Answer: and .
Step-by-step explanation:
Since, we have number with help of which we have to find a square.
If we divide 9 by 9 then we will obtain 1 which is itself a square.
That is,
Now, If we multiply 9 by itself we obtain 81, which is the square of 9.
That is,
Note: We can also make other squares by using number 9.
The value of angle B is 121degree and Angle C is 59 degree, and Angle D has the same measure as the angle B
It is defined as the four-sided polygon in geometry having four edges and four corners and twopairs of congruent sides. It has one pair of opposite congruent angles.
We have a quadrilateral in which angle B and angle D are given.
As we know the opposite angles in the quadrilateral are same in measure.
10x - 19 = 7x + 23
3x = 42
x = 14
Angle B = 10x - 19 = 10(14) - 19 = 121 degree
Angle C = 7x + 23 = 7(14) + 23 = 121 degree
Angle A + Angle C = 360 - 121 -121 = 118
Angle C = 118/2 = 59
Thus, the value of angle B is 121degree and Angle C is 59 degree, and Angle D has the same measure as the angle B
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Answer:
Measure B= 121
Measure C=59
Step-by-step explanation:
10x-19=7x+23
3x=42
x=14
plug in x to the problem and you'll find Measure B is 121 so to find Measure C you'll have to subtract 180 and 121 to get 59.
It will take 12.8047 years for Jari's investment to double
Step-by-step explanation:
The formula for compound interest, including principal sum is
, where:
Jari invests in a CD with an annual interest rate of 5.45% compounded quarterly. We need to find how many years it will take for Jari's investment to double.
∵ The annual interest rate is 5.45%
∴ r = 5.45% = 5.45 ÷ 100 = 0.0545
∵ The interest rate is compounded quarterly
∴ n = 4
∵ The Jari's investment is doubled in t years
∴ A = 2P
- Substitute these values in the rule above
∵
- Divide both sides by P
∴
∴
∴
- Insert ㏒ to both sides
∴
- Remember
∴ ㏒(2) = 4t ㏒(1.013625)
- Divide both sides by 4 ㏒(1.013625) to find t
∴ t = 12.8047 years
It will take 12.8047 years for Jari's investment to double
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