What is the quotient of (125-8x^3)/(25+10x+4x^2) a)-2x+5 b)2x-5 c)-2x-5 d)2x+5
2 answers:
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<h3>Answer: Always</h3>
Explanation:
Drawing out a diagram usually helps with these types of problem. See the diagram below.
We have angle 3 and angle 4 as corresponding angles (since they are both in the north east corner of each four-corner configuration). Angle 1 = angle 3 is one pair of vertical angles and angle 2 = angle 4 is another pair of vertical angles. We see that angles 1 and 2 are corresponding angles in the south west corners of each four-corner configuration. That's why the original statement is always true.
Answer:
Step-by-step explanation:
The tick marks you see on the sides denote congruence. If they have the same number of tick marks, then their side length are congruent.
And, recall that congruent side lengths have the same measure.
So, look at the sides with 2 tick marks. They are congruent. Therefore:
Subtract x from both sides:
Subtract 5 from both sides:
So, x is 7.
Now, look at the sides with only 1 tick mark. Again, they are congruent. Thus:
We already know x is 7. So:
Add:
Add 4 to both sides:
So, y is 16.