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KatRina [158]
3 years ago
7

James drew a scaled version of Triangle J using a scale factor of 4 and labeled it Triangle K. The base of triangle J is 5 units

and the height of triangle J is 4. What is the area of triangle K?
Mathematics
2 answers:
Andreas93 [3]3 years ago
8 0

Answer:

The area of triangle K is 16 times greater than the area of triangle J

Step-by-step explanation: so...... If Triangle K is a scaled version of Triangle J

then

Triangle K and Triangle J are similar

erica [24]3 years ago
7 0

Answer:

160

Step-by-step explanation:

If the scale factor is 4, we would have to multiply the height and width by 4

4*5=20

4*4=16

Now to find the area of the triangle using the formula (20*16)/2

That equals to 160

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Let us say that:

x = cost of shorts

y = cost of slacks

z = cost of sports coat

 

From the given statements, we can create the following equations:

eqtn 1: 3 x + y = 10.96

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eqtn 3:  4 x + z = 14.45

 

Rewrite eqtn 1 explicit to y:

y = 10.96 – 3 x                    --> eqtn 4

 

Rewrite eqtn 3 explicit to z:

z = 14.45 – 4x                     --> eqtn 5

 

Plug in the values of y (eqtn 4) and z (eqtn 5) to eqtn 2:

7 x + 2 (10.96 – 3 x) + 14.45 – 4 x = 30.40

7 x + 21.92 – 6 x + 14.45 – 4 x = 30.40

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- 3 x = - 5.97

x = 1.99

 

Eqtn 4:

y = 10.96 – 3 x   

y = 10.96 – 3 (1.99)

y = 4.99

 

Eqtn 5:

z = 14.45 – 4x

z = 14.45 – 4 (1.99)

z = 6.49

 

 

Therefore each shirt cost $1.99, each slacks cost $4.99, and each sports coat cost $6.49.

<span> </span>

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Step-by-step explanation:

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See the attachment for detailed answer
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