(25 points!!!!!) solve for <2

Mathematics

1 answer:

stiv31 [10]2 years ago

8 0

Step-by-step explanation:

135 = <2 + 86 [exterior angle of triangle is equal to the sum of its oppsite two interior angles]

or, <2 = 135 - 86

so, <2 = 49°

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Drag each expression to a box to show whether it is a correct way to check the answer to this equation:

zheka24 [161]

Answer:

620 x 7 + 6 is correct all the other ones are incorrect

Step-by-step explanation:

8 0

3 years ago

Darren bought some paint. He used 2 1/4 gallons painting his living room. After that, he had 3 5/6 gallons left. How much paint

Otrada [13]

Answer: $6\frac{1}{12}\ gallons$

Step-by-step explanation:

We can make the conversion from mixed numbers to improper fractions:

Multiply the whole number part by the denominator of the fraction.
Add the numerator of the fraction and the product obtained (This sum will be the new numerator).
The denominator is the same.

Then:

$2\frac{1}{4}=\frac{(2*4)+1}{4}=\frac{9}{4}\\\\3\frac{5}{6}=\frac{(6*3)+5}{6}=\frac{23}{6}$

We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):

$4=2*2=2^2\\\\6=2*3\\\\\\LCD=2^2*3=12$

Then:

$\frac{9}{4}+\frac{23}{6}=\frac{27+46}{12}=\frac{73}{12}\ gallons$

To convert this improper fraction to a mixed number:

When you divide 73 by 12 you get a quotient of 6. This will be the whole number.
The remainder obtained is 1. This will be the numerator of the fraction.
The denominator does not change.

Then:

$\frac{73}{12}\ gallons=6\frac{1}{12}\ gallons$