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Mademuasel [1]
2 years ago
14

Can somebody help me please

Mathematics
1 answer:
Andrei [34K]2 years ago
5 0

Answer:

I believe it’s 65

Step-by-step explanation:

Not fully sure

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The Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

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| 10. Triangle ABC ~Triangle DEF with AB = 8, BC = 12,
Leno4ka [110]

Answer:

Perimeter of triangle DEF = 54 units

Step-by-step explanation:

Given:

Δ ABC is similar to Δ DEF

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\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}

Now, consider the first two ratios.

\frac{AB}{DE}=\frac{BC}{EF}

Plug in 8 for AB, 12 for BC, 12 for DE and solve for EF. This gives,

\frac{8}{12}=\frac{12}{EF}\\8\times EF=12\times 12\\8\times EF=144\\EF=\frac{144}{8}=18

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Plug in 8 for AB, 16 for AC, 12 for DE and solve for DF. This gives,

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Therefore, the lengths of sides of triangle DEF are:

DE = 12, EF = 18 and DF = 24

Now, perimeter is the sum of all the sides of the triangle. Therefore,

Perimeter=DE +EF+DF\\Perimeter=12+18+24=54

Therefore, the perimeter of the triangle DEF is 54 units.

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