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zalisa [80]
2 years ago
10

Polygon Angle Sums - Part 2

Mathematics
1 answer:
Rashid [163]2 years ago
5 0

Answer:

x = 80°

Step-by-step explanation:

Find attached the complete question with diagram. Also find attached the diagram used for solving the question.

There area 3 angles in the diagram:

x + 8, 2x + 12, x + 20

Let the interior angles be labelled a, b, and c

a+ 2x+12 = 180° (sum of angles on a straight line)

a= 180-(2x+12) = 168 -2x in degrees

b+ x+20 = 180° (sum of angles on a straight line)

b = 180-(x+20) = 160 -x in degrees

c+ x+8 = 180° (sum of angles on a straight line)

c = 180-(x+8) = 172-x in degrees

a+b+c = 180° (sum of angles in triangle)

(168 -2x)° + (160 -x)° + (172-x)° = 180°

500 -4x = 180

500-180 = 4x

320 = 4x

x = 320/4

x = 80°

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Answer:

0.27

Step-by-step explanation:

To solve this problem, we will use Set Theory Approach to Probability.

Let U = the Sample Space which consists of all possible tests.

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So, no elements in that.

U = n = 30

Let Q = the event bearing a multiple of 4 No winning ticket, and,

R = the case that has the No. 19 winning ticket

∴

Q  = { 4,  8, 12 , 16 , 20, 24 , 28} ,  and

R  = {19} , so that

Q ∩ R  = ϕ

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As, n(Q) = 7 , n(R) = 1  , we have,

P (Q) = \frac{n (A)}{n(U)} = \frac{7}{30},  and P (R) = \frac{1}{30\\}

P (Q∪R) = P(Q ) + P(R) − P(A∩B) = \frac{7}{30} +  \frac{1}{30\\} − 0 = \frac{8\\}{30\\}

≅ 0.27 .

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2 years ago
Please help will give brainliest and 30 pts
Rus_ich [418]
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Length of rectangle is 2(7z + 3) meters. the width is 5z meters than length perimeter in terms of z please
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Answer:

Step-by-step explanation:

Given,

Length (l) = 2(7z + 3) = 14z + 6

Breadth (b) = 5z

Now,

Perimeter of rectangle (P) = 2(l + b)

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Step-by-step explanation:

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A point, beginning at (0,0), undergoes the following composition of translation. Write an ordered pair for the points final posi
Fiesta28 [93]

Answer:

(-1,-5)

Step-by-step explanation:

Starting at (0,0), we perform the first translation:

T<5,-7> implies that we move the point 5 units to the right (in the x (horizontal) direction), and 7 units DOWN in the y <vertical) direction.

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Therefore the new location is (-1,-5)

8 0
3 years ago
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