Answer: Any of the following angles are <u>not</u> congruent to angle 5.
- angle 2
- angle 4
- angle 6
- angle 8
The only exception being that if angle 5 is 90 degrees, then so are the remaining four angles shown above (in fact, all 8 angles are right angles).
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Explanation:
Angles 2 and 5 are supplementary since line p is parallel to line r. This means angle 2 and angle 5 add to 180 degrees. The two angles are only congruent if both are right angles (aka 90 degree angles); otherwise, they are not congruent angles.
Angle 2 = angle 4 because they are vertical angles. So because these two angles are congruent, and angle 2 does not have the same measure as angle 5, this consequently leads to angle 4 also not being the same measure as angle 5 (unless both are right angles).
Angle 2 = angle 8 because they are alternate interior angles. Following the same logic path as the last paragraph, we see that angles 8 and angle 5 aren't the same measure. Or we could note that angle 5 and angle 8 form a straight angle, so they must add to 180 degrees. The two angles are only congruent if they were 90 degrees each, or otherwise not congruent at all.
Similar logic can also show that angle 6 is not congruent to angle 5.
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An alternative path is to find all the angles that are always congruent to angle 5 and they are...
- angle 1 (corresponding angles)
- angle 3 (alternate interior angles)
- angle 7 (vertical angles)
And everything else is not congruent to angle 5.
Answer:
(x+2)/(x-6)(x+2)
Step-by-step explanation:
We know that vertical asymptotes are found in the denominator, so we can start with 1/(x-6)
x-6 will equal zero at 6, so that is where the VA will be.
For the removable discontinuity (hole), it needs to cancel out in the numerator and denominator. (x+2)/(x-6)(x+2)
when x equals -2, there is an undefined y value.
Answer: the answer is approximately 41.65428, not rounded (maybe re do all the steps just in case)
Step-by-step explanation:
1. label the space between X and W the unknown.
2. You will be using SOH-CAH-TOA
3. Label the X as the opposite because it is the opposite side of where your degree is located.
4. Label five as adjacent because it’s next to the degree.
5. You will use TOA since you have adjacent and opposite values.
6. Write the equation tan58=x/5, the unknown goes on the top because O is first, the five goes on the bottom because A is last on TOA.
7. After you have the equation time 5 on both sides leaving you out with (5)tan58=x
8. On your calculator time (5)tan58 which will give you x.
