N x 100 = n%
An example:
<span>12 is 20% of 60. In order to get 12 percent of 60, all you need to do is to divide 12 with 60. To get the percent means to get the parts of 100. To get it in the form of percent, just multiply the quotient by 100. 12/60=.2 x 100 = 20% .</span>
<u>Given</u>:
The 11th term in a geometric sequence is 48.
The 12th term in the sequence is 192.
The common ratio is 4.
We need to determine the 10th term of the sequence.
<u>General term:</u>
The general term of the geometric sequence is given by

where a is the first term and r is the common ratio.
The 11th term is given is

------- (1)
The 12th term is given by
------- (2)
<u>Value of a:</u>
The value of a can be determined by solving any one of the two equations.
Hence, let us solve the equation (1) to determine the value of a.
Thus, we have;

Dividing both sides by 1048576, we get;

Thus, the value of a is 
<u>Value of the 10th term:</u>
The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term
, we get;





Thus, the 10th term of the sequence is 12.
Answer:
1. yes
2, no
3. yes
4. yes
Step-by-step explanation:
1. yes
If both sets of opposite sides are congruent, the quadrilateral is a parallelogram.
2. no
We know two side lengths. We know nothing about the other 2 sides and also nothing about all 4 angles.
3. yes
The missing angle must be 102°. With both pairs of opposite angles congruent, it must be a parallelogram.
4. yes
With both pairs of opposite angles congruent, it must be a parallelogram.
Question: Given that BE bisects ∠CEA, which statements must be true? Select THREE options.
(See attachment below for the figure)
m∠CEA = 90°
m∠CEF = m∠CEA + m∠BEF
m∠CEB = 2(m∠CEA)
∠CEF is a straight angle.
∠AEF is a right angle.
Answer:
m∠CEA = 90°
∠CEF is a straight angle.
∠AEF is a right angle
Step-by-step explanation:
Line AE is perpendicular to line CF, which is a straight line. This creates two right angles, <CEA and <AEF.
Angle on a straight line = 180°. Therefore, m<CEA + m<AEF = m<CEF. Each right angle measures 90°.
Thus, the three statements that must be TRUE are:
m∠CEA = 90°
∠CEF is a straight angle.
∠AEF is a right angle