Answer:
27. Alternate exterior angles are congruent.
28. Same-side interior angles are supplementary.
Step-by-step explanation:
27. The two angles whose measures are set equal by the equation are on opposite sides of the transversal, so are "opposite." They are "outside" the space between the parallel lines, so are "exterior." These descriptors identify the angles as "opposite exterior" angles. The theorem/postulate that lets you set their measures equal is ... [the one written above].
28. The two angles whose measures are added in the equation are on the same side of the transversal, so are "same-side" angles. They are "inside" the space between the parallel lines, so are "interior." These descriptors identify the angles as "same-side interior" angles. The theorem/postulate that says their measures sum to 180° is ... [the one written above].
B is false because if two numbers are rational they will always multiply to a rational number.
Answer:
event A is dependent on event B since roll 3 will result if you select a face card
Answer:
z = -7
x = 1.6
There is no equation in what you typed on the third lie so it cannot be solved (equal sign is missing)
x = - 132/7
Step-by-step explanation:
For all cases the goal is to isolate the unknown (represented by a letter) on one side of the equal sign by using mathematical operations simultaneously on both sides.
In the first equation, to isolate z we need to subtract 4 from both sides:

In the second equation: in order to isolate x we need to get rid of the factor 4 that is multiplying x, therefore we use the division by 4 on both sides:

The third expression you wrote doesn't contain an equal sign and therefore it s not an equation (cannot be solved)
In the last equation, in order to isolate x we need to divide both sides by 7 and also to multiply both sides by 33:
