Which of the following will NOT produce a triangle? a
angle measures of 47°, 58°, 75°

b
angle measures of 61°, 61°, 58°

c
side lengths of 5.5 ft, 11 ft, and 5.5 ft
d
side lengths of 5 in, 7 in, and 8 in

c) side lengths 0f 5.5 ft, 11 ft, and 5.5 ft

Step-by-step explanation:

The two shorter side lengths added together must exceed the longer side length  (and equal to does not work)

C) 5.5ft, 11ft, 5.5ft

Step-by-step explanation:

A) 47+58+75 = 180 (Correct)

B) 61+61+58 = 180 (Correct)

C) 5.5+5.5>11 - 11>11  (Incorrect- the two smaller sides must be greater than the largest sides when added together)

D) 5+7>8(Correct)

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

5x+10 is the correct one

hope this