The equilateral triangle theorem states that in an equilateral triangle, all sides are equal in length and all angles are equal in measure (60 degrees).
How to prove the triangle theorem?The equilateral triangle theorem states that in an equilateral triangle, all sides are equal in length and all angles are equal in measure (60 degrees).
To prove this theorem, we can use the following steps:
1. Draw an equilateral triangle and label the sides as a, b, and c.
2. Use the definition of an equilateral triangle to state that all sides are equal in length, which means a = b = c.
3. Use the definition of an equilateral triangle to state that all angles are equal in measure, which means all angles are equal to 60 degrees.
4. Use the properties of a triangle to show that the sum of the interior angles of a triangle is 180 degrees.
5. Substitute the values for the sides and angles of the equilateral triangle into the formula for the sum of the interior angles of a triangle:
a + b + c = 180 degrees.
6. Simplify the equation by substituting the equal values of a, b, and c:
3a = 180 degrees.
7. Divide both sides of the equation by 3 to find the value of a:
a = 60 degrees.
8. Since a represents the measure of each angle in the equilateral triangle, this proves that the measure of each angle in an equilateral triangle is 60 degrees.
This proof demonstrates that the equilateral triangle theorem is true for all equilateral triangles.
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A computer store changed the price of a laptop. It was originally $900, but now it is $1,100.Find the percent of change
Answer:
The percent of change is 22.22%.
Step-by-step explanation:
You can calculate the percent of change by subtracting the original number from the final number and dividing that by the original number. Then, you have to multiply the result for 100:
percent of change=((1,100-900)/900)*100
percent of change=(200/900)*100
percent of change=22.22%
According to this, the answer is that the percent of change is 22.22%.
PLEASE ANSWER THIS ASAP WHOEVER IS CORRECT GET BRAINLIST
Answer:
-Entire triangle region : 120 sq.cm
-Area of semi circle : 100.53 sq.cm
-Entire composite figure : 220.53 sq.cm
Step-by-step explanation:
Area of triangle = ½ × base × height
= ½ × (8+8) × 15
=½ × 16 × 15
= 120 sq.cm
[tex]area \: of \: semi \: circle = \frac{1}{2} \pi {r}^{2} \\ = \frac{1}{2} \times \pi \times {8}^{2} \\ = \frac{1}{2} \times \pi \times 64 \\ = 32\pi[/tex]
=100.530.......
=100.53 sq.cm (rounded to 2 decimal place)
Area of entire figure = 120 + 100.5353
= 220.53 sq.cm
Hope I could help:))
Bob is throwing a party. He has 222222 pints of soda. At the end of the party, there are 888 pints of soda.
How many cups of soda were drank during the party?
I do not know that that is hard
Answer: Why does this guy need so much soda? And my brain isn't working for math right now. Sorry sweetheart.
Step-by-step explanation: Have a nice day!
What is the length of a segment with endpoints (2, 5) and (10, 11) *
•5 units
•8 units
•10 units
•14 units
Answer: 14 Units
Step-by-step explanation: Subtract (10-2) and (11-5)
Can Someone PLSSS help me on this math homework from 12-16
A second recipe calls for 2/3 cup of sugar for every 1/2 teaspoons of vanilla. What is the unit rate of cups per teaspoon?
Answer: The answer is 4/3 the original answer is 1 and 1/3 but if you simplify it you get 4/3
-hopes this helps<3
Step-by-step explanation:
What is the surface area of this figure?
Thanks in advance!
Answer:
24 cm ² B.
Step-by-step explanation:
if the triangle is a right triangle he I know it
do 4*3=12 the /2 so 6
8-4=4 4*1.5=6
3*4=12
12+6+6
24 I think
help pls ..........!!!!!!!!!!!!!!
Answer:
x(3 + 4)
4(3x + 1)
Step-by-step explanation:
3x + 4x
The common factor is x, so factor out the x.
3x + 4x = x(3 + 4)
12m + 4
The common factor is 4, so factor out the 4.
12m + 4 = 4(3x + 1)
What is the answer and can you please explain how to do the work.
Answer:
28in
Step-by-step explanation:
you cut the face in shapes you recognize how to do the area of. Then find the numbers of the shapes that might be missing, then add them all up.
I see a rectangle, square, and square.
A = 10×2
A = 20in
A = 2x2
A = 4
A = 2x2
A = 4
add the areas up you get 28in
Please answer i don’t know
A magazine has 96 pages. There are advertisements on 75% of the pages. How many of the magazine’s pages do not have advertisements
In the equation y = kx, what does the variable k represent?
A. The dependent variable
B. The constant of variation
C. The independent variable
D. The direct variation equation
Answer:
I think it B but I really don't know cause need like an example
The k in the equation represents Option B) The constant of variation
What is a constant in an equation?A constant is a value or number that never changes in expression; it's constantly the same. For example, 36 and 82 are constant because its face value is 36 and 82 respectively. Its value never changes.
Given here the equation y=kx where k is the slope and a scalar value thus it is independent of x and y and thus is a constant.
Hence, The k in the equation represents Option B) The constant of variation
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find missing exponents
What is 2 times 200 - 321 + 67= 56-65
jameskeeton04 pls talk to me
Answer: 2*200-321+67=56-65? look at the picture
Step-by-step explanation: Hope this help :D
Answer:
-9
Step-by-step explanation:
2 x 200 = 400
400 -321 = 79
79 + 67 = 146
56 - 65 = -9
Please let me know if this helps.
Which coupon gives you a better deal on the ps5? (Explain why as well)
Answer:
30%
Step-by-step explanation:
500 - $30 = $470
30% of 500 is 150
500-150=350
A_______ represents data through pictures of objects.
(Data,Tally,Bar graph, Pictograph)
Answer:
Pictograph
Step-by-step explanation:
What are the slope and y-intercept of line r and line s?
Answer:
S y-intercept (0,2)
R y intercept (0,0)
Step-by-step explanation:
What is another way to describe an event with a probability of 1?
Answer:
Likely to get it.
Step-by-step explanation
Do you mean 1% or 1? If 1 then it is likely to pick that.
If it is 1% then it's the opposite (unlikely) to pick that.
Hopes this makes sense!
A circular mirror has a radius of 14 inches. What is the area of the mirror? Use 3.14 for π (pi). Round to the nearest tenth.
I hope this helps you
Area=pi. r^2
Area =3,14.(14)^2
Area =3,14.196
Area =615,4
A rental company charges $8 per hour to rent a kayak plus a $12 rental fee. If Margerie spent $44, for how many hours did she rent the kayak?
Answer:
4
Step-by-step explanation:
44-12=32 divide then 4
Can someone help me with this please
Step-by-step explanation u just have to add them all the same ok
ok now this hehehe, i just wanna see if im correct.
Answer:
x = 49.4°Steps:
given: m∠EFG = 90°
tan(x) = FG/EF
tan(x) = 10.5/9
tan(x) = 7/6
tan(x) = 1.166..
x = tan⁻¹(x)
x = tan⁻¹(1.166..)
x = 49.39.. ≈ 49.4°
need help with logs problem pls asap i’ll mark u brainlist
What is the name given to the point (0,7)
A.Just a plain point
B. Y - Intercept
C. Vertex
D.Root
-4x = -28
I need an answer...
Answer:
x = 7
Step-by-step explanation:
-4x/-4 = -28/-4
x = 7
Find the number that makes the ratio equivalent to 1:8.
8:
Submit
Answer:
8:64
Step-by-step explanation:
1*8 = 8
so if we do the number under 1 (8) times 8 the ratio will be consistent
So 8*8 or 8² is 64
Hope I helped (p.s. maybe brainlest answer)
why is the petrol price cheaper at coastal than inland
Answer: If a litre of fuel at the coast (95 octane) costs R13,89, then 38% is tax. The difference between inland and coastal fuel prices is mainly due to transport costs of the fuel from depots at the coat to inland outlets.
The circumference of a circle is 27.004 yards. What is the circle's radius?
Answer:
Step-by-step explanation:
Remark
Givens
Circumference = 27.004
pi = 3.14
Formula
C = 2*pi * r
Solution
27.004 = 2 * 3.14 * r
27.004 = 6.28 * r
27.004/6.28 = r
r = 4.3
solve -4x/x-1+2x+6/x^2-1=1
Answer:
Step-by-step explanation:
6/x^2 + 2 x = 7
2 x^3 - 7 x^2 = -6 (for x!=0)
(2 (x^3 - 3 x^2 + 3))/x^2 = 1
Greatest Common Factor (GCF) and Lowest Common Multiple (LCM) of (40, 42) ASAP Please
Answer:
the gcf for 40 and 42 is 2
and lcm for 40 and 42 is 840
Step-by-step explanation:
the factors of 40 are 1,2,4,5,8,10,20,40 ; the factors of 42 are 1,2,3,6,7,14,21,42 .
So what they have in common for GCF is 2 for a factor .
multiples of 40: 40, 80, 120,160,200,240,etc.
multiples of 42 : 42, 84,126,168,210,252,etc.
What they have in common for LCM is a multiple is 840
hope I helped ! please mark me brainlest if I got it right :)