Write a solution set to describe the inequality. Sketch a number line to shade the solutions. 10 ≤ −2a + 8 ≤ 22

Trapezoid abcd is an isosceles trapezoid, ad||cb, a diagonal line runs from angle d to b. angle cdb is 50 degrees and angle dab is 70 degrees, find the remaining angle degrees for angles bda, dba, bcd, and dcb.

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

The perimeter of a stage is 116 feet. it is 17 feet wide. how long is it?