You could interpret them as system of equation and answer the question easily
from A
-4x + y + x + w =1
write in same form from A
as this system has five variables and four of them are unknowns it means the unique solution is not possible
So, det (A) = 0
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Answer: Betsy is incorrect.
Step-by-step explanation:
The area of a trapezoid is a+b/2 multiplied by h.
First, we should do 5+8/2= 6.5
Next, we multiply 6.5 with 4 because 4 is the height of the trapezoid.
6.5 times 4= 26
Betsy thought the answer was 52, but it is 26 so she is incorrect.\
I hope this helps, may god bless you! :)
Answer:
d. 10%
Step-by-step explanation:
1. Information to know
15 cards left in the deck, and 5 are diamond, to find the probability of the next 2 cards being diamond, one has to find the probability of the 1st card as a diamond, and then multiply it by the probability of the 2nd card being a diamond.
Remember, probability is;
2. Find probability 1
favorable out comes; diamond = 5
total outcomes; total cards = 15
probability is; 
Simplified; 
3. Finding probability 2
If the last card drawn was a diamond then the new numbers will be
favorable outcomes; 4
total outcomes; 14
Probability is; 
Simplified; 
4. Total probability
Now, one has to multiply the first probability by the second probability to find the probability of the event;
= 
= 0.095238
~10%
The answer
X'Y' and XY are parallels, measX'Y'T = measXYT, there is similarity between the two triangles, we can find YT by using theorem of thales,
it is TY' / TY =TX' / TX =X'Y' /XY, so TY' / TY = TX' / TX = 9/ TY =6/ 2+6=6/8
and then 9/ TY = 6/8 therefore TY= 12
