Using proportions, it is found that the value of x is of x = 5, hence option A is correct.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Since the triangles are similar, the lengths are proportional. Researching the problem on the internet, we have that the proportions are given as follows:
- A side with a length of x is proportional to a side with length 25.
- A side with a length of 3 is proportional to a side with length 15.
Hence:
Simplifying the denominators:
x = 5.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
Answer:
Step-by-step explanation:
(35/5) - 5
7 - 5 = 2
Tyler will save $1850 in the college fund at the end of 18 years. Hope it help!
Answer:
72_16_
Step-by-step explanation:
just find their multiples
