Answer:7.95
Step-by-step explanation:
15.90/2
Answer:
The perimeter of Δ ABC is 40 cm ⇒ 2nd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- Circle D is inscribed in triangle ABC
- The circle touches the side AB at H , side BC at F , side CA at G
- BF and BH are tangents to circle D from point B
∴ BF = BH ⇒ tangents drawn from a point outside the circle
- CF and CG are tangents to circle D from point C
∴ CF = CG ⇒ tangents drawn from a point outside the circle
- AG and AH are tangents to circle D from point A
∴ AG = AH ⇒ tangents drawn from a point outside the circle
∵ CG = 6 cm ⇒ given
∴ CF = 6 cm
∵ CB = 11 cm ⇒ given
∵ CB = CF + FB
∴ 11 = 6 + FB ⇒ subtract 6 from both sides
∴ FB = 5 cm
∵ FB = BH
∴ BH = 5 cm
∵ AH = 9 cm ⇒ given
∵ AH = AG
∴ AG = 9 cm
∵ AB = AH + HB
∴ AB = 9 + 5 = 14 cm
∵ AC = AG + GC
∴ AC = 9 + 6 = 15 cm
∵ BC = 11 cm ⇒ given
∵ The perimeter of Δ ABC = AB + BC + CA
∴ The perimeter of Δ ABC = 14 + 11 + 15 = 40 cm
* The perimeter of Δ ABC is 40 cm
Answer:
4). The Washington Monument is 169.2-m tall.
Step-by-step explanation:
4). We know this because...
person 1.8 0.7
---------- = ----- = -------
Wash. x 65.8
We then know to cross-multiply to get:
1.8(65.8) = 0.7x
Which simplifies down to:
118.44 = 0.7x
x = 169.2
Answer:
5). The pond is 180ft wide.
Step-by-step explanation:
5). We know this because...
90 120
----- = -------
135 x
We then know to cross-multiply to get:
90x = 120(135)
Which simplifies down to:
90x = 16200
x = 180
Answer:
6). The height of the clock tower is 13ft 9in.
Step-by-step explanation:
6). We know this because...
person 5.5 4
---------- = -------- = -----
clock x 10
We then know to cross-multiply to get:
5.5(10) = 4x
Which simplifies down to:
55 = 4x
x = 13.75 (13 ft 9 in)
Answer:
Antwanun waters his lawn 3 times a week, he watered his lawn 24 . So what you will need to do is divide 3 in 24 to find how many weeks he has been watering his lawn, You get 8. Mr. Antwanun has been watering for 8 weeks. Equation- Antuwantun waters his lawn 3 times a week so if he watered his lawn 24 times, 3 times a week he would have been watering his lawn for 8 weeks.
