Answer:
it depends on what he means
Step-by-step explanation:
The friend needs to clarify the meaning of "if three lines intersect each other." If Line A intersects lines B and C, there will be two points of intersection, one at line B and one at line C.
If those lines are all in the same plane, and B and C are not parallel, so that line B intersects line C, then there will be a total of three points of intersection.
If the point of intersection of B and C is also the point where line A intersects them, then there will be only one point of intersection.
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So, if the meaning is "if there are three non-parallel lines in the same plane, and each intersects the other two", then the Line Intersection Postulate guarantees there will be 1 or 3 points of intersection.
If the meaning is "if there are three lines not necessarily in the same plane, and one intersects the other two (but those two don't intersect each other)", then there may be 1 or 2 points of intersection (allowing that all lines may intersect at the same point).
The first misconception is that the balance shouldn't be paid off in full in order to boost the credit score. This is simply not true. You can pay off all of the balance and it will actually improve the score. The score reflects the ability to pay borrowed money back. A credit card is basically a micro-loan of sorts. So if George pays off the balance, he's paying back the credit card company and that tells the company (and others) that his ability to pay is good. Plus it tells about his priorities which is what the credit score indirectly indicates. Other companies will see that George can pay the money back, so they'll be more eager to lend to him.
The other misconception is that being late is fine and improving the payment habits is what brings up the score. This is murky gray area and somewhat true but also somewhat false. What happens is that if you are late then your score goes down by some amount. When you improve the payment habits, the score goes back up. Whether it goes back to the original value or larger depends on the situation. So the second claim George makes is technically true, but there's broader context to consider. It's similar to how if you shoot yourself in the foot in some videogame, and then let your foot heal up, then you're increasing health points. The first act shouldn't have needed to happen and it reflects a weird backwards thinking. If anything, it wastes time where George could have simply been improving the score (rather than decrease it only to increase it back).
The reality is that keeping up with the payments in a timely fashion is what keeps the credit score healthy. Once again, the score reflects someone's ability to pay back borrowed money. It applies to any kind of loan, which a credit card is a part of.
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In short, George is mistaken by two claims he makes
- Not paying off the balance in full improves the credit score
- Being late on payments, and then improving payment habits, will increase the credit score
When in reality keeping up with payments and paying off the balance will improve the credit score. There's no need to hinder oneself on purpose in the goal of improving from that contrived setback.
Side note: the credit card company wants you to carry a balance so they can charge interest on said balance. That's how they make most of their money. However, even if you go against the wishes of the credit card company, they won't ding you credit score points for paying off the balance in full.
Answer:
<h2>The right answer is 415.4 cubic feet.</h2>
Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>
<h3>Square pyramid.</h3>
First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.
The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid
The sum of both figures represents the total volume of the composite figure
Therefore, the right answer is 415.4 cubic feet.
Answer:
The answer is C
Step-by-step explanation:
(180-46)/2=67
67+45=112
CE ⊥ CF because m∠ECA + m∠FCA = 90°
Step-by-step explanation:
In ∆ABC
- On the extension of the side BC , draw a line segment CD ≅ CA
- Draw the segment AD
- The line segment CE is the angle bisector of ∠ACB
- The line segment CF is the median towards AD in ∆ ACD
We want to prove that CF ⊥ CE
Look to the attached figure
In Δ ABC
∵ CE is the bisector of angle ACB
∴ ∠ACE ≅ ∠BCE
In Δ ACD
∵ CA = CD
∴ Δ ACD is an isosceles triangle
∵ AD is the median towards AD
- In any isosceles triangle the median from a vertex to its opposite
side bisects this vertex
∴ AD bisects ∠ACD
∴ ∠ACF ≅ ∠DCF
∵ BCD is a straight segment
∵ CE , CA , CF are drawn from point C
∴ m∠BCE + m∠ACE + m∠ACF + m∠DCF = 180°
∵ m∠ACE ≅ m∠BCE
∵ m∠ACF ≅ m∠DCF
- Replace m∠BCE by m∠ACE and m∠DCF by m∠ACF
∴ m∠ACE + m∠ACE + m∠ACF + m∠ACF = 180°
∴ 2 m∠ACE + 2 m∠ACF = 180°
- Divide all terms by 2
∴ m∠ACE + m∠ACF = 90°
∴ EC ⊥ CF
CE ⊥ CF because m∠ECA + m∠FCA = 90°
Learn more:
You can learn more about perpendicular lines in brainly.com/question/11223427
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