Atravel guide has dimensions 8in. by 10in. what scale factor should be used to make an enlarged version that has dimensions 12in. by 15in. ?

Scale factor=1.5

Step-by-step explanation:

We are given that

A travel guide has dimensions 8 in by 10 in.

We have to find the scale factor should be used to make an enlarged version that that dimension 12 in by 15 in.

We know that

The initial figure and the figure obtained after dilation are similar in shape but their size different.

Scale factor=Ratio of side of final figure to the side of initial figure.

Scale factor=

Scale factor=

Hence,scale factor should be used 1.5 to make an enlarged version that has dimensions 12 in by 15 in.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116