Ms. wong is redecorationg her office. she has a choice of 7 colors of paint, 4 kind of curtains, 3 colors of carpet, and 2 styles of furniture. how many different ways are there to redecorate if she chooses two different colors of paint, one kind of curtain, one color of carpet, and one style of furninture.

a. 168 ways
b. 1,008 ways
c. 1,176 ways
d. 23 ways

As soon as look at the parallelogram abcd shown below: the table below shows the steps to prove that if the quadrilateral abcd is a parallelogram, then its opposite sides are congruent: which choice completes the missing information for reason 5 in the chart? (6 points) congruent parallelograms congruent triangles similar angles similar triangles

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

For each sentence below, find the value of x that makes each sentence true. (515) 5 = 25* x= (813)2 = 4* x=