Let angle be x, then
180 - x + 6 = 2x
3x = 186
x = 62
so the 2 angles are 62 and 118
Answer:
388.5yd²
Step-by-step explanation:
We have Triangle TUV
In the question, we are given already
Angle U = 32°
Angle T = 38°
Angle V = ???
Side t = 31yd
Side u = ?
Side v = ?
Area of the triangle= ?
Step 1
We find the third angle = Angle V
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (32 + 38)°
= 180° - 70°
Angle V = 110°
Step 2
Find the sides u 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 TUV
t/ sin T = u/ sin U = v/ sin V
We have the following values
Angle T = 38°
Angle U = 32°
Angle V = 110°
We are given side t = 31y
Finding side u
u/ sin U= t/ sin T
u/sin 32 = 31/sin 38
Cross Multiply
sin 32 × 31 = u × sin 38
u = sin 32 × 31/sin 38
u = 26.68268yd
u = 26.68yd
Finding side x
v / sin V= t/ sin T
v/ sin 110 = 31/sin 38
Cross Multiply
sin 110 × 31 = v × sin 38
v = sin 110 × 31/sin 38
v = 47.31573yd
v = 47.32yd
To find the area of triangle TUV
We use heron formula
= √s(s - t) (s - u) (s - v)
Where S = t + u + v/ 2
s = (31 + 26.68 + 47.32)/2
s = 52.5
Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)
Area of the triangle = √150967.6032
Area of the triangle = 388.5454973359yd²
Approximately to the nearest tenth =388.5yd²
(2/3)*((2/3)*m-(2/3)) = 0
(2/3)*((2/3)*m-2/3) = 0
2/3*(2/3*m-2/3) = 0
2/3*m-2/3 = 0 // + 2/3
2/3*m = 2/3 // : 2/3
m = 2/3/2/3
m = 1
Answer:
x = -4
Step-by-step explanation:
So we start with the equation -6x - 7 = -1(-9 + 2x)
Then we distribute the -1 to the -9 and the 2x so we get: -6x - 7 = 9 - 2x
Now we make the x-values on one side and the numbers on the other side like this:
-6x + 6x - 7 - 9 = 9 - 2x + 6x - 9
-16 = 4x
Now we divide 4 / -16 which gives us x = -4
-16/4 = 4x/4
x = -4
Your welcome
