Triangle A
hypotenuse: 3y + x
leg: y - x
Triangle B
hypotenuse: y + 5
leg: x + 5
Congruency => 3y + x = y + 5 and y - x = x + 5
Solve the system
3y + x = y + 5 -> 2y + x = 5
y - x = x + 5 -> y - 2x = 5
2y + x = 5
-2y + 4x = -10
5x = -5
x = -1
y = (5 -(-1)) / 2 = 6/2 = 3
Verify:
hypotenuses
3y + x = 9 - 1 = 8
y + 5 = 3 + 5 = 8
Legs:
y - x = 3 -(-1) = 3 + 1 = 4
x + 5 = -1 + 5 = 4.
Then both hypotenuses and both legs are congruent.
Answer: x = -1 and y = 3
Answer:
Step-by-step explanation:
<u>Use ratios and solve:</u>
- 1 in ÷ 7 ft = x in ÷ 28 ft
- x = 28/7 in
- x = 4 in
Answer:
Step-by-step explanation:
From the picture attached,
Segment AB has been divided into four equal parts.
Let each part measures equal length = 1 unit
Point C is 2 units apart from both the points A and B.
Length of AC = Length of BC = 2 units
Therefore, point C will be the mid point of segment AB.
And ratio of AC and BC = 1:1
AC:BC = 1:1
Similarly, AC:AB = 2:4
= 1:2
And BC:AB = 2:4
= 1:2
Answer:
y = (2 x)/3 + 1/4
Step-by-step explanation:
Solve for y:
8 x - 12 y = -3
Subtract 8 x from both sides:
-12 y = -8 x - 3
Divide both sides by -12:
Answer: y = (2 x)/3 + 1/4
