The distance between the points is 5
<h3>
Answer: There is only one answer and it is choice B</h3><h3>Angle 1 and angle 4 are alternate interior angles</h3>
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Explanation
- A. This is false because it should be angle 4 + angle 5 = 180 without the angle 6. Adding on angle 6 results in some angle larger than 180. Note how angle 5 = (angle 3)+(angle 6).
- B. This is true and useful to showing that the three angles of a triangle add to 180 degrees. This is because you'll use the fact that angles 4, 5 and 6 combine to 180 degrees.
- C. While this is a true statement by the exterior angle theorem, it is not useful to the proof. It is better to state that angle 2 and angle 6 are congruent because they are alternate interior angles.
- D. Like choice C, it is true but not useful. It's better to say that angle 1 is congruent to angle 4. See choice B above.
Note how it's not enough for a statement to be true. It also needs to be relevant or useful to the context at hand. A more simpler example of this could be stating that x+x = 2x.
To solve/simplify this all you have to do is group like terms (the x^2's with each other, the x's with each other, and the normal numbers, -8)
14x^2-8+5x-6x^2+2x
group the x^2 (add 14x^2 to -6x^2)
8x^2-8+5x+2x
group the x's together (add 5x and 2x together)
8x^2+7x-8
Your answer will be d) 8x^2+7x-8
- What is the solution to the inequality -3x-42>3 ?
Add 42 to both sides.
Add 3 and 42 to get 45.
Divide both sides by -3. As -3 is <0, the inequality direction has changed.
Divide 45 by -3 to get -15.
Answer: 1350
Step-by-step explanation:
Here is the correct question.
Raquel can type an average of 63 words per minute. Rick can type 73 words per minute. how many more words can Rick type than Raquel in 135 minutes? Jared chose B as the correct answer. How did he get that answer? Jared said the answer is 4599. How did he get that answer?
Rick's word per minute= 73
Raquel's word per minute= 63
Ricks word in 135minute= 73×135 = 9855
Raquel's word in 135 minutes=63×135 = 8505
=9855 - 8505
= 1350
Rick can type 1350 more words than Raquel in 135 minutes.
Jared's answer is wrong. He got the answer by multiplying 63 by 73 which gives 4599.
