I can try to answer this to the best of my knowledge
so if angle A is 140 degrees) then
the other two angles *together* add up to 40 degrees)
so both B and C are less than 40.
that means their sides are less than the side opposite angle A
, so less than 3. But they tell you b is 10. hope it helps
Answer:
60 degrees
Step-by-step explanation:
I believe in the triangle it says 57 degrees so if you round 57 to the nearest tenth you get 60 so it would be 60 degrees
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)
x = original price, or 100%
if we take off 25% from 100% what's left is 75%, that's the discounted price.
let's then take 10% of that.
![\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{75\% of "x"}}{\left( \cfrac{75}{100} \right)x\implies 0.75x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{10\% of 0.75x}}{\left( \cfrac{10}{100} \right)0.75x\implies 0.075x}~\hfill \stackrel{\textit{total percent savings}}{0.75x-0.075x\implies 0.675x} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Ba%5C%25%20of%20b%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20%5Cleft%28%20%5Ccfrac%7Ba%7D%7B100%7D%20%5Cright%29%5Ccdot%20b%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D~%5Chspace%7B5em%7D%5Cstackrel%7B%5Ctextit%7B75%5C%25%20of%20%22x%22%7D%7D%7B%5Cleft%28%20%5Ccfrac%7B75%7D%7B100%7D%20%5Cright%29x%5Cimplies%200.75x%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7B10%5C%25%20of%200.75x%7D%7D%7B%5Cleft%28%20%5Ccfrac%7B10%7D%7B100%7D%20%5Cright%290.75x%5Cimplies%200.075x%7D~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Btotal%20percent%20savings%7D%7D%7B0.75x-0.075x%5Cimplies%200.675x%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)

Number of ones = 60
Number of twos = 62
Number of threes = 59
Number of fours = 64
Number of fives = 63
Number of sixes = 75
Total even outcomes = total number of two, four and sixes = 62 + 64 + 75 = 201
Total outcomes = 60+62+59+64+63+75= 383
Probability if rolling an even number = 201/383
percentage= 201/383 × 100 = 52.48% ~ 52.5%