Answer:
cos(52°) = 18/x
x = 18·sec(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
In this geometry, that means ...
cos(52°) = 18/x
You can use the relation sec(x) = 1/cos(x) to rewrite this as ...
x = 18·sec(52°)
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You can also use the complementary angle and the complementary trig function.
sin(90° -52°) = 18/x
We have that
x²<span>-6x+7=0
</span>Group terms that contain the same variable
(x²-6x)+7=0
Complete the square Remember to balance the equation
(x²-6x+9-9)+7=0
Rewrite as perfect squares
(x-3)²+7-9=0
(x-3)²-2=0
(x-3)²=2
(x-3)=(+/-)√2
x=(+/-)√2+3
the solutions are
x=√2+3
x=-√2+3
The answer is A.
D= 6<=x<=11
Answer:
x=23
Step-by-step explanation:
Hello There!
Remember the exterior angle of a triangle is equal to the opposite interior angles of a triangle
so
137-x=2x+3x-1
now we can solve for x
step 1 combine like terms
2x+3x=5x
now we have
137-x=5x-1
step 2 add 1 to each side
-1+1 cancels out
137+1=138
138-x=5x
step 2 add x to each side
-x+x cancels out
5x+x=6x
now we have
138=6x
step 3 divide each side by 6
6x/6=x
138/6=23
we´re left with x=23
