(a) Complementary angles
(b) Vertical angles
(c) Supplementary angles
<u>Explanation:</u>
Complementary angles are those two angles whose sum is 90 degrees.
Supplementary angles are those two angles whose sum is 180 degrees.
Vertical angles are the angles opposite each other when two lines cross.
(a)
Angles 1 and 5 are complementary angles
(b)
Angles 3 and 5 are vertical angles
(c)
Angles 3 and 4 are supplementary angles
Answer:
-(x-8)(x+6)
Step-by-step explanation:
-x^2+2x+48
-(x^2-2x-48)
-(x-8)(x+6)
The trick is to find two numbers that when they multiply, you get the third term, which in this case, is -48. And when you add those two numbers, you get the second term, which is -2 in this case. The two numbers in this case are -8 and 6.
The formula for calculating compound interest with yearly contributions is:
Balance = X*(1 + Y)^n + Z((1 + Y)^(n + 1) - (1 + Y)/Y)
where the balance is the money earned after n years invested
Y is the interest rate as a fraction
Z is the yearly contribution
X is the starting investment
Therefore the calculation for this example is:
Balance = 1200*(1 + 0.05)^48 + 1200((1.05)^49 - (1.05)/05)
= $249,393.5
Make a proportion
x = the amount of miles walked in 137.5 min
25 137.5
--- = --------
2 x
cross multiply
25x = 275
divide both sides by 25
x = 11
paul walked 11 miles in 137.5 minutes
Answer: x=7.7, y=40
3/x = 15/38.5
38.5*3=115.5
115.5/15= 7.7
x=7.7
3/8 = 15/y
15*8=120
120/3= 40
y=40
orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7
