Which of the following best completes the proof showing that δwxz ~ δxyz?
triangles wxz and xyz that share side xz with right angle xzw, wz equals 12, xz equals 6, and yz equals 3
since segment xz is perpendicular to segment wy, angles wzx and xzy are both right angles and congruent. the proportion shows the corresponding sides are proportional, so the triangles are similar by the sas similarity postulate.
a. 6 over 12 equals 3 over 6
b. 6 over 3 equals 6 over 12
c. 6 over 6 equals 3 over 12
d. 12 over 6 equals 3 over 6

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?

Identify all the cases where non-probability sampling is used when attempting to study the characteristics of a large city. studies on every subject in the population divide a population in groups and obtain a sample studies with a limited amount of time demonstrate existing traits in a population studies with the nth person selected