Create three different expressions that are each equal to 20. Each expression should include only these three numbers:
1 answer:
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Answer: The length of segments between this point and the vertices of greater base are and 18.
Step-by-step explanation:
Let ABCD is the trapezoid, ( shown in below diagram)
In which AB is the greater base and AB = 18 DC= 11, AD= 3 and BC = 7
Let P is the point where The extended legs meet,
So, according to the question, we have to find out : AP and BP
In Δ APB and Δ DPC,
∠ DPC ≅ ∠APB ( reflexive)
∠ PDC ≅ ∠ PAB ( By alternative interior angle theorem)
And, ∠ PCD ≅ ∠ PBA ( By alternative interior angle theorem)
Therefore, By AAA similarity postulate,
Let, DP =x
⇒
⇒ 33 +11x = 18x
⇒ x = 33/7=
Thus, PD=
But, AP= PD + DA
AP=
Now, let PC =y,
⇒
⇒ 77 + 11y = 18y
⇒ y = 77/7 = 11
Thus, PC= 11
But, PB= PC + CB
PB= 11+7 = 18
Given:
μ = 50 g, the mean
Let σ = the standard deviation.
For the random variable x =55 g, the z-score is
z = (55 - 50)/σ
We know that P(x > 55) =0.14 (14%).
From standard tables,
P(x > 55) = 0.14 => z = 0.36 (see the figure below).
Therefore
(55 - 50)/σ = 0.36
5/σ = 0.36
σ = 13.9
Answer: 13.9 grams
μ = 50 g, the mean
Let σ = the standard deviation.
For the random variable x =55 g, the z-score is
z = (55 - 50)/σ
We know that P(x > 55) =0.14 (14%).
From standard tables,
P(x > 55) = 0.14 => z = 0.36 (see the figure below).
Therefore
(55 - 50)/σ = 0.36
5/σ = 0.36
σ = 13.9
Answer: 13.9 grams