Find the measures of ∠n and ∠p. !

choice A) both angles (N and P) are 25 degrees

MN and MP are the same length as shown by the tickmarks (they are congruent segments). So angle N and angle P are the same measure

Angle N is 4b-19 while angle P is 2b+3. Set the two expressions equal to each other and solve for b

4b - 19 = 2b + 3

4b - 2b = 3+19

2b = 22

b = 22/2

b = 11

If b = 11, then,

angle N = 4*b - 19 = 4*11 - 19 = 44 - 19 = 25 degrees

angle P = 2*b + 3 = 2*11 + 3 = 22 + 3 = 25 degrees

As expected, angle N and angle P are the same measure

Note: this is an isosceles triangle because it has two sides that are the same length.

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

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