Triangle DEF has coordinates

D(–3, –2), E(–1, –2), F(–2, –4).

The triangle is translated so its image has coordinates

D'(1, –4), E'(3, –4), F'(2, –6).

Which statement shows the rule for the translation?
(x, y) Right-arrow (x – 4, y – 2)
(x, y) Right-arrow (x – 4, y + 2)
(x, y) Right-arrow (x + 4, y + 2)
(x, y) Right-arrow(x + 4, y – 2)

answer is 67%

step-by-step explanation:

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.