What is the size of angle x?

Mathematics

2 answers:

harina [27]3 years ago

8 0

The angle of x is 106 degrees

Elden [556K]3 years ago

3 0

In the Rectangle the two diameters bisect each other which means that every triangle is an isosceles triangle which means that the triangle with the number 74 has another angle which is 74 and the remaining angle is supplementary with x. The remaining angle = 180-(74×2)=32 x= 180-32 because they lie on the same straight lines x=148

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Step-by-step explanation:

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3 years ago

Can i have help with these questions

adell [148]

Answer:

(-3, 5), (-1, -1), (5, -3)

Step-by-step explanation:

Each pair of vertices can be one of the diagonals. Then the missing point will be found at the coordinates that are the sum of those, less the coordinates of the third point.

Given points are ...

A(-2, 2), B(1, 1), C(2, -2)

For AB a diagonal, D1 is ...

A+B-C = (-2+1-2, 2+1-(-2)) = (-3, 5)

For AC a diagonal, D2 is ...

A+C-B = (-2+2-1, 2-2-1) = (-1, -1)

For BC a diagonal, D3 is ...

B+C-A = (1+2-(-2), 1-2-2) = (5, -3)

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For a lot of parallelogram problems I find it easiest to work with the fact that the diagonals bisect each other. This means they both have the same midpoint, so for quadrilateral ABCD, we have (A+C)/2 = (B+D)/2. Multiplying this by 2 gives the equation we used above, A+C = B+D, so D=A+C-B. Remember, in ABCD, AC and BD are the diagonals.