Triangle J′K′L′ shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation: Two triangles are drawn on a grid. First triangle has vertices J 6 and 12, K 9 and 6, L 12 and 9. Image triangle has vertices J prime 2 and 4, K prime 3 and 2, L prime 4 and 3. Which scale factor was used to create triangle J′K′L′? 1 by 3 4 3 one quarter

Solve the problem by using a venn diagram a group of students were surveyed about their taste in music.they were asked how they like three types of music: rock, country western and jazz.the results are summarized below: no one dislikes all three types of music.six like all three types of music.eleven don’t like country western.sixteen like jazz.three like country western and jazz, but not rock.six don’t like rock.eight like rock and country western.seven don’t like jazz.how many students were surveyed?