3) Angles 3 and 6 are congruent. Which lines are parallel? (pic below)
1 answer:
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Answer:
3 cm
Step-by-step explanation:
When we enlarge or shrink an object, we perform a dilation. A dilation preserves the relationship between sides and the exact angle measure. This means the original and the enlargement are proportional and any missing lengths can be found through a proportion.
A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare height over length of the original rectangle to an equal ratio of height to length of the enlargement. Since we do not know height of the enlargement, we will use a variable to write:
I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for h by dividing by 9.
The new height is 3 cm.
The equations which are sums of perfect cubes are as follows;
<h3>Perfect cubes;</h3>
Perfect cubes are the numbers that are the triple product of the same number.
We have to determine
Which are sums of perfect cubes?
1. The given equation is .
The equation can be written as;
All the terms in the expression are can be represented as perfect cubes.
2. The given equation is .
The equation can be written as;
In this, all the terms are not perfect cubes, some of them are squares.
3. The given equation is .
The equation can be written as;
All the terms in the expression are perfect cubes.
4. The given equation is .
The equation can be written as;
All the terms in the expression are perfect cubes.
5. The given equation is .
The equation can be written as;
In this, all the terms are not perfect cubes, some of them are squares too.
To know more about perfect cubes click the link given below.