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Oksanka [162]
2 years ago
15

ABC is an isosceles AB= 3x-4 and BC= 5x-10 what is AB?

Mathematics
2 answers:
Kitty [74]2 years ago
8 0
AB = 5
3x-4=5x-10
-3. -3
-4 = 2x -10
+10. +10
6 = 2x (divide by 2 on both sides)
X = 3

AB = 3x-4
3(3)-4 ( substitute for x)
9 - 4
= 5
kakasveta [241]2 years ago
3 0
3x-4=5x-10
Subtract 3x from both sides
-4=2x-10
Add 10 to both sides
6= 2x
X= 3
3 times 3-4
AB=5
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The weight of a box varies directly as the volume of the box . If a 138 - pound box has a volume of 23 gallons , what is the wei
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Arc length MK = 15.45 units (nearest hundredth)

Arc measure = 58.24°

Step-by-step explanation:

Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)

ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

\sf \cos(\theta)=\dfrac{A}{H}

where:

  • \theta is the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Given:

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\implies \sf \cos(KLM)=\dfrac{8}{15.2}

\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)

\implies \sf \angle KLM=58.24313614^{\circ}

Therefore, the measure of arc MK = 58.24° (nearest hundredth)

\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}

Given:

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\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)

\implies \textsf{Arc length MK}=\sf 15.45132428\:units

6 0
2 years ago
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