Acarpenter who is installing cabinets uses thin pieces of material called shims to fill gaps. the carpenter uses four shims to fill a gap that is 1.2 centimeter wife. threee of the shims are 0.75 centimeter, 0.125 centimeter, and 0.09 centimeter wide. what is the width of the fourth shim pls show work.

.235

Step-by-step explanation:

Total Distance - Shim 1 - Shim 2 - Shim 3 = Shim4

1.2 cm - 0.75 cm - 0.125 - 0.09 cm = 0.235 cm

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation:

< 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)