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Anni [7]
3 years ago
5

Find the value of x in 4:x::x:16

Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0

Given:

4:x::x:16

To find:

The value of x.

Solution:

We have,

4:x::x:16

It means, we have

4:x = x:16

It can be rewritten as

\dfrac{4}{x}=\dfrac{x}{16}

On cross multiplication, we get

4\times 16=x\times x

64=x^2

Taking square root on both sides.

\pm \sqrt{64}=x

\pm 8=x

Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.

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Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
KengaRu [80]

Answer:

X=6 and Y=3

Step-by-step explanation:

Use SOHCAHTOA, SOH, Sin=Opposite/Hypotenuse, Therefore Sin60°=(3√3)/x ; Xsin60°=3√3 and Sin60° without using 4figuretable or calculator is √3/2, Now x=3√3 ÷√3/2 ;. therefore X=3√3×2/√3= 6. X=6 . Using Pythagoras theorem, 6²={(3√3)² +y²}. Y²= 36-27=9. Y=√9, Y=3. Therefore X=6 and Y=3.

7 0
3 years ago
Determine the slope of the line that passes through the points (8, 0) and (-3, 9)
Leona [35]

Answer:

-9/11

Step-by-step explanation:

The slope of the line is given by

m = (y2-y1)/(x2-x1)

   = (9-0)/(-3-8)

  = 9/-11

  = -9/11

6 0
3 years ago
Read 2 more answers
Plz help asap!!! Will give brainlest!!!
8090 [49]

Answer:

$4

Step-by-step explanation:

Total expenditure is $55

Breakdown

2 books cost $10

4 books cost $25

Subtotal for 6 books is 10+25=$35

Remaining amount from total is 55-35=$20

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5 0
3 years ago
Select the correct answer.<br> Which sum or difference is modeled by the algebra tiles?
7nadin3 [17]

Answer:

c is the answer

Step-by-step explanation:

when you put the negative into the second equation it makes it match up with the algebra tiles answer

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3 years ago
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In a triangle the first angle is greater than the second angle by 18 degree and less than the third angle by 10 grade. Express a
serg [7]

Answer:

The 3 angles are 62 2/3, 44 2/.3 and 72 2/3 degrees.

Step-by-step explanation:

let x be the first angle then the  the second angle is  x - 18 and the third angle = x + 10

The 3 angles add up to 180 so:

x + x - 18 + x + 10 = 180

3x = 180 + 18 - 10 = 188

x = 188/3 = 62 2/3 degrees.

x - 18 = 44 2/3

x + 10 = 72 2/3.

8 0
3 years ago
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