To solve this, we need to know what vertical angles and what supplementary angles are. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. And, by the Vertical Angles Theorem, we know that they have the same measure. Now onto supplementary angles. Supplementary angles are angles that add up to 180 degrees.
Let's say that one of the vertical angles is equal to x. That means that the other one is also equal to x, and their sum is 2x. Since we are trying to find out a situation where vertical angles are supplementary, or equal to 180 degrees, that means that 2x is equal to 180 degrees. This is satisfied only when x = 90 degrees, meaning that vertical angles are supplementary when they are right angles.
If the number of dogs seen by the veterinarian is 40 then the number of cats seen by him will be equal to 16.
The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.
As per the data given in the question,
The ratio of cats to dogs seen by veterinarian = 2:5
Number of dogs seen by veterinarian = 40
Let the number of cats seen by him be x.
Then, the ratios will be,
C : D
2 : 5
x : 40
Use cross-multiplication to find the number of cats,
5x = 2 × 40
x = (2 × 40)/5
x = 2 × 8
x = 16
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Answer:
84 cm²
Step-by-step explanation:
A = h x l = 6cm x 14cm = 84 cm²