Pa pb rs are tangents. why pr+rs+sp=pa+pb

Step-by-step explanation:

Theorem:

If two tangents are drawn to a circle from an external point to the circle, then the tangent segments are congruent.

Because of the theorem above, these pairs of segments are congruent:

PA, PB

RA, RC

SC, SB

Now look at PA and PB.

PA = PR + RA

PB = SP + SB

Since from above, RA = RC and SB = SC, substitute RA with RC and SB with SB in the two equations above. You get:

PA = PR + RC

PB = SP + SC

Now add the two equations above.

PA + PB = PR + RC + SC + PS,

but RC + SC = RS, so you get

PA + PB = PR + RS + SP

Switch sides to get

PR + RS + SP = PA + PB

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.