Rectangle ABCD has m∠BAC=4x+5and m∠ACD=5x−4. Find m∠CAD m∠CAD =

m∠CAD = 49degrees

Step-by-step explanation:

For a rectangle ABCD if m∠BAC=4x+5and m∠ACD=5x−4, then;

m∠BAC = m∠ACD (alternate angles)

4x+5 = 5x - 4

4x-5x  = -4-5

-x = -9

x = 9

Also

m∠BAC+m∠CAD = 90

4x+5+m∠CAD = 90

4(9)+5+m∠CAD = 90

36+5+m∠CAD = 90

41+m∠CAD = 90

m∠CAD = 90-41

m∠CAD = 49degrees

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The total nom of  code that can be used is equal to 5+3 = 8

The solution is in the following image

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg