Answer:
x = 47°
y = 10
z = 5
Step-by-step explanation:
They share the middle line which is one side. It's given that side y is congruent to the side with a value of 5. Angle X and the non labeled angel are also congruent to each other. Using SAS (side angle side) we can conclude the 2 triangles are congruent, which means all angles and sides are congruent and equal.
The angles of a triangle add to 180.
x+90+43=180
x=47
z is congruent/equal to 5 since they are congruent and equal triangles. Therefore z=5
Y is congruent to side 10, which also means it is equal to 10. Therefore y=10
D = 101/4
if you need it in decimal form it is 25.25
if you need it in mixed number form it is 25 1/4
-3-4(5)
-4(5)=-20
-3-20
The answers is -23
Answer: C & D
<u>Step-by-step explanation:</u>
A binomial experiment must satisfy ALL four of the following:
- A fixed number of trials
- Each trial is independent of the others
- There are only two outcomes (Success & Fail)
- The probability of each outcome remains constant from trial to trial.
A) When the spinner is spun three times, X is the sum of the numbers the spinner lands on.
→ #3 is not satisfied <em>(#4 is also not satisfied)</em>
B) When the spinner is spun multiple times ...
→ #1 is not satisfied
C) When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.
→ Satisfies ALL FOUR
- A fixed number of trials = 4
- Each trial is independent of the others = each spin is separate
- There are only two outcomes = Not Odd & Odd
- The probability of each outcome remains constant from trial to trial = P(X = not odd) = 0.50 for each spin
D) When the spinner is spun five times, X is the number of times the spinner lands on 1.
→ Satisfies ALL FOUR
- A fixed number of trials = 5
- Each trial is independent of the others = each spin is separate
- There are only two outcomes = 1 & Not 1
- The probability of each outcome remains constant from trial to trial = P(X = 1) = 0.17 for each spin