Step-by-step explanation:
Angles APD, DPC and CPB are supplementary. (Angles on a straight line)
Therefore Angle APD + Angle DPC + Angle CPB = 180°.
Since Angle DPC = 90° (Right angle),
Angle APD + Angle CPB = 180° - 90° = 90°.
=> (7x + 1) + (9x - 7) = 90
=> 16x - 6 = 90
=> x = 6
Hence arc measure of minor arc AD
= (7x + 1)° = [7(6) + 1]° = 43°.
Answer:
Answer:
=7r−8
Step-by-step explanation:
−r+6+8r−14
=−r+6+8r+−14
Combine Like Terms:
=−r+6+8r+−14
=(−r+8r)+(6+−14)
=7r−8
P=2L+2W
L=3+w
24=2x(3+w)+2w
24=6+2w+2w
24=6+4w
24-6=4w
18=4w
4 and 1/2 = 2
Answer:
Step-by-step explanation:
Answer:
Total bill=$51.75
Step-by-step explanation:
Step 1: Determine the cost of her meal
Cost of meal=$45
Step 2: Calculate the amount of the tip
Tip amount=15% of the cost of meal
where;
cost of meal=$45
replacing;
Tip amount=(15/100)×45=6.75
The tip amount=$6.75
Step 3: Total bill
The total bill can be expressed as;
Total bill=tip amount+subtotal
where;
tip amount=$6.75
cost of meal=$45
replacing;
Total bill=(45+6.75)=51.75
Total bill=$51.75
The initial amount of the money is £11,000 and the interest is 3.9% per year for first 3 years and then 4.5% after that. If Dan invests it for 7 years, that means the interest would be 3 years of 3.9% and 4 years of 4.5%.
The calculation would be:
total money= initial amount * interestrate1 * interest 2
total money= £11000 *(100%+3.9%)^3<span>*(100%+4.5%)^4
</span>total money= £11000 *(103.9%)^3 * (104.5%)^4
total money= £11000 * <span>1.121622319 </span>* 1.1925186
total money= £14,713.11
