Answer:
DE = 29.57
Step-by-step explanation:
Given:
AX = 15 cm,
CX = 12 cm,
EX = 21 cm.
Required:
Find DE
Solution:
AX and CX are segments of chord AC
DX and EX are segments of chord DE
Therefore,
DE = DX + EX
DE = DX + 21
We are not given the value of DX, so we need to find DX
Based on the intersecting chords theorem:
AX*CX = DX*EX
Plug in the values
15*12 = DX*21
180 = DX*21
Divide both sides by 21
180/21 = DX
8.57142857 = DX
DX ≈ 8.57
✅DE = DX + 21 = 8.57 + 21 = 29.57
Answer:
1.2 minutes
Step-by-step explanation:
So its saying it takes 6 mins to do 5 laps. Thats a little over a min per lap so we now its going to be over 1. The first step is to divide 6/5. Then you get 1.2
Answer:
4.5 cups of spinach
Step-by-step explanation:
we know that
The recipe serves 12 people and calls for 3 cups of spinach
so
using proportion
Find out how many cups of spinach should you use, to serve 18 people
Answer:
(x - 3)(x - 7)
Step-by-step explanation:
Please use the symbol " ^ " for exponentiation: x^2 - 10x + 21.
Note that 3*7 = 21 and that 3+7 = 10. These are the clues we need to factor x^2 - 10x + 21. If we factor by grouping, we get:
x^2 - 10x + 21 = (x - 3)(x - 7). Note how -3x and -7x add up to -10 x (as they should), and that -3 times -7 is +21 (as required).