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Genrish500 [490]
3 years ago
6

Susan is buying three different colors of tiles for her kitchen floor. She is buying 25 more red tiles than beige tiles, and thr

ee times as many navy-blue tiles as beige tiles. If Susan buys 435 tiles altogether, how many tiles of each color does she buy?
Mathematics
1 answer:
nika2105 [10]3 years ago
4 0
She needs 82 beige tiles, 107 red tiles, and 246 navy blue tiles
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<u>Answer</u><u>:</u>

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Answer:

x = 20

Step-by-step explanation:

If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

\rm \longrightarrow \angle 2 =  \angle 5 \\  \\  \rm \longrightarrow 3x - 20 = x + 20 \\ \\ \rm Add \ 20 \ both \ sides:  \\  \rm \longrightarrow 3x - 20 + 20 = x + 20 + 20 \\  \\  \rm \longrightarrow 3x = x + 40 \\ \\ \rm Substrate \ x \ from \ both \ sides:  \\  \rm \longrightarrow 3x - x = x - x + 40 \\  \\  \rm \longrightarrow 2x = 40 \\ \\ \rm Divide \ both \ sides \ by \ 2: \\  \rm \longrightarrow  \frac{ \cancel{2}x }{ \cancel{2}}  =  \dfrac{40}{2}  \\  \\  \rm \longrightarrow x = 20

3 0
3 years ago
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