A corollary is a theorem that connects to an established theorem in mathematics with a brief proof. As opposed to statement or theorem, the term "corollary" is inherently arbitrary.
Explain about the corollary interior angles theorem?A corollary may be unquestionably true if the idea or theory it is founded on is correct. Any triangle's internal angles, for instance, add up to 180 degrees in all cases. Each interior angle of an equilateral triangle is 60 degrees, which is a corollary of the aforementioned theorem.
A triangle is equiangular if it is equilateral, which is a corollary to the Base Angles Theorem. Converse of Base Angles Theorem Corollary: If a triangle is equiangular, it is also equilateral.
The sum of the measurements of the two distant interior angles determines how large an exterior angle of a triangle must be. the triangle's angle-sum Corollaries: A right triangle's acute angles are complimentary. A theorem whose proof naturally follows from another theorem is called a corollary.
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The corollary interior angles theorem is a mathematical result that relates to the number of sides in a polygon and the sum of the interior angles of that polygon.
What is corollary interior angles theorem?The corollary interior angles theorem states that if a polygon has n sides, then the sum of its interior angles is equal to (n-2) times 180 degrees. This theorem is a direct result of the interior angle theorem, which states that the sum of the interior angles of a polygon with n sides is equal to (n-2) times 180 degrees. To prove the corollary interior angles theorem, we first consider a triangle with three sides. The sum of the interior angles of a triangle is equal to 180 degrees, which confirms that the interior angle theorem holds for a triangle. We can then use this result to extend the theorem to polygons with more sides by induction. If we add one more side to the polygon, the sum of the interior angles increases by 180 degrees. By continuing this process and adding sides to the polygon, we can conclude that the sum of the interior angles of a polygon with n sides is equal to (n-2) times 180 degrees. This confirms the corollary interior angles theorem.
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Another name for a cube is
A. dodecahedron
B. hexahedron
C. icosahedron
D. tetrahedron
please help
Answer:
B
Step-by-step explanation:
A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth
Answer:
C≈51.84in
Step-by-step explanation:
C=2πr
d=2r
Solving for C
C= πd= π·16.5≈51.83628in
HELP ASAP!!Solve for x. Enter the solutions from least to greatest.
X squared minus 5x minus 14=0
lesser x=
greater x=
Someone please hurry, I have no idea what I am doing
Answer
61.80°
Step-by-step explanation:
use SOHCAHTOA to solve
by using SOH
sin? = 51/55
? = 1÷sin(51/55)
? = 61.80°
Juan works at a health food store
two hours a day, three days a
week. His weekly pay is $73.50.
About how much does Juan make
per hour?
Give me the right answer and I’ll mark your answer the brainliest
Answer:
12.25 per hour
Step-by-step explanation:
have a great day!
The answer is 12.25.
I'm sure about the answer.
90% of e is 30. What is e?
Answer:
27
Step-by-step explanation:
Answer:
e = 33.3 (approx. )Step-by-step explanation:
To find out - 'e'
Given,
90 % of e = 30
[tex] = > \frac{90}{100} \times e = 30[/tex]
[tex] = > e = 30 \times \frac{100}{90} [/tex]
[tex] = > e = \frac{100}{3} [/tex]
=> e = 33.3333......
=> e = 33.3 (approx. ) (Ans)
Karen is making 14 different kinds of greeting cards. She is making 12 of each kind. How many greeting is she making.
Circle D is shown. Line segment F E goes through point D. Line segment C D is shown. Line segment G H goes from one side of the circle to the other side. Line segment A B is outside of the circle and intersects the circle at point B.
In circle D, which is a secant?
EF
DC
Line segment A B
Line G H
A secant crosses the circle without passing through the center
The secant line is (c) line segment AB
How to determine the secant lineFrom the question, we understand that line segment AB passes through the circle, without passing through the center (i.e. point A) of the circle
This indicates that line segment AB is a secant
Given that the center of the circle is point D
Hence, the secant line is (c) line segment AB
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Answer:
D. Line GH
Step-by-step explanation: I just did it on edge 2023. Hope this helps!
A rectangle measures 2 1/3 inches by 1 2/3 inches. What is its area?
Please simplify to a fraction and make sure its a whole and a fraction, not just the fraction!
:D
Answer:
i alr answered this correctly
Step-by-step explanation:
3 4/5
I need the answer ASAP!!
Answer:
it equal 23x , that the answer
If the radius of the glass container is 2 inches and the height is 3 inches, how much wax will she need to fill the container?
Answer:
ans is 5 container
Step-by-step explanation:
because 3+2=5
and in my first class is seen the answer
She needs to fill 12 cubic inches of wax in the container.
What is volume?The volume of a thing is the area that it takes up in three dimensions. Simply put, objects occupy space.
Given, the radius of the glass container is 2 inches and height is 3 inches.
To fill the maximum wax in the glass container,
we will find the volume of glass container.
Volume of glass container
= Volume of cylinder.
= π r² h
= π(2)² (3)
= π 4 x 3
= 12π cubic inches.
Therefore, 12 cubic inches of wax she needs to fill.
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Cora is bringing donuts to work as a treat for her co-workers. She buys 12 donuts for $9.96. How much does each donut cost? 30 POINTS FAST NEED HELP
Divide total cost by number of donuts bought:
9.96 / 12 = 0.83
Each donut cost $0.83
Answer:
0.83
Step-by-step explanation:
number of donuts divided by price
12/9.96=1/X
X=0.83
find x=, if x-5=10 HURRY!!!!
PHYSICS
12 people are on the elevator to a height of 120 m. The average mass per person is 50 kg. What work does the lift engine do?
Answer:
720000 J
Step-by-step explanation:
The formula is
Work = Force * Distance
Here we have the weight force, which is calculated as w = m * g
acceleration of gravity (g) ≈ 10 m/s
people's mass (m) = 12 * 50 kg = 600 kg
So Force = 10 m/s * 600 kg = 6000 N
Distance = 120 m
Work = Force * Distance = 6000 N * 120 m = 720000 J = 720 kJ
For what value of n is 20 = {n+4?
a)
b) *
c) 40
d) 60
What is the ratio of new books to used books?
15 books 7 of these books are new . The rest of them are used
Answer:
7 to 8
Step-by-step explanation:
7-15=8
Find the geometric mean of 6 and 30, write your answer in simplest radical form.
Answer:
13.4
Step-by-step explanation:
What integer values for a and b would make the following statement true?
Answer:
i think the values for a and b are: a=2 and b=1/4
Last year, Isabel opened an investment account with 6600 . At the end of the year, the amount in the account had decreased by 24.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?
Answer:
a. $1,617
b. $4,983
Step-by-step explanation:
a. The account suffered a decrease of 24.5% of the original sum of $6,600.
This amount in cash is:
= 24.5% * 6,600
= $1,617
b. If the account reduced by $1,617, the balance left is:
= 6,600 - 1,617
= $4,983
24 students in a class took an algebra test. if 18 students passed, what percent passed.
Answer:
75%
Step-by-step explanation:
18/24=0.75
Answer:
75%
Step-by-step explanation:
24 divided by 4 is 6, so 25% of 24 is 6. 18 divided by 6 is 3, so 18 out of 24 is 75%.
What is the value of 3x^4?
Answer:
243
Step-by-step explanation:
[tex]5( \sqrt{ {x}^{2} + 2x - 14} + x) = 20 \\ \\ \sqrt{ {x}^{2} + 2x - 14} + x= \frac{20}{5} \\ \\ \sqrt{ {x}^{2} + 2x - 14} + x= 4 \\ \\ \sqrt{ {x}^{2} + 2x - 14} = 4 - x\\ \\ {(\sqrt{ {x}^{2} + 2x - 14} )}^{2} = {(4 - x)}^{2} \\ \\ \cancel{ {x}^{2}} + 2x - 14 = 16 - 8x + \cancel{ {x}^{2} } \\ \\ 2x - 14 = 16 - 8x \\ \\ 2x + 8x = 16 + 14 \\ \\ 10x = 30 \\ \\ x = \frac{30}{10} \\ \\ x = 3 \\ \\ 3 {x}^{4} = 3 {(3)}^{4} = 3 \times 81 \\ \\ \huge \red {3 {x}^{4}= 243}[/tex]
what does 7x^2+12x-3 equal?
Answer:
23
Step-by-step explanation:
Find the circumference of the circle use 3.14 for that symbol help ASAP
Please help anyone will give Points
Answer:
do the base are 3 then times that twice
Step-by-step explanation:
Help please and thank you
Step-by-step explanation:
i think it is the third choice
how do i solve these using substitution
Answer:
Step-by-step explanation:
point form:
(3,4)
equation form:
x= 3, y= 4
The predicted costs of an average electric car and an average gasoline car after 2030, are represented by the following tables:
Answer:
they are both exponential funtions
Step-by-step explanation:
because i got it wrong and im telling you the answer
Answer: Both exponential
Step-by-step explanation:
Khan Academy- answered before and got it right
please help. i will give brainliest
the question is in the picture below
A) There is an asymptote at y = 70.
B) The y-intercept is located at (0, 70).
C) There is an asymptote at x = 0.
D) The x-intercept is located at (70, 0).
Answer:
B. The y-intercept is located at (0,70)
Step-by-step explanation:
This is because 70 is on the y part of table. Hope this helps!
whats -5( a -6)+2a ?
Answer:
a is 4 and A is 7
Step-by-step explanation:
Answer:
89443
Step-by-step explanation:
What’s the answer plz help!
Answer:
40 and 60
Step-by-step explanation: