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?

The sum of 5consecutive even numbers is 100. what is the first number in this sequence?

Two trains leave stations 546 miles apart at the same time and travel toward each other. one train travels at 95 miles per hour while the other travels at 115 miles per hour l. how long will it take for the two trains to meet

The graph of the function f(x) = (x + 2)(x + 6) is shown below. which statement about the function is true? the function is positive for all real values of x where x > –4. the function is negative for all real values of x where –6 < x < –2. the function is positive for all real values of x where x < –6 or x > –3. the function is negative for all real values of x where x < –2.