Alyssa received a leadership patch, as shown below, when she was elected Student Body President. The patch is in the shape of a right triangle where the top section and the whole patch form similar triangles. If x = 45 mm, z = 80 mm, and the tangent of the bottom angle, where the star is located, is equal to , what is the length of w?

What is 1.5% of 120 or what number is 1.5% of 120

The cost of turkey is directly proportional to its weight. if a 12-pount turkey costs $27, how much does a 13-pound turkey cost? a. $33.75 b. $36.00 c. $31.00 d. $32.50

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?