Figure a is a scale image of figure b the scale that maps figure a onto figure b is 1:7 1/4 enter the value of x

Both figures are triangles
Figure a is smaller than figure b
Figure a to the right has a 3
Figure b to the right has a x

Respuesta :

Answer: [tex]x=21.75[/tex]

Step-by-step explanation:

You need to convert from mixed number to decimal number. To do this you can follow the steps shown below:

Step 1: You must divide the numerator of the fraction by the denominator of the fraction.

Step 2: Now you must add the quotient obtained to the Whole number part.

So, you get:

[tex]7\frac{1}{4}=7+0.25=7.25[/tex]

Then, the scale image that maps "Figure a" onto "Figure b" is:

[tex]1:7.25[/tex]

Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure a" by [tex]7.25[/tex].

Therefore, you get that the result is:

[tex]x=(3)(7.25)\\\\x=21.75[/tex]

The correct answer is A) 21.75 .

Hope this helps!