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".
17) AB = 26
18) ∠1 and ∠2 are supplementary angles.
19) ∠1 and ∠2 are vertical angles.
20) x = 7
21) 10.125° = ∠GEF
22) x = 14
23) x = 25
<h3>How to find congruent angles?</h3>
17) AC is congruent to CE.
DE = 7x - 1
BC = 9x - 2
CE = 10x + 18
DE + DE = CE
2DE = CE
2(7x - 1) = 10x+18
14x-2 = 10x+18
14x-10x = 18+2
4x = 20
x = 20/4
x = 5
Thus; AC = CE = 10x + 18
CD = 10x + 18 - 7x + 1
CD = 3x + 19
AB = 10x + 18 - (9x - 2)
AB = 10x + 18 - 9x + 2
AB = x + 18 + 2
AB = x + 20
Since x = 5
AB = 5 + 21
AB = 26
18) ∠1 and ∠2 are supplementary angles.
19) ∠1 and ∠2 are vertical angles.
20) ∠TUV = ∠TUW + ∠WUV
7x - 9 + 5x - 11 = 9x + 1
12x - 20 = 9x + 1
3x = 21
x = 21/3
x = 7
21) Let ∠DEG = x. Thus;
∠GEF = 5x - 13
Thus;
x + 5x - 13 = 149
6x = 162
x = 162/6
x = 10.125° = ∠GEF
22) 7x - 1 + 6x - 1 = 180
13x = 182
x = 14
23) 5x + 4 = 8x - 71
3x = 75
x = 25
Read more about Congruent Angles at; brainly.com/question/1675117
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The slope is negative two (-2)
None of those are correct. x= 8 and 2/3
