Each row of the table has two of the interior angle measures of two triangles.

which triangles are similar?

choose similar or not similar for each pair of triangles.
triangles

triangle 1: 15°, 45°

triangle 2: 45°, 120°

triangle 1: 90°, 45°

triangle 2: 45°, 45°

triangle 1: 130°, 35°

triangle 2: 25°, 130°

Similar; similar; not similar

Step-by-step explanation:

For the first pair of triangles:

The known angles in Triangle 1 are 15° and 45°.  Since the sum of the measures of the angles of a triangle is 180°, this makes the missing angle

180-(15+45) = 180-60 = 120°

The known angles in Triangle 2 are 45° and 120°.  This makes the missing angle

180-(45+120) = 180-165 = 15°

Since all 3 angles are congruent in both triangles, the triangles are similar.

For the second pair of triangles:

The known angles in Triangle 1 are 90° and 45°.  This makes the missing angle

180-(90+45) = 180-135 = 45°

The known angles in Triangle 2 are 45° and 45°.  This makes the missing angle

180-(45+45) = 180-90 = 90°

Since all 3 angles are congruent in both triangles, the triangles are similar.

For the third pair of triangles:

The known angles in Triangle 1 are 130° and 35°.  This makes the missing angle

180-(130+35) = 180-165 = 15°

The known angles in Triangle 2 are 25° and 130°.  This makes the missing angle

180-(25+130) = 180-155 = 25°

Since all 3 angles are not congruent in both triangles, the triangles are not similar.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2