In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.
For finding side a, you can answer this easily by the Law of Cosines. The equation is
a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9
Then, we use the Law of Sines to find angles B and C. The formula would be
a/sinA = b/sinB = c/sinC
9/sin54° = 11/sinB
B = 80.4°
9/sin54° = 8/sinC
C = 45.6°
The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
Answer:
4:1
Step-by-step explanation:
Answer:
4/3 or 1.3333333...
Step-by-step explanation:
2 x (3x + 1)-4 = 6.
6x+2-4=6.
6x+2=10
6x=8.
X= 1.3333333... OR 4/3
Y+4x =7
Or y = -4x + 7
On comparing with point slope form
y = mx+c
We get m = -4 = slope of given line
As the required line is parallel to given line its slope is equal to -4
The question requests proof that WV = VR. See the definition of Mathematical proof and the explanation for the proof below.
<h3>What is a mathematical proof?</h3>
Mathematical proof refers to the steps of logical arguments which are given to show that a mathematical statement is true or correct.
<h3>What is the proof that WV = VR?</h3>
Reason: This is given. The image is a parallelogram.
- Hence, ∠PSR = ∠WVP
Reason: Alternate angles formed by two parallel lines crossing each other
Hence, SV = PVReason: This is given by the annotation on the image
- Reason: They are formed by two parallel lines crossing each other.
Therefore if ΔSVR ≅ PVW;
Then WV = VR.
QED.
Learn more about proofs at:
brainly.com/question/25927269
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