In \triangle VWX,△VWX, \overline{XV}\cong \overline{WX} XV
≅
WX
and \text{m}\angle W = 27^{\circ}.m∠W=27
∘
. Find \text{m}\angle X. m∠X.

m<X = 27 degrees

Step-by-step explanation:

From △VWX, since WX = XV, this mean that the triangle is isosceles

The base angle of an isosceles triangle are equal hence <W = <X

Since <W = 27 degrees, hence m<X = 27 degrees

x = 12

y = 15

step-by-step explanation:

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