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

answerthe vertex form

step-by-step explanation:

did you get the answer yet?

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.