(AAA) Corresponding angles are congruent.
Therefore, the sides of the triangles are proportional:
cross multiply
use distributive property
subtract 100 from both sides
divide both sides by 100

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(SAS)
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Therefore we have the equation:

The perimeter of △PQR:

Substitute the value of y to the expression:

To answer this, you can set up a system of equations. Solve for one of the variables and substitute this new equation into the 2nd equation.
2x + 5y = 243 - I'll solve this one for x.
8x + 6y = 538
2x + 5y = 243
2x = 243 - 5y
2 2
x = 121.5 - 2.5y ; substitute this in for x in the second equation
8x + 6y = 538
8 (121.5 - 2.5y) + 6y = 538
972 - 20y + 6y = 538
972 - 14y = 538
-972 -972
-14y = -434
-14 -14
y = 31
<u><em>The cost of a rod (y) is $31. </em></u>
x = 121.5 - 2.5y
x = 121.5 - 2.5 x 31
x = 44
<em><u>The cost of a reel(x) is $44.</u></em>
This answer looks correct .
the 5 is canceled with the 2/5, therefore, leaving a 2 behind.
Answer: 4z (to the 2 power) - 13z + 3
Step-by-step explanation: