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Cerrena [4.2K]
3 years ago
8

Find the value of x

Mathematics
2 answers:
Tasya [4]3 years ago
8 0

because its isosceles so 9+9=x²

and x equal

2√3

Mandarinka [93]3 years ago
6 0

Answer:

(3/2)√2

Step-by-step explanation:

Here the ratio of x to 3 is the sine of the 45 degree angle.

Thus:

 x       √2

----- = -------

 3         2

Cross multiplying, we get 2x = 3√2, so that x must be (3/2)√2

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The Natchez Trace Bridge in Franklin, Tennessee, is 1,500 feet long. Suppose you build a model of the bridge using a scale of 1
noname [10]
Set this up as a ratio putting inches on top and feet on bottom. Then your first ratio would be 1/25 since 1 inch is the same as 25 feet.  In between them goes an equals sign and the the other ratio has an x on top (because inches is what we are looking for) and the 1500 on the bottom. Cross multiply to solve for x:
1(1500) = x(25).  Divide both sides by 25 to get 60
5 0
3 years ago
What is the area of this quadrilateral?
Sever21 [200]
24 square feet is the answer
7 0
3 years ago
What is the equation of the translated function, g(x), if
Ivanshal [37]

Answer:

D.  g(x)  =  (x+ 4)² + 6

Step-by-step explanation:

Here, the given function is f(x)  = x²

Now,if a graph  x² is translated by (h,k) where:

h = Translation  done towards RIGHT

k = Translation  done towards UP

Then the translated equation is given as:

y =    (x-h)² + k    .... (1)

Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.

⇒  h =  - 4 and k = 6

Substituting the value of h, k in (1) , we get:

g(x) =  (x-(-4))² + 6  =  (x+ 4)² + 6  

⇒ g(x)  =  (x+ 4)² + 6

Hence,  the equation of the translated function, g(x) is g(x)  =  (x+ 4)² + 6.

3 0
2 years ago
The scale factor of the scale drawing of a mirror to the actual mirror is represented by the ratio 1 : 8 . If the dimensions of
Lubov Fominskaja [6]

Answer: 204 square inches

Step-by-step explanation: I’m not really sure, but if you follow through with the normal area identifying method; Length x Width, you should come up with 25.5. After doing this, you could multiply your product by 8 because your actual mirror size is 8 times greater. You will come up with 204 square inches, which would be your final solution. (Once again, I am not sure, just doing how I’ve been understanding from studies).

8 0
3 years ago
A polygon is translated 3 units to the right and 4 units down, then it’s reflected across the x-axis, and then it’s dilated by a
Marrrta [24]

Answer:

(x,y)\rightarrow (4x+12,-4y+16)

Step-by-step explanation:

<u>1 transformation</u> - translation 3 units to the right and 4 units down. This translation has the rule

(x,y)\rightarrow (x+3,y-4)

<u>2 transformation</u> - reflection across the x-axis. This reflection has the rule

(x,y)\rightarrow (x,-y)

<u>3 transformation</u> - dilation by a factor of 4 with the origin as the center of dilation. This dilation has the rule

(x,y)\rightarrow (4x,4y)

Now, the sequence of these three transformation has the rule

(x,y)\rightarrow\limits^{\text{1st transformation}} (x+3,y-4)\rightarrow\limits^{\text{2nd transformation}}(x+3,-(y-4))\rightarrow\limits^{\text{3rd transformation}} (4(x+3),4(-(y-4)))\\ \\(x,y)\rightarrow (4x+12,-4y+16)

8 0
3 years ago
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