Raymond is installing a new kitchen counter top . The counter top is a rectangular piece of quartz that is 5.75 feet long and 2.47 feet wide .Round the length and width to the nearest whole number . Then estimate the perimeter of the countertop

Length of 6 feet

Width of 2 feet

The estimate of the perimeter of the countertop is 16 feet.

Step-by-step explanation:

Rectangle:

A rectangle has two dimensions: The length(l) and the width(w). The perimeter of a rectange is:

P = 2(l + w).

In this question:

Length: 5.75 feet

Width: 2.47 feet.

Round the length and width to the nearest whole number .

5.75 is closer to 6(0.25) than to 5(0.75). So the length is 6 feet.

2.47 is closer to 2(0.47) than to 3(0.53). So the width is 2 feet.

Then estimate the perimeter of the countertop

P = 2(l + w) = 2(6 + 2) = 16

The estimate of the perimeter of the countertop is 16 feet.

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)