First set up a proportion because they are similar triangles:
9/3x-20 = (72+9)/(56+3x-20)
9/3x-20 = 81/3x+36
9(3x+36) = 81(3x-20)
27x+324 = 243x-1620
1944 = 216x
x = 9
Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
- 2x - y = - 4 → (1)
x + 2y = 5 → (2)
Multiplying (2) by 2 and adding result to (1) will eliminate x- term
2x + 4y = 10 → (3)
Add (1) and (3) term by term to eliminate x
0 + 3y = 6
3y = 6 ( divide both sides by 3 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (2)
x + 2(2) = 5
x + 4 = 5 ( subtract 4 from both sides )
x = 1
solution is (1, 2 )
Answer:
9/12 and 10/12
Step-by-step explanation:
The LCD is the smallest number divisible by both 4 and 6, and that is 12.
Thus, 3/4 and 5/6 are equivalent to 9/12 and 10/12 .
Next time, kindly share the answer choices. Thank you.
Answer:

Step-by-step explanation:
The given triangle is a 45°-45°-90° triangle. Use the following rule:

The length of the legs is 4. Insert this value into the equation:

Simplify:

:Done