<u>Given</u>:
Given that the triangles ABD and CAD are similar.
The length of AB is 12.
The length of BD is x.
The length of AC is 27.
We need to determine the value of x.
<u>Value of x:</u>
Let us use the leg rule to determine the value of x.
Thus, we have;
Substituting the values, we get;
Cross multiplying, we get;
Dividing both sides by 27, we have;
Thus, the value of x is 
Hence, Option D is the correct answer.
Answer:
x = 1 and y = 2
Step-by-step explanation:
Let apples are represented by x
and let oranges are represented by y
You purchase 5 pounds of apples and 2 pounds of oranges for $9. This line in equation format can be written as:
5x + 2y = 9
Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17.
This line in equation format can be written as:
5x + 6y = 17
Now we have two equations:
5x + 2y = 9 -> eq (i)
5x + 6y = 17 -> eq(ii)
We can solve these equations to find the value of x and y.
Subtracting eq(i) from eq(ii)
5x + 6y = 17
5x + 2y = 9
- - -
_________
0+4y= 8
=> 4y = 8
y= 8/4
y = 2
Now, putting value of y in eq (i)
5x + 2y = 9
5x +2(2) = 9
5x +4 = 9
5x = 9-4
5x = 5
x = 1
so, x = 1 and y = 2
Answer:
The anwser is D.
Step-by-step explanation:
The equation must be greater or equal to eleven but less then or equal to 15.
Sub g to (-3) and then solve from there using PMDAS and equation solving skills, Photomath is a fantastic resource
If the probability of independent event A is 0.5, then P(A|B) will be 0.5. Then the correct option is B.
<h3>Which pair of events are called independent events?</h3>
When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent iff we have:
P(A ∩ B) = P(A)P(B)
Comparing it with chain rule will give
P(A|B) = P(A)
P(B|A) = P(B)
Suppose A and B are dependent events.
If P(A) = 0.5
Then P(A|B) will be
P(A|B) = P(A)
P(A|B) = 0.5
Then the correct option is B.
Learn more about probability here:
brainly.com/question/1210781
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