Here it is given that AB || CD
< EIA = <GJB
Now
∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)
∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)
∠IKL + ∠IKC 180° and ∠DLH + ∠JLD =180° (Linear Pair Theorem)
So
m∠IKL + m∠IKC = 180° ....(1)
But ∠IKC ≅ ∠JLD
m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)
So we have
m∠IKL + m∠JLD = 180°
∠IKL and ∠JLD are supplementary angles.
But ∠DLH and ∠JLD are supplementary angles.
∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)
$8.50 because if he worked 40 hours a week you would multiple that by 52 because there are 52 weeks in a year. From there you would take the total he made and divide it by the hours he worked.
Answer:
Elimination
Step-by-step explanation:
A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Elimination is the best method when we have standard form equations and x values with opposite coefficients. This is so because the x variable will eliminate easily and allow us to solve for y.
The next two terms in the arithmetic progression will be 15 and 21.
Based on the information given, the following can be deduced.
First term = 3
Second term = 9
Common difference = 9 - 3 = 6
The nth term of an arithmetic progression is given as: = a + (n-1)d
Therefore, 3rd term = a + 2d = 3 + 2(6) = 3 + 12 = 15
4th term = a + 3d = 3 + 3(6) = 3 + 18 = 21
The next 2 terms are 15 and 21.
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