The points (-3,9) and (-1,r) lie on line with slop -2.

The value of r is 5

Step-by-step explanation:

The question is

Find out the value of r

we know that

The formula to calculate the slope between two points is equal to

we have the points

(-3,9) and (-1,r)

substitute

Remember that

substitute the value of m

Solve for r

Multiply by 2 both sides

Adds 9 both sides

Rewrite

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

step-by-step explanation:

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.