Which of the following statements is true if m∠e = m∠y and m∠f = m∠x?

triangles efg and yxz in which triangle yxz is larger than efg

segment ef ~ segment xz.
the measure of segment yz is three times the size of segment eg.
segment fe over segment xy equals segment eg over segment yz equals segment gf over segment zx
there is a sequence of rigid motions that map δefg onto δyxz.

Does the problem involve permutations or? combinations? do not solve. the matching section of an exam has 4 questions and 7 possible answers. in how many different ways can a student answer the 4 ? questions, if none of the answer choices can be? repeated?

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

The holiday party will cost $160 if 8 people attend.if there are 40 people who attend the party, how much will the holiday party cost