No, a & b are not independent if they're mutually exclusive.
Mutually exclusive means the two events cannot occur simultaneously. So if "a" happens "b" cannot. In contrast, two events are independent if the occurrence of one has no effect on the occurrence of the other.
Answer:
A. Yes, the triangles are congruent by SAS.
Step-by-step explanation:
EF = FG and DF = FH-> Given
angle EFD = angle HFG -> Vertical angles are congruent
DE F = HGF -> SAS Triangle Congruence Theorem
She has $12,488 in savings
Step-by-step explanation:
Ariana plans to use $260 less than three-fourths of savings to buy a car.
If the purchase price of the car is 9,340, we need to find how much
she has in savings
To find the savings
- Assume that she has $x in savings
- Write an equation of x
- Solve the equation to find x
∵ She has $x in savings
∵ She plans to use $260 less than three-fourths of savings
- Three-fourths means
and less than means subtract
∴ She plans to use
x - 26
∵ The purchase price of the car is 9,340
- Equate the expression of x by 9,340
∴
x - 26 = 9,340
Now let us solve the equation
∵
x - 26 = 9,340
- Add 26 to both sides
∴
x = 9,366
- Divide both sides by
∴ x = $12,488
She has $12,488 in savings
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Answer:
3/18
Step-by-step explanation: