Answer:
180 ft²
Step-by-step explanation:
The figure is composed of 2 triangles and a rectangle between them
Calculate area of triangle on left
A = 
bh ( b is the base and h the perpendicular height ), thus
A = × 9 × 6 = 4.5 × 6 = 27 ft²
Area of rectangle = 12 × 9 = 108 ft²
Calculate the area of the triangle on the right
A = × 9 × 10 = 4.5 × 10 = 45 ft²
area of composite figure = 27 + 108 + 45 = 180 ft²
Answer: The coefficient of x tells you the slope.
The constant tells you the y-intercept.
Step-by-step explanation: see the attachment
When considering similar triangles, we need congruent angles and proportional sides.
Hence
"Angles B and B' are congruent, and angles C and C' are congruent." is sufficient to prove similarity of two triangles.
"Segments AC and A'C' are congruent, and segments BC and B'C' are congruent." does not prove anything because we know nothing about the angles.
"Angle C=C', angle B=B', and segments BC and B'C' are congruent." would prove ABC is congruent to A'B'C' if and only if AB is congruent to A'B' (not just proportional).
"<span>Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent</span>" is not sufficient to prove similarity nor congruence because SSA is not generally sufficient.
To conclude, the first option is sufficient to prove similarity (AAA)
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