Jose is making a model of an airplane that measures 34 feet tall and 108 feet long. If he uses a scale of 1:16, what will be the height and length of his airplane? Round answers to the nearest hundredth if necessary.
The model will measure
feet tall and
feet long

2 Height ft and 6.75 length ft

Step-by-step explanation:

You just decrease it to 1:16

so, 34:108 is 2:6.75 to be about the same size as 1:16

< 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)