Determine the value for AB
2 answers:
<h3>
Answer: AB = 14 </h3>
======================================================
Explanation:
Use the intersecting chord theorem
AO*OB = DO*OC
2x*10 = (x+3)*8
20x = 8x+24
20x-8x = 24
12x = 24
x = 24/12
x = 2
With that x value in mind, we can find the unknown lengths of each piece of each chord.
AO = 2x = 2*2 = 4 DO = x+3 = 2+3 = 5 Then notice how AO*OB = 4*10 = 40 while DO*OC = 5*8 = 40 as well. Both result in the same value (40) which helps verify the correct x value.
To wrap up the problem, we are looking for the length of chord AB, so,
AB = AO+OB = 4+10 = 14
Answer:
x = 2
AB = 14
Step-by-step explanation:
2x(10) = 8(x+3)
20x = 8x + 24
subtract 8x from both sides
12x = 24
x = 2
Check:
4(10) = 8(5)
40 = 40
Correct
2x = 2 x 2 = 4
4 + 10 = 14
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
You might be interested in
Answer:
6 edges
I hope it helps
Answer:
37.5
Step-by-step explanation:
16/46 = 20/(20+x)
or, 16(20+x) = 46×20
or, 320 + 16x = 920
or, 16x = 600
or, x = 600/16
x = 37.5
The pool is 40 since half of the other rectangle is 50 which the 2 halfs equal 100 and we already know the top side measurement which is 40 and 2 sides of 40 equal 80 and there’s 20 left so this concludes that’s the sides are 10 and square sides are congruent to each other which concludes that’s the AREA is 40
The answer is 2.3716 have a great day y’all
-15 because there is ten before 25
