Answer:
Correct choices are a, b, e
Step-by-step explanation:
As per diagram, the circles are equal.
<u>Since the distance AB is the radius of both circles:</u>
- AB = AC = BC = BD = AD = r
<u>So the answer choices:</u>
a. AC = BC
b. AC = BD
C. CD = AB
- Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to r√3/2, so CD = AB√3
d. ABCD is a square
- Incorrect. ACBD is rhombus
e. ABD is an equilateral triangle
- Correct, all three sides are equal to r
f. CD = AB + AB
Answer:
1. x = 2
y = 1
2. x = 3 or 6 (Mistake or typo in problem)
3. y = 13
4. x = 7
y = 15
5. x = 4
Step-by-step explanation:
1. 6x - 3 = x + 7, 5x = 10, x = 2
3y + 2 = y + 4, 2y = 2, y = 1
2. There is most likely a typo. Either 8x = 24 and x = 3 or 2x + 10 = 3x + 4 and x = 6
3. 5y -3 = 2y + 36, 3y = 39, y = 13
4. 8y + 11 + 3y + 4 = 180, 11y + 15 = 180, 11y = 165, y = 15
7x = 3y + 4 = 49, x = 7
5. 7x - 10 = 4x + 2, 3x = 12, x = 4