Answer:
- Sara is 10 and Laila is 8
Step-by-step explanation:
- Sara's age = s
- Laila's age = l
<u>The ratios:</u>
- (s + 2)/(l + 2) = 6/5 ⇒ 5(s + 2) = 6(l + 2) ⇒ 5s = 6l + 2
<u>Substitute s into the second equation and solve for l:</u>
- 5(5l/4) = 6l + 2
- 25l = 24l + 8
- l = 8
<u>Fins s:</u>
Answer:
See below ~
Step-by-step explanation:
1.
- x² + y² + 14x - 2y = -1
- [x² + 14x + 49] - 49 + [y² - 2y + 1] - 1 = -1
- (x + 7)² + (y - 1)² = 49
- Centre = (x, y) = (-7, 1)
- Radius = √49 = 7
2.
- x² + y² - 10x + 8y - 8 = 0
- [x² - 10x + 25] - 25 + [y² + 8y + 16] - 16 - 8 = 0
- (x - 5)² + (y + 4)² = 49
- Centre = (x, y) = (5, -4)
- Radius = √49 = 7
3.
- Points are : (-2, 1) and (4, 3)
- D = √(4 + 2)² + (3 - 1)²
- D = √36 + 4
- D = √40
- D = 2√10
When you name two congruent triangles with the letters of the vertices, you keep the order of the corresponding vertices. That means, that when you say triangle GHI is congruent to JKL, the corresponding congruent angles are G = J, H = K, and I = L. regarding the sides, segment GH = segment JK, segment HI = segment KL, and segment IG = segment LJ. Then, the answer is that, of the four options,<span> the one that is not true is the option c, because as we already said the corresponding equal segment to GH is JK and not KL.</span>
2, they are alternate interior angles