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MA_775_DIABLO [31]
3 years ago
14

The sum of the three interior angles of a triangle is 180 degrees.

Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0
It can be b), c) and d).

b) because it says the sum of three angles — this one’s the most obvious, as we can look at x, y and z as three different angles that sum up to 180.

c) works because 3a is, in essence, a + a + a, which we can look at as the sum of 3 angles that adds up to 180.

d) because we already have 2 angles, and “a” is just an unknown angle. It all sums up to 180.

a) and e) dont work because they involve multiplying (x*y*z and x*x*x) and the problem says we need to look for the sum of angles, not the product. :)
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Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R
MrRa [10]
Question 1. Midpoint

Answer: M(-2,4)

Explanation:

1) The coordinates of the midpoint, M (x,y) between two points (x₁,y₁) and (x₂, y₂) are:

x = (x₁ + x₂) / 2 and y = (y₁ + y₂) / 2

2) Replacing the coordinates of the given points P (-4, 1) and Q (0,7) you get:

x = (- 4 + 0) / 2 = - 2, and
y = (1 + 7) / 2 = 4

So, the answer is M (-2,4)


Question 2: The distance between the two midpoints is:

Answer: 7.21


Explanation:

1) Use the formula of distance, which is an application of Pythagora's theorem:

d² = (x₂ - x₁)² + (y₂ - y₁)²

2) Substitute values:

d² = (0 - (-4))² + (7 - 1)² = 4² + 6² = 16 + 36 = 52 ⇒ d = √52 ≈ 7.21
3 0
4 years ago
What is the value of x³ + y³ when x= 3 and y=4?​
lara31 [8.8K]
You do (3)*(3)*(3)= 27
Then you do (4)*(4)*(4)= 64
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I know this is correct because I am doing the same thing in my math class.
Hope this helps. :)
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3 years ago
61. |190 - 210| + |19 - 21| + x = 100
Bogdan [553]
Hello,

|190-210|+|19-21|+x=100
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==>20+2+x=100
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Thus there is a mistake in your question !
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