Answer:
x = 
Step-by-step explanation:
Given
+ 
= 1
Multiply through by ab to clear the fractions
bx + ax = ab ← factor out x from each term on the left side
x(b + a) = ab ← divide both sides by (b + a)
x =
Answer:
Nate made a mistake. He should have got 24 as Least common factor.
Step-by-step explanation:
Given number are 8 and 12.
To find the GCF or LCF we have to list multiples.
For LCF
- List the multiples of each number until at least one of the multiples appears on all lists.
- Find the smallest number that is on all of the lists.
- This number is the LCM.
For GCF
- List the multiples of each number until at least one of the multiples appears on all lists.
- Find the Biggest number that is on all of the lists.
- This number is the GCF
The least common multiple of 8 and 12 is 24.
The Greatest common multiply of 8 and 12 is 4.
Hence, Nate is wrong. Nate should have found 24.
[RevyBreeze]
Hey there!
In order for two figures to be congruent, each named angle must correspond and be congruent to ONE other angle. If you have ZYV and XWV, Z must be congruent to X as they both show up first in the ordering.
This means...
∠Z≅∠X
∠Y≅∠W
∠V≅∠V
Our first answer option has to do with parallelism, which does not influence if certain angles are congruent or not.
For the second answer option, ∠Z is congruent to ∠X, not ∠Y, so it is incorrect.
For the third answer option, it shows that ∠Z would correspond to ∠V, but it does not, so it is also incorrect.
For D, ∠Z IS congruent to ∠X, and ∠W IS congruent to ∠Y
Therefore, our answer is D) ∠Z≅∠X and ∠W ≅ ∠Y.
I hope this helps!
