Atriangle has side lengths measuring 3x cm, 7x cm, and h cm. which expression describes the possible values of h, in cm? 4x < h < 10x 10x < h < 4x h = 4x h = 10x

4x < h < 10x

Step-by-step explanation:

The triangle inequality theorem tells us that the 3rd side of a triangle will always be between the sum of the lengths of the other two sides and the difference of the lengths of the other two sides.

For example, If the lengths of a triangle are 5 and 10, the 3rd side length would be (let third side be x):

10 - 5 < x < 10 + 5

5 < x < 15

Now, looking at our problem, the third side, h, would be:

7x - 3x < h < 7x + 3x

4x < h < 10x

This is correct.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?