I really need these questions answered
please can somebody help me :(

x =

number of sides of each polygon = 10

Step-by-step explanation:

The first thing you need to know while solving these problems are the following formulas:

Sum of interior angles of a polygon, S =

where n = number of sides

and for a regular polygon, each angle =

For example, a triangle has 3 sides and the sum of it's interior angles = and each angle of an equilateral triangle =

Now, for a regular hexagon (first problem), each interior angle =

which is also the larger angle of the rhombus.

Therefore, the smaller angle of the rhombus =

From which we get the value of x =

Congruent polygons have the same number sides and the corresponding sides and interior angles will be equal.

In the figure (second problem), we are given two congruent regular polygons which means that both polygons will have equal interior angles.

Now, we know that the total angle about a point =

Let the interior angles of the polygons be denoted by .

Therefore,

or,

From the first two formulas, we can say that,

or,

or,

correct answer is infinitely many solutions

step-by-step explanation:

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

solving the above equation:

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

combining like terms

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

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: