Tommy was going to buy a new lawn mower from Lawn Depot for $169, minus a 10% discount. He saw the same mower on sale at Mowers-R-Us. Their mower originally cost $210 and was on sale for ⅓ off. Determine the sale price of the mover at each store. Identify which store would be the most economical place to purchase the mover. Show your work.

Sale price of first Mover = $ 152.1.

Sale price of second mover = $ 70

Mowers - R - Us store is economical place.

Step-by-step explanation:

Cost of first Mover = $ 169 and discount is 10%

Cost of second Mover = $ 210 and the sale is 1/3.

So, the effective cost of first Mover = $ 169 - 10 % of $ 169 = $ 169 - $ 16.9

= $152.1

So the effective cost of second Mover = 1/3 of $ 210 = $ 70

So, the second store is the economical place.  

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.