1.5.652 rounded to the nearest tenth.

2. The two triangles below are similar. Find the value of x.

triangle 1: base: 4
height: 10

triangle 2: base: x
height: 20

what would X be? my guess 8.

5.7

x/4 = 20/10
x = 8
you are correct. Too bad it was a guess, not the result of calculation.

To round a number to the nearest tenth, we need to look at the digit in the hundredth place. If the digit is 5 or greater, we round up. If the digit is less than 5, we round down.

In the case of 1.5.652, the digit in the hundredth place is 5, which is equal to or greater than 5. Therefore, we can round up.

To round up, we add 1 to the digit in the tenths place. Thus, 1.5.652 rounded to the nearest tenth would be 1.6.

Now let's solve the second problem:

Since the two triangles are similar, it means their corresponding sides are proportional. To find the value of x, we can set up a ratio between the bases of triangle 1 and triangle 2:

base of triangle 1 / base of triangle 2 = height of triangle 1 / height of triangle 2

Plugging in the given values, we get:

4 / x = 10 / 20

Simplifying the ratio:

4 / x = 1 / 2

To solve for x, we can cross-multiply:

2 * 4 = x * 1

8 = x

Thus, the value of x is 8. You guessed correctly!