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➷ Angle XBC = 55 degrees because corresponding angles are equal
b) We already know angle XBC
Angle XCB = Angle XBC because isosceles base angles are equal
Therefore, angle XCB = 55 degrees
Angles in a triangle equal 180 degrees
180 - (55 + 55) = 70
Angle BXC = 70 degrees
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Answer:
the larger number is 69
the smaller number is 16
Step-by-step explanation:
x is the smaller number
y is the larger number
x + y = 85
y - 4x = 5
y = 5 + 4x
x + 5 + 4x = 85
5x = 80
x = 16
y = 69
Answer:
1. 6.2831 2. 7 3. 4.7 4. irrational 5. rational
Step-by-step explanation:
Given:
Principal = $14850
Rate of interest = 4% compounded semiannually.
Time = 3 years
To find:
The amount after 3 years.
Solution:
Formula for amount is:

Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.
The interest is compounded semiannually, so n=2.
Putting
in the above formula, we get



On further simplification, we get



Therefore, the amount in the account after three years is $16723.51.
Answer: X = 8.67
Step-by-step explanation: