Answer:
Step-by-step explanation:
<u>Given</u>
- m∠ABC = x°
- m∠BCD = 25°
- m∠CDE = 55°
- m∠DEF = 3x°
Add two more parallel lines passing through points C and D.
Consider alternate interior angles formed by the four parallel lines.
<u>The angles between the two middle lines are equal to:</u>
- m∠BCD - m∠ABC = m∠CDE - m∠DEF
<u>Substitute values and solve for x:</u>
- 25 - x = 55 - 3x
- 3x - x = 55 - 25
- 2x = 30
- x = 15
m∠ABC = 15°
Answer:
Total interest will $1800 after 5 years.
Step-by-step explanation:
It is given that the principle amount is $6000.
Rate of interest rate is 6% per annum.
Total interest is $1800.
Formula for simple interest is
Where, P is principle, r is rate of interest in percent and t is time in years.
Substitute P=6000, r=6 and I=1800 in the above formula.
Divide both sides by 360.
Therefore the total interest will $1800 after 5 years.
Answer:
t=16
Step-by-step explanation:
you have to change the numbers to get just the variable.
we start from -3.
5=t/2-3
8=t/2
(we multiply by 2 instead of dividing)
8×2=16
t=16
Circumference of a circle is an equation
c = (pie) x d or ........ c = 2(pie) × r
c = 3.14 × d or ...... c = 2(3.14) x r
d is the diameter and r is radius
c = (3.14) x 26
c = 81.64 in.
Answer: 
Step-by-step explanation:
Given:
To make 
the subject of the formula means that we want to make to stand alone , the first thing to do is to multiply through by 1/4a , that is
take the square of both sides:
