = 18.33
Solve for l. Isolate the variable by dividing both sides of the equation by 2.6:
l = 7.05
You can easily check your work by finding l*w now that you know both values. Always remember to put the unit back into your answer! So your final answer should be l=7.05 m
The domain is 1,3,5-3 and the range is -2,-14,2
