Answer:
Step-by-step explanation:
we know that
In this problem
The value of x represent the radius of the circle
so
Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O
see the attached figure to better understand the problem
square root both sides
The second one. It cancels out one but leaves one coefficient left which you divide and get the answer of x=0
I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.
2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)
Next, I add 20 on both sides.
2x + 90 + 3x = 200º
I combine like terms (2x and 3x)
5x + 90 = 200º
I subtract 90 from both sides.
5x = 110º
Divide 110 by 5 to get x.
x = 22
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For problem two, I label all the angles I know.
49º + 80º + r = 180º
I add 80 and 49.
129º + r = 180º
I subtract 180 and 129 and get 51º, which is your angle for R.
For angle X, you know that angle R plus angle X equals half of a circle, which is 180º
We know from before that 129º is 180º without R, so X is 129º
I hope this helps! Let me know if I'm wrong!
Answer:
Step-by-step explanation:
On the left-hand side of the equation, both terms have a common factor of , so we can pull that out:
We can now create two equations from this to solve for :
The first equation doesn't need any further work, but the second equation can be reduced by substracting from both sides to get by itself on the left-hand side:
Therefore, the two solutions to the problem are
Answer:
shorter piece = 7 ft
longer piece = 19 ft
Step-by-step explanation:
L = longer board
S = shorter board
L+S = 26 then L =26-S
L = 5+2S
substitute for L
26-S = 5+2S
add S to each side & subtract 5 from each side
3S = 21
divide both sides by 3
3S/3 = 21/3
S = 7
L = 19