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2 years ago

15

What does cpctc represent and when would you use it

2 answers:

faltersainse [42]2 years ago

6 0

CPCTC represents<span> is a succinct statement of a theorem regarding </span>congruent trigonometry<span>, defined as triangles either of which is an </span>isometry of the other. <span>CPCTC states that if two or more triangles are congruent, then all of their corresponding angles and sides are congruent as well. CPCTC is useful in proving various theorems about triangles and other polygons.</span>

sergejj [24]2 years ago

4 0

Answer: Corresponding parts of congruent triangles are congruent.

Step-by-step explanation:

This states that if the two sides/angles of a triangle are congruent,all other sides are also going to be congruent. It is a theorem for mainly trigonometry. According to the image attached any two congruent angles in any of the triangle will be congruent with the corresponding sides in the other triangle. It is used mainly in construction to re-enforce pillars and other structures.

angle POR=LMN if any of them is congruent according to the attached picture.

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Given a function I and a subset A of its domain, let I(A) represent the range of lover the set A; that is, I(A) = {I(x) : x E A}

Ede4ka [16]

Step-by-step explanation:

(a)

Using the definition given from the problem

$f(A) = \{x^2 \, : \, x \in [0,2]\} = [0,4]\\f(B) = \{x^2 \, : \, x \in [1,4]\} = [1,16]\\f(A) \cap f(B) = [1,4] = f(A \cap B)\\$

Therefore it is true for intersection. Now for union, we have that

$A \cup B = [0,4]\\f(A\cup B ) = [0,16]\\f(A) = [0,4]\\f(B)= [1,16]\\f(A) \cup f(B) = [0,16]$

Therefore, for this case, it would be true that $f(A\cup B) = f(A)\cup f(B)$ .

(b)

1 is not a set.

(c)

To begin with

$A\cap B \subset A,B$

Therefore

$g(A\cap B) \subset g(A) \cap g(B)$

Now, given an element of $g(A) \cap g(B)$ it will belong to both sets, therefore it also belongs to $g(A\cap B)$ , and you would have that

$g(A)\cap g(B) \subset g(A \cap B)$ , therefore $g(A)\cap g(B) = g(A \cap B)$ .

(d)

To begin with $A,B \subset A \cup B$ , therefore

$g(A) \cup g(b) \subset g(A\cup B)$

7 0

2 years ago

PLEASE HELP ASAP!!!!! a simulation by tossing a coin to model whether these puppies will be male or female. • Let heads (H) = fe

weeeeeb [17]

Answer:

7/10 or 70%

Step-by-step explanation:

There has to be at least two T in each result of the simulation. This means you can also have 3 T's and 4 T's in the result.

These are the results that qualify as having at least two T's.

1. TTTT, 2. TTTT, 3. THTH, 4. HTTT, 5. TTTT, 7. HTHT, 9. THTH

That is 7 out of the 10 results which is 7/10 or 70%

3 0

1 year ago

What is the solution to this equation? 2x+3=x-4

g100num [7]

Answer:

x = -7

Step-by-step explanation:

2x+3 = x-4

2x-x = -4-3

x = -7

hope it helps ☺️

4 0

2 years ago

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $ 65 $65dollar sign, 65 along with an h

user100 [1]

Answer:

Step-by-step explanation:

Basic Charge = $ 65

Rate per hour = $ 28

Number of hours = H

Rate for H hours = 28 *H = 28H

Equation:

65 + 28H ≤ 250

7 0

2 years ago

Read 2 more answers

A paper cup in the shape of a cone has a radius of 6 cm and is 5 cm high. What is the volume of the cup ?

Vladimir79 [104]

The volume of the cone = 188.5 cm3

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2 years ago