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mina [271]
3 years ago
5

The two triangles below are similar. What is the ratio of the corresponding side lengths?

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0
Side AB = 4 cm
 Side A'B' = 2 cm

 The ratio would be 4:2

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(X-3) (2x-3)= (x-3) (x+1) solve for x
yanalaym [24]

(x  - 3)(2x - 3) = (x - 3)(x + 1)

Do the multiplication both sides,

2 {x}^{2}  - 9x + 9 =  {x}^{2}  - 2x - 3

Arrange the terms to LHS according to their variables,

2 {x}^{2}  -  {x}^{2}  - 9x  +  2x + 9 - 3 = 0 \\  {x}^{2}  - 7x  + 6 = 0


Factorise this polynomial

{x}^{2}  - 6x - 6x + 6 = 0 \\ x(x - 6) - (x - 6) = 0 \\ (x - 1)(x - 6) = 0


So what we notice here is when you're multiplying two numbers you're getting 0 as answer.

So one of them must be 0.

If (x-1) is 0
then x = 1

similarly,

x-6=0

then, x= 6.


So the possible values of x are 1 and 6.
7 0
3 years ago
Read 2 more answers
A cone with volume 2880 m³ is dilated by a scale factor of 1/4. What is the volume of the resulting cone?
labwork [276]
The volume of the cone is 2880 m3.
The scale factor is 1/4.
The volume of the cone has the formula (1/3)π r² h.
A scale factor of 1/4 will reduce the dimensions by 1/4 which will result to a total volume reduction of (1/4)³ = 1/64
The new volume will be 45 m3


5 0
3 years ago
Read 2 more answers
Reduce 12/20 to lowest term
skelet666 [1.2K]

Answer:

3/5

Step-by-step explanation:

12/20

(divide both by 2)

12/2= 6

20/2=10

6/10

(divide by both by 2)

6/2= 3

10/2= 5

3/5

7 0
3 years ago
Leena loves peanut butter. today, she ate four tablespoons of it. if there are 6 mg of vitamin e in four tablespoons of peanut b
velikii [3]
<span>First, we need to know that the current recommended daily allowance of Vitamin E is 15 milligrams. If Leena ate four tablespoons of peanut butter, thus receiving only 6 milligrams, then we can determine the percentage by first dividing 100 into 15 parts (which gives us 6.66), and then multiply that answer by 6 (6 x 6.66), which gives us precisely 40. Thus, the answer is 40 percent.</span>
5 0
3 years ago
A recipie calls for 2 2/4 cups of raisins, but julie only has a 1/4 cup measuring cup. How many 1/4 cups does julie need to meas
scZoUnD [109]

Answer:

10 cups

Step-by-step explanation:

1/4 cup times 4 is 1 cup

1/4 cup times 8 is 2 cups

now you have your two cups and you need two more 1/4 to make 2/4

3 0
3 years ago
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