Use the number line to add the fraction. a number line ranging from negative 1 and 3 tenths to positive 9 tenths drag and drop the answer into the box to match the sum. −25+12

1/10

Step-by-step explanation:

1

Find the Least Common Denominator (LCD) of 25,12\frac{2}{5}, \frac{1}{2}52,21.

Method 1: By Listing Multiples

List out all multiples of each denominator, and find the first common one.

Multiples of 5

: 5, 10, ...

Multiples of 2

: 2, 4, 6, 8, 10, ...

Therefore, the LCD is 101010.

Method 2: By Prime Factors

Since 5,25,25,2 are prime numbers themselves, we simply multiply them to get the LCD.

Therefore, the LCD is 5×2=105\times 2=105×2=10.

LCD = 101010

2

Make the denominators the same as the LCD.

−2×25×2+1×52×5-\frac{2\times 2}{5\times 2}+\frac{1\times 5}{2\times 5}−5×22×2+2×51×5

3

Simplify. Denominators are now the same.

−410+510-\frac{4}{10}+\frac{5}{10}−104+105

4

Join the denominators.

−4+510\frac{-4+5}{10}10−4+5

5

Simplify.

110\frac{1}{10}101

The first angle would be 58°, the second angle would be 29°, and the third angle would be 93°.

We can find this by first writing the angles as expressions in terms of x, where x is the value of the second angle. This means that:

The first angle = 2x, as it is twice the second angle
The second angle = x
The third angle = x + 64, as it is 64° more than the second angle.

Now we can add these expressions together and set them equal to 180°:

2x + x + x + 64 = 180
4x + 64 = 180
4x = 116
x = 29

Now that we know that x = 29, we can substitute it in to our other expressions so that 2x = 2 × 29 = 58°, and x + 64 = 29 + 64 = 93°.

I hope this helps!