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Iteru [2.4K]
3 years ago
13

*WILL MARK BRAINLIEST* The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational deno

minator.

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer: 5sqrt2, 10sqrt2/2

Step-by-step explanation:

The isosceles triangle, or 45-45-90 rule states that the hypotenuse is x × square root of 2.

Divide the hypotenuse, 10, by sqrt 2 to get 5sqrt2

However , if you're looking to keep it in fraction form, you will need to rationalize the denominator. Multiply the numerator and denominator to get the fraction, 10sqrt2/2

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taurus [48]

Answer: C

Step-by-step explanation:

Okay first set a comparison since the two triangles are similar

x-1/20=x-1+27/3x+8

x-1/20 = x+26/3x+8

cross multiply

20x+520=3x^2+8x-3x-8

3x^2-15x-528=0

3(x^2-5x-176)=0

im kinda lazy to factor this out so i used an online calculator right here but factor it out like a good kid

x=16, x=-11

it has to be positive so x=16

C

6 0
2 years ago
59.9338a+58.9332(0.031720577-a)=1.8712 solve for a
dimaraw [331]

Answer:

what is this asking???

8 0
3 years ago
A fan is marked up 40% on the original price. The original price was $20. What is the new price of the fan before sales tax?
Andre45 [30]

Answer:

  $28

Step-by-step explanation:

The markup was 0.40×$20 = $8, so the new price is ...

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7 0
3 years ago
Solve |y + 2| > 6 i dont understand this, please help
Lisa [10]

y < - 8  or y > 4

inequalities of the form | x | > a always have solutions of the form

x < - a or x > a

we have to solve

y + 2 < - 6 or y + 2 > 6

y + 2 < - 6 ( subtract 2 from both sides )

y < - 8

or

y + 2 > 6 ( subtract 2 from both sides )

y > 4

these can be combined using interval notation

y ∈ (- ∞, - 8 ) ∪ (4, ∞ )

As a check

substitute chosen values of x from each interval

y = - 10 :  | - 10 + 2 | = | - 8 | = 8 > 6 this is true

y = 12 : | 12 + 2 | = | 14 | = 14 > 6 which is also true



7 0
3 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Molodets [167]
Add the following polynomials:
All polynomials are already ordered according to their degree (exponent), and therefore you can just add straight down in columns.
For x3: 2 + 1 - 3 = 0
For x2: -4 + 6 + 2 = 4 
For x: 6 - 8 -4 = -6
Constants: -3 + 12 - 7 = 2

The answer is:
4x^2 - 6x + 2
6 0
3 years ago
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