Answer:
Angles supplementary to angle 9 = Angle <u>10</u>, <u>7</u>, <u>5</u>, <u>1</u>, <u>4</u>, <u>3</u>, <u>15</u>, <u>12</u>, <u>24</u>, <u>22</u>, <u>20</u>, <u>19</u>, and angle <u>16</u>.
Step-by-step explanation:
Use the vertical, and corresponding angles theorem to find congruent angles.
Look for linear pairs (adjacent(next to each other, or share a side) angles that make 180° or a straight angle) from the corresponding angles.
Something is supplementary if it adds to 180 degrees.
The vertical angles theorem states that pairs of opposite angles made by interesecting lines are congruent.
The corresponding angles theorem states that corresponding or angles relative to the same position are congruent if the transversal crosses at least 2 parallel lines.
89 multiplied by .07 is 6.23 so add 6.23 to 89 aka
$95.23 is your answer
There is only one solution
When you graph both equations, they intersect therefore the intersection point tells you there is one solution. If it was infinitely many solutions then it would be the same line. If it was no solution then the graph would show to parallel lines.
Answer:
n = 60
Step-by-step explanation:
GIVEN DATA:
Total sum of consecutive number is 1800
sum of n number is given as
where n is positive number and belong to natural number i.e 1,2,3,4,...
from the data given we have
solving for n we get
[/tex]n^2 + n -3600 = 0[/tex]
n = 59.5, -60.5
therefore n = 60
Answer:
8
Step-by-step explanation:
Key to this question is assume that each exchange preserves the total dollar amount of Nick’s money.
If He exchanges all his $5 bills for $1 bills, it means that a $5 bill will result in 5 $1 bills as such, if he had x number of $5 bill, after the exchange, he would have 5x $1 bills.
then all his $20 bills for $5 bills, it means that for each $20 bill, he gets 4 $5 bills which means that if he had y number of $5 bills, after the exchange, he would have 4y $5 bills.
and finally all his $100 bills for $20 bills, then he must have received 5 $20 bills for each $100 such that if he had z number of $100 bills before the exchange, he would have 5z number of $20 bills after the exchange. Given that originally he had 17 bills and later 77 bills then
x + y + z = 17
5x + 4y + 5z = 77
Multiplying the first equation by 5,
5x + 5y + 5z = 85
5x + 4y + 5z = 77
subtract 2 from 1
y = 8
