Answer:
23.5 in
Step-by-step explanation:
To find the length of HJ in triangle GHJ, create <u>three equations</u> using the given information, then solve simultaneously.
<u>Equation 1</u>
HJ is two inches longer than GH:
⇒ HJ = GH + 2
<u>Equation 2</u>
GJ is 17 inches shorter than the sum of HJ and GH:
⇒ GJ + 17 = HJ + GH
<u>Equation 3</u>
The perimeter of ΔGHJ is 73 inches:
⇒ HJ + GH + GJ = 73
<u>Substitute</u> Equation 1 into <u>Equation 2</u> and isolate GJ:
⇒ GJ + 17 = GH + 2 + GH
⇒ GJ + 17 = 2GH + 2
⇒ GJ = 2GH - 15
<u>Substitute</u> Equation 1 into <u>Equation 3</u> and isolate GJ:
⇒ GH + 2 + GH + GJ = 73
⇒ 2GH + GJ = 71
⇒ GJ = 71 - 2GH
<u>Equate</u> the two equations where GJ is the subject and <u>solve for GH</u>:
⇒ 2GH - 15 = 71 - 2GH
⇒ 4GH = 86
⇒ GH = 21.5
<u>Substitute</u> the found value of GH into <u>Equation 1</u> and solve for HJ:
⇒ HJ = 21.5 + 2
⇒ HJ = 23.5
Answer:
Probability of getting number 10 = 0
Step-by-step explanation:
Given;
Total sides of cube die = 6
Find:
Probability of getting number 10
Computation:
Total number of cube = 1, 2, 3, 4, 5, 6
Favorable outcome for 10 = 0
Probability of an event = Favorable outcome / Number of outcomes
Probability of getting number 10 = 0 / 6
Probability of getting number 10 = 0
1 game has 3 bags of green chips ; 2 bags of red chips ; 5 bags of yellow chips
1 bag: 25 green chips
1 bag: 30 red chips
total number of chips:
green: 3 x 25 = 75
red: 2 x 30 = 60
yellow: 75 + 60 = 135 answer to part a.
75 + 60 + 135 = 270 total number of chips.
270 / 54 = 5 players. answer to part b.
Each of the 5 players will have 15 green chips, 12 red chips, and 27 yellow chips, for a total of 54 chips.
Answer:
slope =2
Step-by-step explanation:
use math-way it helps
