The triangles are said to be similar, so the measures of sides in the larger triangle are proportional to the measures of sides in the smaller triangle. The measures of the two long sides have the ratio 182:65, so we expect the ratio of the shortest sides to be the same:
... ? : 45 = 182 : 65 . . . or . . . ?/45 = 182/65
Multiplying the equation by 45 gives us
... ? = 45·(182/65) = 126
The appropriate choice is ...
... C. 126
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binder: Liquid substance used in paint and other media to bind particles of pigment together.
fresco: Where pigments are mixed with water and then applied to a plaster support, usually a wall or a ceiling.
gouache: A type of watercolor in which white pigment is added creating a duller effect, and a tinted feel.
oil: Painting medium where pigments are binded using oils, usually linseed oil.
painting media: Material made of three components; pigment,vehicle, and binder
pigment: Ground up solids that contain color the color in paint.
tempera: A water based painting medium made with egg yolk, often used to paint frescos and panels.
vehicle: Adjusts the viscosity of the paint.
watercolor: Pigment that is mixed with arabic and gum, and mostly water before it is applied to the paper.
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7^2 = 6^2 + 9^2 - 2(6)(9)cos(m)
-68 = 2(6)(9)cos(m)
cos(m) = -0.6296
m = arcos ( -0.6296)
m = 129.0 degrees
