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olganol [36]
3 years ago
7

Nick, Paul and krutika share £80 in a ratio 1:1:2 how much money does each person get

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

Step-by-step explanation:

x + x + 2x = 80

4x =80

X = 20

Nick = 20

Paul = 20

Krutika = 40

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∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what i
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Answer:

measure of ∠ABD = 42°

Step-by-step explanation:

Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)

In this case the intercepted arcs are: minor arc AC and minor arc AD. Let´s first find minor arc AD, we know that:

minor arc AC + minor arc CD + minor arc AD = 360°

Then,

minor arc AD = 360° - minor arc AC - minor arc CD

minor arc AD = 360° - 72° - 132°

minor arc AD = 156°

Replacing in the aforementioned formula:

Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)

∠ABD = (1/2)*(minor arc AD - minor arc AC)

∠ABD = (1/2)*(156° - 72°)

∠ABD = 42°

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