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)
Answer:
3575880
Step-by-step explanation:
We need to use Permutation method,

Where n is the sample of size and r the combination considered, so

There is 3575880 possibilities to make leadership structures in that committee
Answer:
x^(7/5)
Step-by-step explanation:
Root goes on bottom of fraction
Power goes on top
x^(7/5)
Answer:
Δ JKL ≅ ΔPQR
Step-by-step explanation:
Hopefully this was one of the following statements. You didn't post the statements
Answer: $191.45
Step-by-step explanation:
This question requires the price of a bike in future so you can use the future value formula to calculate it:
Future value = Amount * (1 + rate)^ no. of periods
= 350 * (1 - 14%)⁴
= 350 * 0.54700816
= $191.45
<em>The rate is subtracted from 1 instead of being added to represent that the value is decreasing not increasing. </em>