Answer:

Step-by-step explanation:
Given:
In ΔLMN and ΔXYZ, 
To find: criteria that needs to be shown to prove ΔLMN
ΔXYZ using SAS similarity theorem
Solution:
According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.
In ΔLMN and ΔXYZ,

So, ΔLMN
ΔXYZ by SAS similarity theorem if 
The initial equation is

. The subsequent equation is

. By setting both equations equal, we can derive the following:


. Next, simplify:

. Then factor:

. Put x=0 or x=1 into the second equation to yield:

. Alternatively,

. Thus, the solutions are:

.
P(S) = Probability of Smash = 0.05 (5%)
P(M) = Probability of Modest = 0.5 (50%)
P(F) = Probability of Flop = 0.45 (45%)
Based on this, we utilize the model for discrete random variables, leading to:
E(X) = (0.05 * 5.2) + (0.5 * 0.9) + (0.45 * 0)
= 0.26 + 0.45 + 0
= 0.71 Mill'
Detailed explanation:
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Take 2.25 and multiply by each answer, then use 750 and record the total. Next, multiply 3.25 with each answer in ascending order, adjusting the figures until you reach the precise amount. For example, D indicates that for 760, 2.25 times 760 yields 2460, and multiplying by 3.25 gives you 2570. You save 10 dollars, enabling you to cover the costs for food and the band.