All categories

3 years ago

What does cpctc represent and when would you use it

Mathematics

2 answers:

faltersainse [42]3 years ago

6 0

CPCTC represents is a succinct statement of a theorem regarding congruent trigonometry, defined as triangles either of which is an isometry of the other. 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.

sergejj [24]3 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.

You might be interested in

Quadrilateral ABCD is inscribed in a circle. m∠A is 64°, m∠B is (6x + 4)°, and m∠C is (9x − 1)°. What is m∠D?

Flauer [41]

Answer:

The m∠D is 98° ⇒ answer D

Step-by-step explanation:

* Lets revise some facts in the circle

- The quadrilateral is inscribed in a circle if its four vertices lie on the

circumference of the circle

- It is called a cyclic quadrilateral

- Every two opposite angles in it are supplementary means the

sum of their measures is 180°

∵ ABCD is inscribed in a circle

∴ ABCD is a cyclic quadrilateral

∵ ∠A and ∠C are opposite angles in the cyclic quadrilateral ABCD

∴ ∠A and ∠C are supplementary

∴ m∠A + m∠C = 180°

∵ m∠A = 64°

∵ m∠C = (9x - 1)°

∴ 64 + (9x - 1) = 180 ⇒ simplify

∴ 63 + 9x = 180 ⇒ subtract 63 from both sides

∴ 9x = 117 ⇒ divide both sides by 9

∴ x = 13

- Lets find the measure of ∠B

∵ m∠B = (6x + 4)°

∵ x = 13

∴ m∠B = 6(13) + 4 = 78 + 4 = 82°

- Lets find the measure of ∠D

∵ ∠B and ∠D are opposite angles in the cyclic quadrilateral ABCD

∴ ∠B and ∠D are supplementary

∴ m∠B + m∠D = 180°

∵ m∠B = 82°

∴ 82° + m∠D = 180° ⇒ subtract 82° from both sides

∴ m∠D = 98°

* The m∠D is 98°

3 0

4 years ago

An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will

dimulka [17.4K]

Answer:

40 more paintings in order to maximize sales making a total of 60 paintings

Step-by-step explanation:

Let x= no.of copies above 20

Total Sales(x) = (number of copies)(price per copy)

Sales (x)= (20 +x)(100 –x)

Open bracket

=1200-20x+100x-x^2

=1200+80x-x^2

Derivative of the sales

80-2x=0

80=2x

Divide both sides by 2

40=x

Because Sales(x)= –2, this is maximal by the second derivative test

The artist should make 40 more paintings in order to maximize sales making a total of 60 paintings.

4 0

4 years ago

Which of the following fractions would use bar notation? 5/6 1/10 1/20 1/12

OLga [1]

Answer:

I am pretty sure 5/6 and 1/12

Step-by-step explanation:

Because 5/6 = 0.83333 (repeating) -- which means you use bar notation over the three

The same for 1/12 = 0.083333 (repeating) -- which means you use bar notation over the three

4 0

3 years ago

How many sides does a 27-gon have?

USPshnik [31]

Answer:

Step-by-step explanation:

the number of side gives the name

5 0

3 years ago

Greta reads 1/2;1 pages per minute when she reads her English homework assignment. At this rate, how long does it take Greta to

faltersainse [42]

Answer:

It takes Greta around 2 hours to read 60 pages

Step-by-step explanation:

It takes Greta 2 minutes to read a page and 60 times 2 is 120 minutes which is equal to 2 hours

7 0

3 years ago