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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

You might be interested in
Is x-5 a factor of p(x)=x^3-6x^2-x+30
Arada [10]

Answer:

yes

Step-by-step explanation:

Dividing :  x3-6x2-x+30

                             ("Dividend")

By         :    x-5    ("Divisor")

dividend     x3  -  6x2  -  x  +  30

- divisor  * x2     x3  -  5x2        

remainder      -  x2  -  x  +  30

- divisor  * -x1      -  x2  +  5x    

remainder          -  6x  +  30

- divisor  * -6x0          -  6x  +  30

remainder                0

Quotient :  x2-x-6  Remainder:  0

3 0
3 years ago
Katniss divided x^3+2x^2-3x-4 by x+1. she didnt get a remainder. do you agree with her?
Brilliant_brown [7]

ANSWER

Katnis is right

EXPLANATION

We use the Remainder Theorem to check if she is right.

According to the Remainder Theorem, if the polynomial function,

p(x) =  {x}^{3}  + 2 {x}^{2}  - 3x - 4

is divided by x+1, then the remainder is given by

p( - 1)

We substitute x=-1 into the function to obtain,

p( - 1) =  {( - 1)}^{3}  + 2 { ( - 1)}^{2}  - 3( - 1) - 4

We simplify to get:

p( - 1) =  -  1+ 2 (1)   + 3 - 4

p( - 1) = 4- 4

p( - 1) = 0

Katnis is right because the remainder is zero

3 0
4 years ago
The following temperatures were recorded in Pasadena for a week in April: 87, 85, 80, 78, 83, 86, 90. Determine the interquartil
Lubov Fominskaja [6]

Answer:

7

Step-by-step explanation:

87 - 80 = 7

7 0
3 years ago
1-4y^2 in factored form
Anastasy [175]

Answer:

(1 -2y)(1 +2y)

Step-by-step explanation:

The difference of squares is factored as ...

... a² - b² = (a -b)(a +b) . . . . . . . . a form you should keep handy

Here, you have a=1, b=2y, so your factored form is ...

... 1 -4y² = (1 -2y)(1 +2y)

8 0
3 years ago
Solve the equation (0°≤A≤360°)<br>a) √3sinA-cosA=√2​
Blizzard [7]

Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

6 0
3 years ago
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