the answer is 
subtract 6x on both sides → 
divide both sides by -2y →
Answer:
See steps below
Step-by-step explanation:
Step 1: <A ≅ <I Reason: Given information in the drawing
Step 2: side MX ≅ NM Reason: Given information in the drawing
Step 3: angle <AMX ≅ < <NMI Reason: Angles opposed by the vertex (also called vertical angles)
Step 4: Triangle AXM ≅ triangle NMI Reason: SAA theorem
Answer:
Step-by-step explanation:
Let x represent the number of phone call that she routes.
Laylah has already spent 3 minutes on the phone and she expects to spend 1 more minute with every phone call she routes. This means that if she routes x phone calls, the total number of time that Layla would have spent on the phone is
3 + x
If she routes 23 phone calls, the total time that Layla would have spent on the phone in total is
3 + 23 = 26 minutes
If the pth term of an arithmetic progression is q and qth term is p then the (p+q) th term is 0.
Given that the p th term of an A.P is q aand q th term is p.
We are required to find the (p+q) th term of that A.P.
Arithmetic progression is a sequence in which all the terms have common difference between them.
N th term of an A.P.=a+(n-1)d
p th term=a+(p-1)d
q=a+(p-1)d-------1
q th term=a+(q-1)d
p=a+(q-1)d---------2
Subtract equation 2 by 1.
q-p==a+(p-1)d-a-(q-1)d
q-p=pd-qd-d+d
q-p=d(p-q)
d=(p-q)/(q-p)
d=-(p-q)/(p-q)
d=-1
Put the value of d in 1.
q=a+(p-1)(-1)
q=a-p+1
a=q+p-1
(p+q) th term=a+(n-1)d
=q+p-1+(p+q-1)(-1)
=q+p-1-p-q+1
=0
Hence if the pth term of an A.P is q and qth term is p then the (p+q) th term is 0.
Learn more about arithmetic progression at brainly.com/question/6561461
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Answer:
5y
Step-by-step explanation:
First find all the factors of 15y^3 and then all the factors of -20y
15y^3 = 3 , 5 , y, y, y
-20y = 2 , 4, 5, 10, y
The GCF is 5 and y. We choose 5 because it is the greatest number and common in both sets. We also choose one y because it is common in both sets and one y is the greatest common y.
Answer = 5y
You can also do this by using the prime factorization method.
