The midpoint of a line divides the line into equal halves.
- <em>The value of x is 5</em>
- <em>The value of YZ is 22</em>
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Given that:
Y is the midpoint of XZ. So:
Collect like terms
Divide both sides by 10
Recall that: Y is the midpoint of XZ
This means that:
Hence, the value of x is 5 and YZ is 22
Read more about midpoints at:
brainly.com/question/2441957
Answer:
Find length opposite to 30deg
Opposite = tan(30)*42
= 24.2
Whole side = 24.2+10
Find angle of 0 + 30deg: (say x)
Tan(x) = 33.2/42
Arctan(0.79) = x
x = 38.3
The angle to find:
38.3-30:
8.3
The angle is 8.3deg.
By definition of tangent,
tan(<em>x</em>) = sin(<em>x</em>) / cos(<em>x</em>)
so if tan(<em>x</em>) < 0, and we're given cos(<em>x</em>) = -1/4 < 0, then it follows that sin(<em>x</em>) > 0.
Recall the Pythagorean identity:
cos²(<em>x</em>) + sin²(<em>x</em>) = 1 → sin(<em>x</em>) = + √(1 - cos²(<em>x</em>))
Then
sin(<em>x</em>) = √(1 - (-1/4)²) = √(15/16) = √(15)/4
Recall the double angle identity:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Then
sin(2<em>x</em>) = 2 • √(15)/4 • (-1/4) = -2√(15)/16 = -√(15)/8
Answer:
B. 4x + 2x - 1 = 2
Step-by-step explanation:
Option B shows a correct step in using substitution to solve the system of equations.
