Triangle abc is congruent to triangle xyz. angle a measures 50 degrees angle b measure 2 x plus 40 degrees and angle z measures 4 x plus 8 degrees find the value of x.

Because these triangles are congruent, then angle a is the same degree measure as angle x; angle b is the same as y; and angle c is the same as z. We also know that, because of the Triangle Angle-sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. So for us that means that a+b+c(which is also z) = 180. 50 + 2x + 40 + 4x + 8 = 180. Combining like terms we have 6x + 98 = 180. Subbtracting 98 from both sides gives us 6x = 82 and x = 13 2/3

the first one

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (10, - 6) and r = 6, hence

(x - 10)² + (y - (- 6))² = 6², that is

(x - 10)² + (y + 6)² = 36