Answer:
1 and 2.
Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.
- D= (-2, 2), E = (-1, -2), F = (-4, -1)
3.
As per definition, midsegment is parallel to a side.
Parallel lines have same slope.
<u>Find slopes of FD and CB and compare. </u>
- m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
- m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2
- As we see the slopes are same
<u>Find the slopes of FE and AB and compare.</u>
- m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3
- m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3
- Slopes are same
<u>Find the slopes of DE and AC and compare.</u>
- m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4
- m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4
- Slopes are same
4.
As per definition, midsegment is half the parallel side.
<u>We'll show that FD = 1/2CB</u>
- FD =
= 
= 
- CB =
= 
= 2 - As we see FD = 1/2CB
<u>FE = 1/2AB</u>
- FE =
= 
= 
- AB =
= 
= 2 - As we see FE = 1/2AB
<u>DE = 1/2AC</u>
- DE =
= 
= 
- AC =
= 
= 2 - As we see DE = 1/2AC
Answer:
396
Step-by-step explanation:
do 2378 ÷ 6 = 396
Step 1. 2378 ÷ 6 = 396
boom answer
5 -> 15
6 -> 20
7 -> 25
8 -> 30
9 -> 35
10 -> 40
then in ones:
after 41 would be 42 and 43
the elapsed time would be 43 minutes :)
hope this helps :)
Answer:
Out of the 3 that were listed, the "conversion" that is invalid is 1 meter = 10 millimeters.
Step-by-step explanation:
First: Well, for something like this, you don't really need steps, you just need to know how to do process of elimination and also your conversions:
We know that 1 meter is 100 centimeters
We know 1 kilometer is 1000 meters
We know that 1 meter is 10 millim....... Wait. Do we know that?
No! 1 meter is not 10 millimeters, it's 1000 millimeters. So 1 meter = 10 millimeters is invalid.
If you ever need a converter, use this link: https://www.google.com/search?q=centimeters+to+inches&rlz=1CAFQZI_enCA835&oq=centim&aqs=chrome.2.69i57j0l5.9328j0j7&sourceid=chrome&ie=UTF-8
Thank you for reading
Topic: Metric Conversions
Sure! So this is ready as "the cube root of 125". This basically means, "what number cubed can get me 125?"
Let's go through our options.
We can rule out D, as D cubed would be unreasonably big.
We can also rule out C, because 375 cubed is easily over 10000, you know this even if you haven't computed it all, just compute the 300 cubed.
We can rule out B, too. 41 squared is already over 125, therefore it can't be the answer.
Therefore our answer is A, 5. We can check that by cubing 5, and that indeed gets us 125.
Hope this helps!
