MAP Growth Math 6+ Geometry. Practice it free.

Both points have $x = -1$, so the length is $|2 - (-5)| = 7$.

Together the congruent angles measure $2 \times 38.2^{\circ} = 76.4^{\circ}$, so $\angle M = 180^{\circ} - 76.4^{\circ} = 103.6^{\circ}$.

A heptagon has $7$ sides: $(7-2) \times 180 = 900°$.

The sum of the interior angles of a triangle is $180^{\circ}\textsf{.}$ So $m\angle F = 180^{\circ} - 127^{\circ} = 53^{\circ}\textsf{.}$

Trapezoid area $= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(7 + 10) \cdot 6 = \dfrac{1}{2}(17) \cdot 6 = 51$.

The area of a rhombus is half the product of the diagonals: $\dfrac{1}{2} \cdot 7 \cdot 8 = 28\text{ ft}^{2}\textsf{.}$

The center is $(9, 2)$ and the radius is $8\textsf{.}$ A point on the circle must satisfy $2 - 8 \le b \le 2 + 8\textsf{,}$ so $-6 \le b \le 10\textsf{.}$ The value $4$ is in this interval.

The area ratio is $\dfrac{64}{16} = 4 = k^{2}\textsf{,}$ so the scale factor is $k = 2\textsf{.}$ Then $AB = 5 \cdot 2 = 10\textsf{.}$