Answer:
Step-by-step explanation:
SAS = side- angle- side
It requires two sides and the included angle be congruent.
Given one congruent side and one congruent adjacent angle.
<u>In addition to what is given we need the other side be congruent too:</u>
let the goldfish be x and the guppies be y
4x + 3y = 29...equ(1)
3x + 5y = 30...equ(2)
multiplying equation 1 by 5 and equation 2 by 3
20x + 15y = 145...equ(1)
9x + 15y = 90...equ(2)
subtracting equation 2 from 1
11x = 55
∴x = 5
substituting the value of x into equation
4(5) + 3y = 29
20 + 3y = 29
3y = 9
∴y =3
Answer:
see below
Step-by-step explanation:
DB = 9 units (by counting)
BA = 12 units (by counting)
DA can be found by using the pythagorean theorem
a^2 +b^2 = c^2
BD^2 + BA^2 = DA ^2
9^2 +12^2 = DA^2
81 +144 = DA^2
225 = DA ^2
Take the square root of each side
sqrt(225) = sqrt(DA^2)
15 = DA
LJ = 3 units (by counting)
JK = 4 units (by counting)
LK can be found by using the pythagorean theorem
a^2 +b^2 = c^2
LJ^2 + JK^2 = LK ^2
3^2 +4^2 = LK^2
9 +116 = LK^2
25 = LK ^2
Take the square root of each side
sqrt(25) = sqrt(LK^2)
5 = LK
Scale factor from BAD to JKL
15 to 5
Divide each side by 5
3 to 1
We multiply by 1/3 to go from the big to small
Answer:
omg
Step-by-step explanation:
omg omg omg omg omg what is this
<h3>
Answer: 11/12</h3>
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Explanation:
3/4 = 9/12 after multiplying top and bottom by 3
1/3 = 4/12 after multiplying top and bottom by 4
When combining the fractions 3/4 and 1/3, we get,
3/4 + 1/3 = 9/12 + 4/12 = (9+4)/12 = 13/12
Let's convert that result into a mixed number
13/12 = (12+1)/12
13/12 = 12/12 + 1/12
13/12 = 1 + 1/12
13/12 = 1 & 1/12
Adam and Brian have collectively eaten 1 full pizza plus an additional 1/12 of the second pizza. This leaves 11/12 of the second pizza for Christine to eat. Notice how the fractions part 1/12 and 11/12 add to 12/12 = 1.
Check out the diagram below.
