Write an equivalent expression to show the relationship of multiplication and addition.
1. 10 + 10 + 10
2. 4 + 4 + 4 + 4 + 4 + 4 + 4
3. 8 × 2
4. 3 × 9
5. 6m
6. d + d + d + d + d

Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters

Which sum or difference identity would you use to verify that cos (180° - q) = -cos q? a.) sin (a -b) = sin a cos b – cos a sin b b.) cos (a -b) = cos a cos b – sin a sin b c.) cos (a -b) = cos a cosb + sin a sin b d.) sin (a + b) = sin a cos b + cos a sin b