Answer:
Distributive property says that:
Addition property of equality:
if x = y then x+z = y+z
Division property of equality:
if x = y then 
As per the statement:
Given the equation: 
Tyra solve this equation as shown below:
1.
[Distributive property]
2.
[Addition property of equality]
3.
{Division property of equality]
Therefore, the property Tyra used in line 1 was : Distributive Property.
Answer: 4
Explanation:
You can write an algebraic expression to represent the sequence with the books in this way:
- yesterday she got five books: 5
- today returned three books: - 3
- how many books did Gia have to begin: n
- At the end she has six books, which means that you can set an equality:
n + 5 - 3 = 6
Now you follow these steps to clear the unknown:
- do the operations in the left side: n + 2 = 6
- use subtraction property of equality: n = 6 - 2
- do the operations: n = 4
And that is the number of books whith which Gina started: 4
Answer:
The us based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year up from 126,000 last year.
This means the increased production is
144,000 - 126,000 = 18,000
The percentage change in production can
be found using the formula as listed below
PERCENTAGE INCREASE = change / initial × 100
Substitute the values we get
18,000/126,000 × 100
14.28 = percentage increase
Answer:
If x is the distance from centre fo the circle, with radius 25cm, to its intersection point with the common chord, x²+24²=25² =>x=7cm.
Distance from this intersecting point to the centre of the other circle=39–7=32cm
Ratio of the sides of the right triangle thus formed is 24:32=3:4. Since 3:4:5 is the basic pythagorean triplet, the radius of the other circle=5*24/3=40cm.
Aliter: radius of the other circle=√32²+24²= 40cm.
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