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3 years ago

Need Help With this question

Mathematics

1 answer:

Sidana [21]3 years ago

4 0

Answer:

Area of ΔDEF = 12 in²

Step-by-step explanation:

Since they are similar, we have to find the scale factor

Scale Factor = $\frac{Side OfDilated Triangle}{Side of Original Triangle}$

Scale Factor = 4/2

Scale Factor = 2

<u><em>This means The area of ΔABC is 2 times the area of ΔDEF</em></u>

So,

ΔABC = 2(ΔDEF)

Where Area of ΔABC = 24 in²

24 = 2(ΔDEF)

Dividing both sides by 2

=> Area of ΔDEF = 12 in²

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3 years ago

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Answer:

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b) { (a,a)(b,b)(c,c)(c,d)(d,c)(d,d)(e,e)(e,f)(f,e)(f,f)(g,g)

c) {(a,a)(a,b)(b,b)(b,a)(a,c)(c,a)(b,c)(c,b)(c,c)(d,a)(a,d)(b,d)(d,b)(d,c)(c,d)(d,d)(c,c)(c,f)(f,c)(f,f)(c,g)(g,c)(f,g)(g,f)(g,g)

Step-by-step explanation:

a) {a,b} , {c,d} , {e,f,g}

{a , b } = {(a,a) (b,b) (a,b) (b,a)}

{c , d } = {(c,c) (d,d) (c,d) (d , c) }

{e,f,g} = {(e,e) (e,f) (f,e) (e,g) (f,f) (f,g) ( g,e) (g,f) (g,g)}

b) {a} ,{b},{c,d} ,{e,f},{g}

{ (a,a)(b,b)(c,c)(c,d)(d,c)(d,d)(e,e)(e,f)(f,e)(f,f)(g,g)}

c) {a,b,c,d},{e,f,g}

{(a,a)(a,b)(b,b)(b,a)(a,c)(c,a)(b,c)(c,b)(c,c)(d,a)(a,d)(b,d)(d,b)(d,c)(c,d)(d,d)(c,c)(c,f)(f,c)(f,f)(c,g)(g,c)(f,g)(g,f)(g,g)

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3 years ago

What is the answer for | 3x - 2 | = 8 and | x + 1 | = 1

Umnica [9.8K]

X = -2

3 x -2 = -6
-6 -2= -8
|-8| = 8

-2 + 1= -1
|-1|=1

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3 years ago