- The expression was rewritten using the commutative law of addition.
- Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots.
- Line 2 says 4 + 3, which could be represented using dots as •••• + ••• for a total of 7 dots.
<h3>What is the
commutative law of addition?</h3>
The commutative law of addition is also referred to as the law of cumulative addition and it states that if two numbers are added together, then, the outcome is equal to the addition of their interchanged position because addition is considered as a binary operation.
This ultimately implies that, the sum of addends would always be the same (equal) regardless of their arrangement in accordance with the commutative law of addition. Mathematically, the commutative law of addition can be represented using the following formula:
A + B = B + A.
In this context, we can reasonably infer and logically deduce that the given expression was rewritten using the commutative law of addition.
In conclusion, Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots. Line 2 says 4 + 3, which could be represented using dots as •••• + ••• for a total of 7 dots.
Read more on commutative law of addition here: brainly.com/question/778086
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Answer:
9.54
Step-by-step explanation:
Answer:
C. 18 cm
Step-by-step explanation:
The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio
3 : 4 : 5 = 9 : 12 : 15
Half of XY is 9 cm, so the length of the entire chord is 18 cm.
_____
The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).
The unknown side (a) can be found from ...
15² = 12² +a²
225 -144 = a² . . . . . . subtract 12²
81 = a² . . . . . . . . . . . simplify
9 = a . . . . . . . . . . . . . take the square root
The chord length is 2a, so is ...
2(9 cm) = 18 cm . . . . length of chord XY
Answer:
x = 30.
Step-by-step explanation:
For the triangles to be similar corresponding sides must be in the same ratio.
So 50/ 75 = x / 45
75x = 50*45
x = 50* 45/75
= 2 * 45 / 3
= 30. (answer).
