The triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
The given coordinates are X(6,1) Y(-2,-3) Z(0,3).
<h3>What are coordinates?</h3>
A coordinate system is a system in geometry that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold, such as Euclidean space, in a unique way.
We know that, Distance formula 
Now, 
units
units
units
Here, 
Hence, the triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
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This is the answer
X=12
Y=4
Answer:
The maximum number of hours can be spend on work is 4 hours
Step-by-step explanation:
Given as :
The fixed charge of an auto shop = $100
The labor charge of auto shop = $175 per hour
The maximum money to be spend = $800
Let The maximum number of hours can be spend on work = n hours
<u>According to question</u>
The maximum money to be spend = fixed charge of an auto shop + labor charge of auto shop per hour × maximum number of hours
Or, $800 = $100 + $175 × n
Or, $175 × n = $800 - $100
Or, $175 × n = $700
∴ n = 
i.e n = 4
So, The maximum number of hours can be spend on work = n = 4 hours
Hence, maximum number of hours can be spend on work is 4 hours Answer
<h3>
Answers:</h3>
14. Each leg is 
units long.
15 (a). The longer leg is 
units long
15 (b). The hypotenuse is 
units long
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Explanations:
For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say
where x is the leg and y is the hypotenuse
Let's solve for x
Now plug in the given hypotenuse y = 42, this leads to,
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For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.
The longer leg is equal to sqrt(3) times the short leg. The longer leg is
