Use the figure below to determine the relationship between the lengths of mr and ms

Remark

I don't know if you know anything about the sine law or not. There is no obvious relationship that I see. You can find various angles and create a ratio of the two lines, but I see nothing beyond that.

Step One: Find <MSR

<MSR = 180 - 110 from the diagram.

<MSR = 70o

Step Two: Find <SMR

Every triangle has 180 degrees

<SMR + 60 + 70 = 180

<SMR + 130 = 180

<SMR = 180 - 130

<SMR = 50o

Step 3: Use the Sine Law to express the relationship between MR and MS

MR/MS = Sin(70)/Sin(60)

MR/MS = 0.9397/0.8660 = 1.0851

MR = 1.0851 * MS

We know that angle S of triangle MSR is 180-110, since angle S and 110 degrees are supplementary (on a line)

Using the sine rule,

MR/(sin(180-110) = MS/sin(60)

MR/sin(70)=MS/sin(60)

MR*(sqrt(3)/2)/sin(70)=MS

MS=MR(sqrt(3)/2)/sin(70)

MS=0.9216MR (to 4 decimal places)

no idea

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!