In the right triangle what is the value of pq

The exercise is solved by applying the Pythagorean Theorem, which is:

 h²= a² + b² 

 h: It is the hypotenuse of the right triangle (the opposite side of the right angle and the longest side of the triangle).

 a and b: They are the legs of the right triangle (the sides that form the right angle).

 You want to find the value of PQ, which is a leg. Then, you have:

 h²= a²+b²

 a²=h²-b²

 a=√(h²-b²)

 Let's substitute the values of the hypotenuse (h) and the other leg (b) of the triangle, into the formula a=√(h²-b²):

 a=√(h²-b²)

 a=√(17²-12²)

 a=12 cm

 What is the value of PQ?

 The answer is: 12 cm

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

step-by-step explanation:

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