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wariber [46]
3 years ago
8

Given ADEF: ARST, find the scale factor

Mathematics
2 answers:
Deffense [45]3 years ago
4 0

Answer:

the scale factor is 3/4

x = 16×3/4 = 12

Step-by-step explanation:

the only side length we have for both triangles is the short left side.

we see that we get ED from SR and need to transform 4 into 3. how do we do that ?

well,

4×f = 3

f = 3/4

that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).

therefore,

x = EF = ST×f = 16×3/4 = 4×3 = 12

andriy [413]3 years ago
4 0

Answer:

The scale factor is 4/3 and x is 12

Step-by-step explanation:

→ Divide RS by DE

4 ÷ 3 = 4/3

→ Divide the answer by 16

16 ÷ 4/3 = 12

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7 0
3 years ago
I REALLY NEED HELP T-T
Trava [24]

Answer:

option A : 7x - 1

Step-by-step explanation:

Area of the shaded region = [ Area of bigger rectangle] - [Area of smaller rectangle ]

Therefore, Area of bigger rectangle = length * breadth = (x - 1)(x + 5)

Therefore, Area of smaller rectangle = length * breadth = (x + 1)(x - 4)

Area of shaded region = [(x - 1)(x + 5)] - [(x + 1) ( x - 4)

= [x(x + 5) - 1(x + 5)] - [x(x - 4) + 1( x - 4)]

= [ x^2 + 5x - 1x -5] - [ x^2 - 4x + 1x - 4]

= x^2 + 5x - 1x - 5 - x^2 + 4x - 1x + 4 ....(after removing the brackets)

= <u>x^</u><u>2</u><u> </u><u>-</u><u> </u><u>x^</u><u>2</u> + 5x + 4x - 1x - 1x - <u>5</u><u> </u><u>+</u><u> </u><u>4</u>.....( as (+ x^2 )and (- x^2 )get eliminated due to opposite signs)

= 9x - 2x - 1

= 7x - 1

So, option A: 7x - 1 is the correct answer.

5 0
3 years ago
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