Answer:
Option A
Step-by-step explanation:
It's given that cosθ =
Since, cosθ = =
=
By applying Pythagoras theorem in the right triangle,
(Hypotenuse)² = (Opposite side)² + (Adjacent side)²
(√5)² = (Opposite side)² + (2)²
5 = (Opposite side)² + 4
Opposite side = √(5 - 4)
= 1
Since, sinθ =
=
Since, sine is positive in IInd quadrant,
sinθ =
Therefore, option A will be the answer.
342.0
340.8 plz i just need one brainlyest
Using the given information, the length of WX is 26
<h3>Calculate length of a line</h3>
From the question, we are to find WX
From the given information, we have that
Point X is between W and Y
That is,
WX + XY = WY
Also, from the given information
WX= 8x + 2,
WY= 19x - 11,
and
XY = 4x + 8
Thus,
8x + 2 + 4x + 8 = 19x - 11
Solve the equation for x
8x + 2 + 4x + 8 = 19x - 11
Collect like terms
2 + 8 + 11 = 19x - 8x - 4x
Simplify
21 = 7x
x = 21/7
x = 3
Now, we can find WX
WX = 8x + 2
WX = 8(3) + 2
WX = 24 + 2
WX = 26
Hence, the length of WX is 26
Learn more on Calculating length of a line here: brainly.com/question/16704469
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Answer:
The value of the length of the side C is 11.49.
Step-by-step explanation:
Cosine formula is applicable.
c² = a² + b² -2abcos(C)
substitute the values:
c² = (5)² + (12)² -2(5)(12)cos(72)
= 25 + 144 - 2 (60) (0.309)
= 169 - 37.08
c² = 131.92
square root both sides:
c = sqrt(131.92)
C = 11.49
Answer:
If two angles are vertical angles, then they are congruent.
Step-by-step explanation: