m<ABD = 52 Given
BC bisects <ABD Given
m<ABC = m<CBD Definition of angle bisector.
m<ABC +m<CBD = m<ABD Angle addition postulate.
m<ABC +m<CBD = 52 Substitution
m<ABC + m<ABC= 52 Substitution
2m<ABC = 52 Combining like angles
m<ABC = 26 Division property of equality.
Answer:
Vijay present age: a
Gautam present age : b
2/3=a/b
3a = 2b
3/4 = (a+5)/(b+5)
4a+20 = 3b +15
(3a - 2b =0) x 3---------9a - 6b = 0
(4a - 3b = -5) x 2------- 8a - 6b = -10
9a - 6b - 8a + 6b = 10
a = 10
3(10) - 2b =0
-2b = -30
b = 15
So
Vijay present age = 10
Gautam present age = 15
I'm assuming this is multiple choice and you forgot to post the answers. I'll take a guess and say it probably looks something like this:
Because you can't take the square root of a negative number without getting an imaginary result, resulting in the function having a closed domain limit.
Answer:
a)
We know that the total cost for the 150 shirts (plus a flat-rate of $25) is $1,825.
First, let's find how much costs each shirt.
First, the total cost of the shirts alone (neglecting the flat-rate) is:
$1,825 - $25 = $1,800
Then each shirt costs equal to the quotient of the cost and the number of shirts:
$1,800/150 = $12
Each shirt costs $12.
Then if you order T shirts, the total cost will be the flat-rate of $25 plus T times $12. The equation is:
C(T) = $25 + T*$12
b) C represents the cost
T represents the number of shirts ordered.
c) The initial value is the constant value, in this case, is $25
The rate of change is the coefficient that multiplies the independent variable (T), in the equation the rate of change is $12.
