Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9
Answer: 15 players.
Step-by-step explanation:
number of games played in the tournament = 105 games
nunber of games played by each player against another = 1 game each.
Solution:
Number if player who participated in the tournament.
if each player played a game against every other player, and they were 105 games played at the tournament.
n ( n – 1 ) /n = m
= n ( n – 1 ) 2 = 105
open the bracket
n^2 – n = 210
n^2 – n – 210 = 0
( n – 15 ) ( n + 14 ) = 0
n = 15
15 players Participated In the tournament.
Answer: 1/3
Step-by-step explanation: Since 2/6=1/3 we could just add those together and find out that 2/3 is painted and 1/3 isn't.
Answer:
A =
Step-by-step explanation:
A = where r - radius
A =
Rotation 90 degrees clockwise and translation 14 units to the left.