Answer:
<u>x = 60°</u>
Step-by-step explanation:
The rest of the question is the attached figure.
And it is required to find the angle x.
As shown, a rhombus inside a regular hexagon.
The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°
So, the measure of one angle of the regular hexagon = 720/6 = 120°
The rhombus have 2 obtuse angles and 2 acute angles.
one of the obtuse angles of the rhombus is the same angle of the regular hexagon.
So, the measure of each acute angle of the rhombus = 180 - 120 = 60°
So, the measure of each acute angle of the rhombus + the measure of angle x = the measure of one angle of the regular hexagon.
So,
60 + x = 120
x = 120 - 60 = 60°
<u>So, the measure of the angle x = 60°</u>
Just borrow from the 7 and take the 1 to the 2 and that will make it as 12 so then you subtract 12 - 4 and the answer will be 1,180
Answer:
the probability having no customers are in the system is 0.375
Step-by-step explanation:
The computation of the probability having no customers are in the system is as follows;
Given that the arrival rate is 1.25 customers per minute
The Service rate is 2 customers per minute
Based on the above information, the probability is

Hence, the probability having no customers are in the system is 0.375
<em>x = 25</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
- <em><u>
the opposite angles are equal</u></em>
<em><u>4x - 25 = 25 + 2x</u></em>
<em><u>4x - 2x = 25 + 25</u></em>
<em><u>2x = 50</u></em>
<em><u>x = 50 : 2</u></em>
<em><u>x = 25</u></em>
<em><u>Good luck ! </u></em>
Answer:
x=10
Step-by-step explanation:
43 and (4x+3) are vertical angles, which mean they are equal
so, 43=(4x+3)
43-3=(4x+3-3)
40=(4x)
40/4=4x/4
10=x