Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.
And the expressions for each arc in the diagram also given as:
Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.
Hence, we will get the system of equations as following:
Arc QR = Arc LN
2x - y = 11 ...(1)
Arc OP = Arc VW
5x + y = 10 ...(2)
We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,
2x+5x = 11 + 10
7x = 21
Divide each sides by 7.
So, x= 3
Answer:
<em>Option B</em>
Step-by-step explanation:
<u>Congruent Triangles</u>
The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both triangles are congruent, then the two triangles are similar.
The triangles are congruent if the relation between LK and KN is the same as the relation between KN and MN, that is
It means that
MN=1
Option B
Answer:
(-8 , 3)
Step-by-step explanation:
(x1 , y1) (x2 , y2) = (-10 , -1) (-6 , 7)
,
-6 is going to be my x1 and -10 my y1
7 is going to be my x2 and -1 my y2
(-8 , 3)