Figure A is a scale image of Figure B. What is the value of x?

Question

asked Oct 1, 2020 219k views

2 Answers

Zhuoying · Answer 1 · 2020-10-06T20:15:47+0000

Answer: The required value of x is 12 units.

Step-by-step explanation: Given that the figure A is a scale image of figure B.

We are to find the value of x.

Since figure A is the scale image of figure B, so both the figures are similar to each other.

Also, the corresponding sides of the similar figures are proportional, so we get

$(30)/(25)=(x)/(10)\\\\\\\Rightarrow(6)/(5)=(x)/(10)\\\\\\\Rightarrow x=5x=60\\\\\Rightarrow x=(60)/(5)\\\\\Rightarrow x=12.$

Thus, the required value of x is 12 units.