The units digit of a two-digit number is four more than the tens digit. If the number is doubled, it will be 1 more than the reversed number. Find the number.

The number is 37

Step-by-step explanation:

The given parameters are;

The unit digit of a two-digit number = 4 + The tens digit

2 × The two-digit number  = 1  + The reversed number

Let x represent the unit digit and y represent the tens digit, we have;

x = 4 + y

2 × yx = xy + 1

Which gives;

2 × yy+4 = 2y2y+8

xy + 1 = 4 + yy + 1

y + 1 = 2y + 8 - 10 (we assume that the product of 2 and the unit digit is more than 10 so we subtract 10 from the product to equate the unit digits of the two numbers

10 + 1 - 8 = 2y - y

10 - 7 = y

y = 3

x = y + 4 = 3 + 4 = 7

x = 7

Therefore, the number = 37.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.