The sides of a right triangle are related by trig functions of the acute angles. The relationships are described by the mnemonic SOH CAH TOA. The meaning of this is
.. Sin = Opposite/Hypotenuse
.. Cos = Adjacent/Hypotenuse
.. Tan = Opposite/Adjacent
Here, you are given the adjacent side and the hypotenuse for the angle. This means you can use the relation
.. Cos = Adjacent/Hypotenuse
Putting in the given information lets you find x.
.. cos(22°) = x/11
.. 11*cos(22°) = x ≈ 10.199
Equation is 2(3x+24)=9x+18
Answer is x=10
Bisector means it cuts it in half so ABD is the same as DBC. The whole angle is 9x+18 which is the same as doubling 3x+24 since thats half of if hence the equation 2(3x+24)=9x+18
To solve for x you have to distribute 2(3x+24) by multiplying 2 to 3x and 24
New equation is 6x+48=9x+18
Subtract 6x both sides
48=3x+18
Subtract 18 both sides
30=3x
Divide both sides by 3
10=x
maybe 28 is the answer...
Answer:
The slope of the line is 5 because anything that has an x is the slope of the equation
Step-by-step explanation:
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