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vova2212 [387]
3 years ago
5

Find the values of x and y.

Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Hi! Hope this helps, and if it does, please mark brainliest!

Answer:

y = 43 and x = 90

Step-by-step explanation:

We know that a triangle is 180 degrees (each side equals 180 since they are their own triangles) We will focus on the left triangle. Since x is a right angle, it is 90 degrees. Since there is a slash across the two sides of the main triangle, that means both sides are equal. This means that the bottom left angle, the one above b, is equal to 47 degrees. That means we know two angles out of 3. For the sake of simplicity, the bottom left angle, the one above b, is point z. So point z is 47, and x is 90, added they are 137. Subtract that from 180, you will get 43. 43 is y.

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What ordered pair is a solution of the equation y-3=5(x-2)
RideAnS [48]

Answer:

(0,-7)

Step-by-step explanation:

In this question, we need to find an ordered pair of (x,y)  

First we need to solve the equation for Y. It will be:

y-3=5(x-2)  

y=5x-10 +3

y= 5x -7

Then, using the equation you can find the value of y using the value of x. If x= 0 the calculation will be

y= 5x-7

y= 5(0) - 7

y=-7

The ordered pair will be: (0,-7)

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Answer:

  1.  9 < s < 17

  2.  5 < MN < 19

  3.  AD > BD

Step-by-step explanation:

1. The triangle inequality tells you the sum of any two sides of a triangle must exceed the length of the other side. (Some versions say, "must be not less than ..." rather than "must exceed.") In practice, this means two things:

  • the sum of the shortest two sides is greater than the length of the longest side
  • the length of any side lies between the sum and the difference of the other two sides

Here, we can use the latter fact to write the desired inequality. The difference of the given sides is 13 -4 = 9; their sum is 13 +4 = 17. The third side must lie between 9 and 17. If that side length is designated "s", then ...

  9 < s < 17

(If you don't mind a "triangle" that looks like a line segment, you can use ≤ instead of <.)

__

2. Same as (1) using different numbers.

  12 -7 < MN < 12 +7

  5 < MN < 19

__

3. Side CD is congruent to itself, and side CA is shown congruent to side CB. This means the requirements of the Hinge Theorem are met. That theorem tells you the longer side is opposite the greater angle:

  AD > BD

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