Answer:
Answer: 62.8
Step-by-step explanation: took the test, hope this helps (;
Answer:
60
Step-by-step explanation:
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement.
If no, justify your answer.
Answer:
Yes.
∆CAB ≅ ∆XYZ by AAS Congruence Theorem.
Step-by-step explanation:
There's enough information provided in the diagram above for us to prove that ∆CAB is congruent to ∆XYZ.
From the diagram, we cam observe the following:
<A ≅ <Y
<B ≅ <Z
side CA ≅ XY
Using the Angle-Angle-Side (AAS) Congruence Theorem, since two angles, <A and <B, and a non-included side, CA, in ∆CAB are congruent to two the corresponding angles, <X and <Z, and a non-included side, XY, in ∆XYZ, then ∆CAB is congruent to ∆XYZ.
x=
Answer:
x=-60
Step-by-step explanation:
You solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
Well, we know that there exists a function f(x) such that f(x-1) is a direct transformation of its parent function. First we want to set x=x-1. Conceptually, it might be easier just to annotate one of the x’s as a completely different variable, because we know that x doesn’t equal x-1. So let’s rewrite as x=y-1 and solve for y.
We now have y=x+1 where y(x) is actually our parent function and y(x)=f(x+1). So take our equation f(x-1) and substitute each x with (x+1). So f(x)=2(x+1) + 3
f(x)= 2x + 5. We can check this by finding f(x-1) because it should equal 2x+3.
f(x-1)= 2(x-1) + 5
f(x-1)= 2x + 3.
Hoped I helped
The map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.
What is triangle ?
A triangle is a closed two-dimensional figure with three straight sides and three angles. The sum of the angles in a triangle is always 180 degrees. The three sides can be of different lengths, and the three angles can also be of different measures. Triangles are important geometric shapes and are used in many fields, such as mathematics, engineering, and architecture.
To determine which transformation maps triangle ABC to a similar but not congruent triangle, we need to understand the characteristics of similarity and congruence in triangles.
Two triangles are congruent if they have the same shape and size, and their corresponding sides and angles are equal. Two triangles are similar if they have the same shape, but not necessarily the same size, and their corresponding angles are equal.
In the given answer choices, the transformation (x, y) -> (- y, - x) is a reflection over the line y = x, which means it reverses the position of x and y coordinates. This transformation does not preserve the angles of the triangle, and therefore does not result in a similar triangle.
The transformation (x, y) -> (-4x, -4y) is a dilation with a scale factor of 4, which means it increases the size of the triangle by a factor of 4. This transformation preserves the angles of the triangle, and therefore results in a similar triangle that is also congruent.
The transformation (x, y) -> (x + 2, - y - 2) is a translation that moves the triangle 2 units to the right and 2 units down. This transformation preserves the angles of the triangle, and therefore results in a similar triangle.
The transformation (x, y) -> (-y + 2, x + 2) is a rotation of 90 degrees counterclockwise around the point (2, -2). This transformation preserves the angles of the triangle, and therefore results in a similar triangle.
Therefore, the map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.
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Complete Question
The probability that a single radar station will detect an enemy plane is 0.65.
(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?
(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.)
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The probability that a single radar station will detect an enemy plane is
Gnerally the probability that an enemy plane flying over will be detected by at least one station is mathematically represented as
=>
=> Note
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Generally from binomial probability distribution function
Here C represents combination hence we will be making use of of combination functionality in our calculators
Generally any number combination 0 is 1
So
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taking log of both sides
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Gnerally the expected number of stations that will detect an enemy plane is
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