Answer:
m∠HMO=102°
Step-by-step explanation:
we know that
In a Rhombus the diagonals bisect the angles and opposite angles are equal
In this problem
Angles HMO and HTO are opposite angles
m∠HMO=m∠HTO
m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent
substitute the values

solve for x

<em>Find the measure of angle HMO</em>
m∠HMO=(12x-6)°
substitute the value of x
m∠HMO=(12(9)-6)=102°
see the attached figure to better understand the problem
P is the principal amount, $5200.00.
r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
t is the time involved, 9....year(s) time periods.
So, t is 9....year time periods.
To find the simple interest, we multiply 5200 × 0.06 × 9 to get that:
The interest is: $2808.00
21/20 ,because 0.5 is 1/20 of the whole number 1,so 20/20 + 1/20=21/20
Answer:

Step-by-step explanation:
Given sequence is:
2,6,18,54,162
So the common ratio can be found by dividing the second term by first term:
r = 6/2 = 3
The standard formula for geometric sequence is:

Putting the value of r

So,
