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ki77a [65]
3 years ago
5

Three interior angles of a quadrilateral have measures of 120°, 100°, and 75°. What's the measure of the fourth interior angle?

Question 1 options: A) 65° B) 100° C) 360° D) 70°
Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

Answer:

The answer is A.

Step-by-step explanation:

Given that the total interior angles in a quadrilateral is 360°. So in order to find the 4th angle, you have to subtract the remaining angles from 360° :

θ + 120 + 100 + 75 = 360

θ  + 295 = 360

θ = 360 - 295

θ = 65

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We say that an integer a is a type 0 integer if there exists an integer n such that a = 3n. An integer a is a type 1 integer if
Delicious77 [7]

Answer:

<em>Proof below</em>

Step-by-step explanation:

Let's assume a is a type 1 integer. By definition, it means we can find an integer n such that

a=3n+1

We need to prove a^2 is a type 1 integer

Expanding

a^2=(3n+1)^2=9n^2+6n+1

If a^2 is a type 1 integer, then we should be able to find an integer m such as

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Equating

a^2=3m+1=9n^2+6n+1

solving for m

m=3n^2+2n

Since we know n is an integer, then the expression of m gives an integer also. Having found the required integer m, the assumption is proven

5 0
3 years ago
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Given the graph below, answer the following questions
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Y=-2x-6
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4 0
2 years ago
PLEASE HELP!!!<br> Calculate the length of segment with the midpoint.
andrezito [222]

Answer:

17. 10

Step-by-step explanation:

1. A segment going from an endpoint to the midpoint of the original segment is going to be 1/2 of the original segment.

       AM = 1/2 AB

2. You know that the length of AM is 5, so plug that in a solve algebraically

       5 = 1/2 AB

       (2)5 = (2) 1/2 AB

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Answer:

18. 30

Step-by-step explanation:

The sum of two segments spanning from the original segment's midpoint to the end equals the length of the original segment. Because the midpoint is exactly in the middle of the original segment, the two other segments should equal each other.

1. You need to first find the length of the two segments by setting them equal to each other and plugging in their equations.

       5x = x+12

2. Solve algebraically        

       5x = x+12

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3. Plug z into the equations for each segment and add them together.

       RM = 5(3)                                                   MS = (3)+12

       RM = 15                                                      MS = 15

                                           15+15 = 30

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3 years ago
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