An if-then statement must hold under any condition. Let's take it case by case:
A. This one makes sense, and is perfect! If two angles are vertical, then they must be congruent. This holds no matter what. This is your answer.
B. This doesn't hold because Alternate Interior Angles can also be congruent (along with many others). Two angles don't <em>have </em>to be vertical to be congruent.
C. This one is also true because this is the contrapositive of Option A. (Read my reasoning on D to know what a contrapositive is). Therefore, this is correct.
D. This one is the contrapositive of B, which makes it the exact same as B. Thus, this is not the answer. Contrapositive, by the way, just means that it's the inverse and opposite of a given statement. Let's say P is the contrapositive of Q. If this is the case, then if Q is true, P must be true. In our case, Option D is the contrapositive of Option B and since Option B is not true, neither is D.
Y= 1x is the correct answer
area = length times width
A = l* w
A = 10 * 50
A = 500 ft ^2
There are a couple different ways to word this, but the easiest would be by using alternate exterior angles. This means that the angle of the Pizza Palace and the angle under the Shake Hut are congruent.
54 = 54
You also know that because 6th and 7th are parallel, the 54 angle and the Shake Hut are supplementary, meaning they add up to 180 degrees.
So to find the angle of the Shake Hut, all you do is subtract 54 from 180.
180-54 = 126
So the answer is C. 126.
Four million five hundred and eight thousand three hundred
