Elio makes candles that are 14\text{ cm}14 cm14, space, c, m tall. each candle burns 888 hours before going out. he is wondering how many hours a 21\text{ cm}21 cm21, space, c, m tall candle can burn for. he assumes that the relationship between the height of a candle and number of hours it burns (h)(h)left parenthesis, h, right parenthesis is proportional. how long a 21 \text{ cm}21 cm21, space, c, m tall candle can burn for?

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

< 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)

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true