Answer:
1.8 units.
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:
b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).
Simplifying gives:
b^2 = 3.25.
Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).
This means that the length of the third side is 1.8 units!!!
Y would equal -17! Good luck!
X=2
Explanation:
You need to find the midpoint of the segment
-2+6=4
4/2=2
The answer is 5x-11
You have to distrivute 1/3 into 6x and -9 and after you have your answer for those you can combine like terms.
Option C: 126° is the correct answer
Step-by-step explanation:
When two lines intersect, the four angles are formed. The angles vertically opposite with same vertex are called vertical opposite angles.
The opposite vertical angles are equal.
In the given figure, the pairs of vertically opposite angles are e,h and f,g.
Given
∠e = 126°
The measurement of e and h will be equal as they are vertically opposite
So,
m∠e = m∠h
m∠h = 126°
Hence,
Option C: 126° is the correct answer
Keywords: Vertical angles, lines
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