Answer:
x = 16
16 - 13 = 3
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Step-by-step explanation:
Step-by-step explanation:
<u>Statement Reason </u>
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given
-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
9x = 18 Addition property
x = 18/9 Division property
x = 2 Proved
Answer:8
Step-by-step explanation: 7x8=56
The transformed equation is:

Step-by-step explanation:
We have to convert the equation in the form

Given equation is:

Adding 8 on both sides

In the given equation
a = x
b= ?
So,

So 3^2 will be added on both sides

Hence,
The transformed equation is:

Keywords: Quadratic equation, transformation
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Answer:
3 ft, 5ft, 6ft
Step-by-step explanation:
To build a kennel of my dog, I would try to make it the largest possible with what I have.
So, I would go with the 3 longest planks: 3ft, 5ft and 6ft.
By looking at the length, I see I could make something very close to a right triangle since I could use the 6ft as an hypotenuse, and have the two other sides as 3ft and 5 ft (6² is almost 3²+5², which equal 34).
That means my corner angle would be slightly over 90 degrees.