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Agata [3.3K]
3 years ago
10

Which additional word or words in the sentence should be capitalized?

Mathematics
2 answers:
docker41 [41]3 years ago
4 0
The correct option(s) are A. hope this helps
Montano1993 [528]3 years ago
3 0
A, C, and D. Hope this helps!
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Plz solve . 3+ x > -9
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Answer:

12

Step-by-step explanation:

3 + x>-9 x=12 15>-9

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Given each set of points, determine if AB and CD
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the Line from C to D had a slope of 1

since the slopes are equal the lines are paralell

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In a triangle, the sum of the measures of the first two angles is 12 less than the measure of the third angle. In addition, the
PSYCHO15rus [73]

the sum of the internal angles of a triangle are equal to 180 degrees.

once i remembered that the problem became a lot easier.

let a, b, and c be the angles of the triangle.

-----

let a = 2*b

-----

let c = a+b-12

-----

the above two statements are given.

since the sum of the internal angles of a triangle are equal to 180, then we have a third equation to work with which is

-----

a + b + c = 180

-----

we now have 3 equations for 3 unknowns and we should be able to solve for each of the unknowns.

-----

it looks like the easiest thing is to solve for b. once we find b, the rest should fall into place very nicely.

-----

since a = 2*b, we can substitute 2*b for a in the equation a + b + c = 180.

that equation then becomes 2*b + b + c = 180 which becomes 3*b + c = 180.

looking at the equation c = a + b - 12, we solve for b as follows:

since we know that a = 2 * b, we can substitute 2*b for a and the equation becomes c = 2*b + b - 12 which becomes c = 3*b - 12.

-----

the equation we are working with is 3*b + c = 180 which originally started as a + b + c = 180.

we can substitute 3*b - 12 for c and the equation becomes

3*b + 3*b - 12 = 180 which becomes 6*b = 192 after adding 12 to both sides and combining like terms.

dividing both sides of the equation by 6 and we get b = 32 degrees.

-----

we have b = 32 degrees.

we have a = 2 * b so a = 64 degrees.

we have c = a + b - 12 which becomes c = 32 + 64 - 12 which becomes c = 96 - 12 which becomes c = 84 degrees.

-----

substituting in the equation a + b + c = 180, we get 32 + 64 + 84 = 180 which becomes 96 + 84 = 180 which becomes 180 = 180.

-----

answer is:

a

4 0
3 years ago
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