How many triangles can be constructed with sides measuring 7 cm, 6 cm, and 9 cm? Question 5 options:

none

one

more than one

Only one triangle is possible.

Step-by-step explanation:

Triangle inequality says that if sum of any two sides of the traingle is greater than the third side, then the triangle is possible.

Here,

,

Therefore, a triangle is possible with the given measurements,

Let us assume there is another triangle with same measurement with same measurements 7 cm, 6 cm, and 9 cm.,

By SSS congruency criteria both the triangles will be congruent.

Thus, all triangles with same measurement will be congruent to each other.

Hence, only one triangle is possible.

one

took the quiz on k12 and got it right

sorry man i accidentally pressed yes my bad

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.