Decide whether it is possible for a triangle to have the three angle measures or three side lengths given. If it is possible, then decide whether all such triangles are congruent.
Measurements
Description
14 m, 22 m, 40 m
Triangle possible
Triangles with these measurements
Choose one
No triangle possible
9 cm, 3 cm, 7 cm
Triangle possible
Triangles with these measurements
Choose one
No triangle possible
51°, 15°, 24°
Triangle possible
Triangles with these measurements
Choose one
No triangle possible
Triangle possible
Triangles with these measurements
15°, 150, 150°
Choose one
No triangle possible

Step-by-step explanation:  The lengths of any two sides of a triangle must add up to more than the length of the third side (Triangle Inequality Theorem). The sum of the interior angles add up to 180°.

the answer will be b x² +x-1

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.