Answer
x=20
Step-by-step explanation:
(x-3) + (8x+3) = 180
9x = 180
x=20
To calculate this we simply need to devide 153 by 18.
153/18=8.5
which means that Sarah can buy 8 new CDs and will have
153 - 8*18=9 dollars spare.
Sarah has extra cash because with that spare money she can't buy whole new CD.
Answer:
LM > MK > KL
Step-by-step explanation:
Given: ΔKLM , m∠K = 101° , m∠L = 67°
By definition of a triangle's sum of interior angles, the ∑ΔKLM's interior angles is 180°, ∴ m∠M = 180 - (101 + 67) = 12°
By the usage of law of sines, the opposite side's measurement is contingent with the angle measurement. The smaller the angle measurement, the shorter the opposite side.
Note the angles:
m∠M = 12° ∴ Side LK = shortest
m∠K = 101° ∴ Side ML = longest
m∠L = 67° ∴ Side KM = in between
∴ LK < KM < ML
A) LM > MK > KL is your answer.
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Answer:
(11√3)/3
Step-by-step explanation:
In order to solve for the variable, you will need to use a trig function. In this case, you will need to use the trig function tangent.
Tan = opposite/adjacent
⇒ Tan 30° = x/11
⇒ 11 · Tan 30° = x
⇒ (11√3)/3 = x
