First and foremost that is a quadrilateral, because it is a 4-sided figure. If it was a trapezoid it would have only 1 set of parallel lines. So NOT a trapezoid. It is a parallelogram because parallelograms have 2 pair of parallel lines. It is not a rhombus because a rhombus has 4 equal length sides. So it's not a square either. It is not a rectangle either because rectangles have 4 right angles and this one does not. So your choices are 1 and 3.
Step 6 wants us to show two angles which are also two interior angles that are located on the same side.
Interior angles are angles that are INSIDE the parallel lines.
On the diagram given, there are two pairs of interior angles that are on the same side:
Angle VQT and angle ZRS
Angle UQT and angle WRS
Two interior angles on the same sides add up to 180°
The missing statement that would fit statement in Step 6 is:
m∠VQT + m∠ZRS = 180°
Answer: Second option
Answer:

Step-by-step explanation:

Add 9 to both sides:


Subtract 6a from both sides:


Divide both sides by -8:


The answer for this will be 2
Answer:
cos q = 3/5
Step-by-step explanation:
Standard position means the vertex (point or corner of the angle) is at (0,0) and one side of the angle is glued to the positive x-axis (facts, but not technical math terms) See image. Special triangles have all three sides nice and clean with whole number lengths, we call these Pythagorean triples. 3-4-5 is your most basic Pythagorean triple. So we don't even have to calculate the hypotenuse, see image. Now the triangle shown is easy to work with, using entry-level trig...cos = ADJ/HYP. So we get 3/5=.6 BUUuuuut, the angle q in the original problem is actually the giant angle, marked in yellow (see image) and we're in the fourth quadrant which means there's negative numbers all over the place. So just to be sure the answer is .6 and not -.6 Check your signs. One trick to remember is the ASTC markings in the quadrants. I use All Students Take Calculus, but what it means is in the first quadrant All the trig functions are positive. Only Sine (and fam) are positive in the 2nd quadrant. Tan (and fam) in the 3rd and Cos and fam in the 4th quadrant. It's a good quick check.
cos q = 3/5 OR cos q = .6