Come up with an example of three side lengths that can NOT possibly make a triangle, and explain how you know. Select ALL of the answers below that CANNOT form a triangle. Group of answer choices 1 foot, 1 inch, and 1 inch 10 inches, 3 inches, and 5 inches 8 cm, 4 cm, and 2 cm 14 m, 10 m, and 7 m 1 foot, 10 inches, and 7 inches 45 mm, 23 mm, and 38 mm

The choices are

(a) 1 foot, 1 inch, and 1 inch

(b) 10 inches, 3 inches, and 5 inches

(c) 8 cm, 4 cm, and 2 cm  

(d) 14 m, 10 m, and 7 m

(e) 1 foot, 10 inches, and 7 inches

(f) 45 mm, 23 mm, and 38 mm

The options that CANNOT form a triangle are

(a), (b) and (c)

Step-by-step explanation:

An example of three side lengths that can not possibly make a triangle is

5 inches, 2 inches and 2 inches

This is because the sum of the other two sides is less than the length of the third side so their will not meet if they try to form a triangle

Select ALL of the answers below that CANNOT form a triangle. Group of answer choices

(a) 1 foot, 1 inch, and 1 inch

1 foot = 12 inches, so 12 inches , 1 inch, 1 inch will not form a triangle because as stated above, their ends will not meet

(b) 10 inches, 3 inches, and 5 inches

Similarly 3 inches + 5 inches = 8 inches <  10 inches. Hence not a triangle

(c) 8 cm, 4 cm, and 2 cm

4 cm + 2 cm = 6 cm < 8 cm. Hence not a triangle

(d) 14 m, 10 m, and 7 m

10 m + 7 m = 17 m > 14 m. Therefore they will form a triangle

(e) 1 foot, 10 inches, and 7 inches

10 inches + 7 inches = 17 inches > 12 inches. Therefore they will form a triangle

(f) 45 mm, 23 mm, and 38 mm

23 mm + 38 mm = 61 mm < 45 mm. Therefore they will form a triangle  

Among the above choices, a, b, c will not form a triangle.

1 foot, 1 inch, and 1 inch

8 cm, 4 cm, and 2 cm

30

step-by-step explanation:

times by times

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.