Answer:
#7 is congruent
#8 is not congruent
Step-by-step explanation:
#7 is congruent because of the angle angle side triangle congruency theorem.
#8 is not congruent because it’s properties don’t match with any of the triangle congruency theorems.
Answer:
Jason Inherit a land with a 45% chance of having oil.
Step-by-step explanation:
The probability of the land having oil is = P
(
O)
=
45
/100
The probability of the land having oil is= Q(O
)
=55/100
The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.
The probability of the correct reading is= P(M)=80/100
The probability of the incorrect reading is=Q(M)=20/100
The case when the machine predicts there is no oil and there is indeed oil can be calculated:Probability=Probability of oil present × probability of the incorrect reading
Probability=P(O) x Q(M)
Probability=45/100 x 20/100
Probability=9/100
The probability of the test predicting no oil in land and the land has oil is 0.09 or 9%
Answer:
Total number of pages in the book is 234.
Step-by-step explanation:
Let us assume that the total number of pages in the book = <em>x</em>
Now, it is given that Makaila read 44 pages yesterday.
Also, Makaila read two-third of the book today. As we have assumed that, there are a total of x number of pages in the book, so we can say that Makaila read two-third of <em>x </em>number of pages today.
Number of pages read by Makaila today = 
Now, it is also given that, Makaila read a total of 200 pages in the past two days.
∴ according to question,
Pages read yesterday + Pages read today = 200
⇒
⇒
⇒
⇒![132+2x=200\times3\;\;\;\;\;\;\;\;\;[On\;cross-multiplying]](https://tex.z-dn.net/?f=132%2B2x%3D200%5Ctimes3%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%5C%3B%5BOn%5C%3Bcross-multiplying%5D)
⇒
⇒
⇒
⇒
∴ Total number of pages in the book = <em>x</em> = 234
So the solid consist of 1 pentagon, 5 congruent equilateral triangle and 5 congruent squares and has 11 vertices so the number of edges of this solid is 20. I hope you are satisfied with my answer and feel free to ask form more if you have more clarifications.
