If dm=35, what is the value of r ?

The value of r given that DG = r+5 and segment GM = 3r-14 and DM = 35 is 11.

Complete question

If DM = 35, what is the value of r?

line segment DM with a point in between at G. segment dg = r+5 and segment gm = 3r-14

We are given the following expressions:

DG = r + 5

GM = 3r - 14

DM = 35

Using the expression:

DM = DG + GM

Substitute the given values into the expression

DM = r + 5 + 3r - 14

Collect the like terms

DM = r + 3r + 5 - 14

DM = 4r - 9

35 = 4r - 9

4r = 35 + 9

4r = 44

r = 44/4

r = 11

Hence the value of r is 11

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r=12.5 units

Step-by-step explanation:

Well assuming that DM means diameter of a circle, then r should be the radius of the circle.

Diameter of a circle is twice the radius of the circle, hence with the value of Diameter, you should half it to get the value of radius.

Given  diameter =25

Radius will be= 25/2 = 12.5 units

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step-by-step explanation: