Answer:
Statement: angle QAU congruent to angle KAC
Reasoning: vert. angle congruenct thm
S: angle U congruent to angle C
R: Alt. Int. Angle Thm
S: Triangle QUA similar to Triangle KCA
R: AA Sim. Thm
Step-by-step explanation:
Practice a lot of proofs and you'll start seeing a pattern in them and it will become way easier.
<span>Absolute value of -98 is 98
Hope I helped:D </span>
Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2
Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
The value of x in the equation 1/2x = -1/2x when 4 is subtracted from both sides is 0(not defined)
Subtraction of fraction
Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction
1/2x = -1/2x
- Subtract 4 from both sides
1/2x - 4 = -1/2x - 4
(x-8) / 2 = (-x-8) / 2
(x - 8) / 2 = (-x-8) / 2
2(x - 8) = 2(-x - 8)
2x - 16 = -2x - 16
2x + 2x = -16 + 16
4x = 0
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