A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Which statement correctly explains how to find the distance traveled after 120 hops? Answers:
Subtract 120 – 75 to get 45, then add that number to 120.
Add 30 + 75 + 120.
20 multiplied by 6 is 120, so you can multiply 30 times 6 to find the distance.
30 multiplied by 4 is 120, so you can multiply 20 times 4 to find the distance.

Solve 2^x=32 and rewrite this equation in a logarithmic form

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

To decrease an amount by 16% what single multiplier would you use