3x/8=4.5/4 Solve the equation/find x
1 answer:
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Answer:
This is proved by ASA congruent rule.
Step-by-step explanation:
Given KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. we have to prove that A is equidistant from LM and KN i.e we have to prove that AP=AQ
we know that the diagonals of parallelogram bisect each other therefore the the bisectors of ∠K and ∠L must be the diagonals.
In ΔAPN and ΔAQL
∠PNA=∠ALQ (∵alternate angles)
AN=AL (∵diagonals of parallelogram bisect each other)
∠PAN=∠LAQ (∵vertically opposite angles)
∴ By ASA rule ΔAPN ≅ ΔAQL
Hence, by CPCT i.e Corresponding parts of congruent triangles PA=AQ
Hence, A is equidistant from LM and KN.
Answer:
Step-by-step explanation:
1) GCF = Greatest common factor which would be 6x so lets get started.
now we solve this with by quadratic formula.
so a=1 , b=6, c =8
and we get two values of x which is
but in the question it says we will end up with 3 solutions. Our third solution is actually
because we took 6x common as the greatest common factor so
so now we have 3 solutions
2) (x-9)(4x+1)=0
since this equation is already in root form we equate each root to 0
so our solutions are x=9 and x=-1/4
3)
now since we need to solve using square roots we apply square roots on both sides
since when we take the square root of a number we get positive and negative of that number example here
x+5=±12
so
x+5=12 and x+5=-12
x=7 and x=-17
4) Difference of two squares means we just need to factorize it in root form so lets begin,
now if we see this expression can be written like this as well
and if we expand this into the difference formula which is
we get
where a is 2x and b is 7