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Answer:
x=3, y=8; (3,8)
Step-by-step explanation:
To use the substitution method, first solve for a variable.
2x+y=14
2x+y(-2x)=14(-2x)
y=14-2x
Now substitute y in the other equation with 14-2x
5x-2(14-2x)= - 1
Simplify by multiplying inside the parenthesis.
5x-28+4x= - 1
Combine the x values
9x-28= - 1
9x=27
x=3
Now substitute the x value in to solve for y
2(3)+y=14
6+y=14
y=8
Step-by-step explanation:
Firstly, we have to find m∠J.
Since all the angles of a Δ equal 180°, angles J, L, and K should have a sum of 180°.
So,
m∠J + m∠L + m∠K = 180°
The diagram shows us that ∠L = 49° and ∠K = 90°, so we plug in those numbers in the equation.
m∠J + 49° + 90° = 180°
Then we simplify
m∠J + 139° = 180°
Subtract 139° to both sides
∠J = 41
Now the other angles.
Since ΔJKL ~ ΔRST, then ∠J ≅ ∠R, ∠K ≅ ∠S, and ∠L ≅ ∠T
Meaning, m∠J = m∠R, m∠K = m∠S, and m∠L = m∠T
Since we know m∠J = 41°, m∠K = 90°, and m∠L = 49° we could plug those in so...
41° = m∠R , 90° = m∠S , and 49° = m∠T
The lowest common denominator is lcm(5, 3), which is 15.
The sum of 2/5 + 5/3 + 9/3 is 6/15 + 25/15 + 45/15, which is 76/15 or 
.
Answer:
63.59
Step-by-step explanation:
If the perimeter is 32.13, that means it is equal to
2r + 2πr/4 = 32.13
Solving this for r we get 9
Now, we can find the area, which is 3.14*r^2 / 4. Assuming pi to be 3.14 again, we get 63.585. Rounding this to the nearest hundredth, we get 63.59
