If the measure of angle AOB = 2x + 4 and the measure of angle COD = 4x - 10, write an equation for solve for x
2 answers:
Answer:
Step-by-step explanation:
We know that ∠AOB is (2x+4) and ∠COD is (4x-10).
Note that ∠AOB and ∠COD both have one arc mark.
In other words, they are congruent. Therefore, their angle measures are the same.
So, we can set the two equations equal to each other:
Now, we can solve for x. Let's add 10 to both sides. This yields:
Now, let's subtract 2x from both sides. This yields:
Finally, divide both sides by 2. Therefore, the value of x is:
And we're done!
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Answer:
Step-by-step explanation:
The given line is in slope-intercept form,
y = mx + b,
where m is the slope.
The slope of the given line is 1/3, so m = 1/3.
Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.
y = 1/3 x + b
Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.
3 = (1/3)(6) + b
3 = 2 + b
b = 1
Equation: