By using the AAA congruence property of Triangles, △aec≅△deb is proved
It is given two triangles, Δaec and Δdeb, where e is the common point known as the midpoint of ad
Also, it is given that,
ca ║db
We need to prove that, △aec≅△deb
Then we'll use AAA congruence property of Triangles to prove the situation
As ca ║db
then, ∠cae = ∠ebd (Alternate angles)
∠ace = ∠edb (Alternate angles)
and ∠aec = ∠deb (common angles)
Thus, by AAA congruence property, △aec≅△deb
Hence, proved
To learn more about, congruence property, here
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Answer:
24.24
Step-by-step explanation:
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Answer:
n = 20 or n = -2
Step-by-step explanation:
Solve for n over the real numbers:
n^2 = 18 n + 40
Subtract 18 n + 40 from both sides:
n^2 - 18 n - 40 = 0
The left hand side factors into a product with two terms:
(n - 20) (n + 2) = 0
Split into two equations:
n - 20 = 0 or n + 2 = 0
Add 20 to both sides:
n = 20 or n + 2 = 0
Subtract 2 from both sides:
Answer: n = 20 or n = -2
Answer:
The probability that the next mattress sold is either king or queen-size is P=0.8.
Step-by-step explanation:
We have 3 types of matress: queen size (Q), king size (K) and twin size (T).
We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.
We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

Finally, we know that the sum of probablities has to be 1, or 100%.

We can solve this by sustitution:

Now we know the probabilities of each of the matress types.
The probability that the next matress sold is either king or queen-size is:

Answer:
19
Use the given functions to set up and simplify