Option B:
The perimeter of ΔABC is 28 units.
Solution:
AD = 5, DC = 6 and AB = 8
AD and AE are tangents to a circle from an external point A.
BE and BF are tangents to a circle from an external point B.
CD and CF are tangents to a circle from an external point C.
<em>Tangents drawn from an external point to a circle are equal in length.</em>
⇒ AD = AE, BE = BF and CD = CF
AE = 5
AE + BE = AB
5 + BE = 8
Subtract 5 from both sides.
BE = 3
BE = BF
⇒ BF = 3
CD = CF
⇒ CF = 6
Perimeter of the polygon = AE + BE + BF + CF + CD + AD
= 5 + 3 + 3 + 6 + 6 + 5
= 28
The perimeter of ΔABC is 28 units.
Option B is the correct answer.
Answer:
Its either C. or D.
Step-by-step explanation:
Answer:
7/8
Step-by-step explanation:
The greatest common factor in each is two so you divide both the numerator and the denominator by two to simplify the fraction
Answer:
x = (-5)/3
Step-by-step explanation:
Solve for x:
19 - 6 x = 29
Hint: | Isolate terms with x to the left hand side.
Subtract 19 from both sides:
(19 - 19) - 6 x = 29 - 19
Hint: | Look for the difference of two identical terms.
19 - 19 = 0:
-6 x = 29 - 19
Hint: | Evaluate 29 - 19.
29 - 19 = 10:
-6 x = 10
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -6 x = 10 by -6:
(-6 x)/(-6) = 10/(-6)
Hint: | Any nonzero number divided by itself is one.
(-6)/(-6) = 1:
x = 10/(-6)
Hint: | Reduce 10/(-6) to lowest terms. Start by finding the GCD of 10 and -6.
The gcd of 10 and -6 is 2, so 10/(-6) = (2×5)/(2 (-3)) = 2/2×5/(-3) = 5/(-3):
x = 5/(-3)
Hint: | Simplify the sign of 5/(-3).
Multiply numerator and denominator of 5/(-3) by -1:
Answer: x = (-5)/3
Answer:
14:11
Step-by-step explanation:
All you need to do is add 9 to both sides of the ratio 5:2, then getting your final answer which is 14:11.
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