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lbvjy [14]
3 years ago
13

What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?

Mathematics
1 answer:
mylen [45]3 years ago
6 0
In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.

It is logical therefore, that the first step in proving this is by using the definition of a triangle.
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5. There are 2.54 centimeters in one inch. How many inches are there in 51.78 centimeters? Round your answer to the nearest
Alona [7]

Divide the total centimeters by centimeters per inch:

51.78 / 2.54 = 30.386 inches.

6 0
3 years ago
What is the simplified form of the quantity y-squared plus 7y plus 12 over the quantity y-squared plus 8y plus 15
Burka [1]
Firstly, let's factorise each equation individually - to do this, find 2 numbers that when summed add to the value of the second term, and when multiplied give the value of the third term.

7 and 12 give us 4 and 3 (4+3=7, 4*3=12) -- 8 and 15 give us 5 and 3 (5+3=8, 5*3=15)

Now we can rewrite these equations as (y+4)(y+3) and (y+5)(y+3) respectively.

Putting this in a fraction: (y+4)(y+3)/(y+5)(y+3) -- We can clearly see that there is a y+3 on both sides of the fraction, and given there are no terms outside of the brackets being multiplied, we can directly cancel.

This gives us our final answer:
(y+4)/(y+5)
8 0
3 years ago
A regular octagon has a radius of 6 ft and a side length of
Svetlanka [38]

Answer:

<h2>Area of the regular octagon is approximately 102ft²</h2>

Step-by-step explanation:

Given the radius and length of a side of regular octagon as shown;

radius = 6ft and length of side = 4.6ft

Area of a regular octagon is expressed as A = 2(1+\sqrt{2} )a^{2} where a is the length of one side. Given a = 4.6ft

Area = A = 2(1+\sqrt{2} )(4.6)^{2}\\

= 2(1+\sqrt{2} )*21.16\\= (2+2\sqrt{2})*21.16\\ = 4.83*21.16\\= 102.20ft^{2} \\

Area of the regular octagon is approximately 102ft²

3 0
3 years ago
Hamburgers come packed 12 in a package. Hamburger buns come packed 10 in a package. If we want one hamburger for each bun for a
BlackZzzverrR [31]

Answer:

5 hamburger packages and 6 bun packages

Step-by-step explanation:

It is asking for the highest common multiple of 12 and 10. the first time a multiple of 12 is divisible by 10 is at 12x5, which is 60. now divide 60 by 12 and 10, 5 and 6.

4 0
2 years ago
How do you solve this
marusya05 [52]
Hope this helps! Good luck!

3 0
4 years ago
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