Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
What is the question pls so I might be able to help
Answer:

Step-by-step explanation:
The given function is f(x)=x.
If we stretch vertically by a factor of 4 and a translation of 4 units up then the new function becomes

But f(x)=x
We substitute to obtain the equation of g(x) as

y < -|x|
replace the letters with the given numbers:
(1,-2) -2<-|1| this is true
(1,-1) -1 <-|1| this is false
(1,0) 0 < -|1| this I false
The answer is (1,-2)
So 20% of 30 is 6
30% * 30 is 9
Alexa completed 6 of 30 questions
Brent completed 9 of 30 questions
Brent completed 3 more questions than Alexa
Hope this helps :)