Mathematics, 10.06.2020 18:57, erika6072
Lucy has been asked to construct as many unique triangles as she can that have all sides of integer length, one side of length 7 cm, and a perimeter less than or equal to 20 cm. Find the number of unique triangles, isosceles triangles, and triangles with perimeter exactly equal to 20 cm that Lucy can construct.
A.
23 unique triangles, 8 isosceles triangles, and 2 triangles with perimeter equal to 20 cm
B.
21 unique triangles, 9 isosceles triangles, and 3 triangles with perimeter equal to 20 cm
C.
19 unique triangles, 7 isosceles triangles, and 4 triangles with perimeter equal to 20 cm
D.
22 unique triangles, 10 isosceles triangles, and 3 triangles with perimeter equal to 20 cm
Answers: 3
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Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
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