1. write the standard equation for a circle that has a center of (-5.-2) and a radius of 25.

Step-by-step explanation:

The center-radius form a circle is . Okay, it is called standard form.  But I like to call it center-radius form because it tells us the center (h,k) and the radius,r.

So we are given the following information r=25 and center=(h,k)=(-5,-2).

So we just plug this in like so:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.