Ellie drew ΔLMN, in which m∠LMN = 90°. She then drew ΔPQR, which was a dilation of ΔLMN by a scale factor of one half from the center of dilation at point M. Which of these can be used to prove ΔLMN ~ ΔPQR by the AA similarity postulate

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.

step-by-step explanation: the answer for wha if rt is 10 centimeters long, and wha is st? it’s 6

amount of apples bought =$ 2.6

amount of peaches bought =$ 1.475

amount given by you to cashier= $ 20

amount received by me= amount given by you to cashier -   [amount of apples bought +amount of peaches bought]

                                        = 20   - [1.475 + 2.6]

                                        = 20 -   [ 4.075]

                                        =   $15.925

so, change received by me = $15.925