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3 years ago

Find y from the picture plz

Mathematics

2 answers:

Xelga [282]3 years ago

6 0

It's a six sided polygon. For any polygon the external angles add to 360 degrees. The internal angles shown are the supplements of the external angles. We have

(180 - θ₁) + (180 - θ₂) + ... + (180 - θ₆) = 360

6(180) - 360 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆

720 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆

The six angles add up to 720 degrees, and five of them add to

126+101+135+147+96=605

So y = 720 - 605 = 115

The degree sign is external to y so not part of the answer:

Answer: 115

photoshop1234 [79]3 years ago

4 0

Answer:y = 115 degrees

Step-by-step explanation:

The given polygon has 6 sides. It is a hexagon. The sum of the interior angles of a polygon is

180(n - 2)

Where

n is the number of sides that the polygon has. This means that n = 6

Therefore, the sum of the interior angles would be

180(6 - 2) = 720 degrees

Therefore,

126 + 101 + 135 + 147 + 96 + y = 720

605 + y = 720

Subtracting 605 from both sides of the equation, it becomes

y = 720 - 605 = 115 degrees

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2 years ago

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2 years ago

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2 years ago

Given: △ACM, m∠C=90°, CP ⊥ AM

larisa86 [58]

Answer: The answer is $3\dfrac{4}{7}.$

Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

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In the right-angled triangle ACM, we have

$AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.$

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$AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)$

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$CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)$

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$AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.$

8 0

3 years ago

Find y from the picture plz ​

Find y from the picture plz