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2 years ago

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Mathematics

2 answers:

vovikov84 [41]2 years ago

6 0

Answer:

1. x = 20

y = 120

2. x = 263

Step-by-step explanation:

•••

As AOB is a line,

( 7x - 20 ) + 3x = 180

7x - 20 + 3x = 180

10x - 20 = 180

10x = 180 + 20 = 200

10x = 200

x = 200/10 = 20

Then, as COD is a line,

y + 3x = 180

y + 3(20) = 180

y + 60 = 180

y = 180 - 60 = 120

•••

2. Draw a parallel line AB and CD.

Then,

Angle BAE + Angle y = 180 [Co-interior angles]

56 + y = 180

y = 180 - 56 = 124

Angle DCE + Angle z = 180

41 + z = 180

z = 180 - 41

z = 139

Now, z + y = 139 + 124 = 263

Trava [24]2 years ago

3 0

Step-by-step explanation:

7x+20°+3x=180°{straight angle}

10x=180-20

x=160/10

x=16°

again,

y=7x+20{vertically opposed angle r equal}

7×16+20
132°

<h3>stay safe healthy and happy.</h3>

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iVinArrow [24]

Answer:

x = 121

Step-by-step explanation:

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Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of

OLga [1]

Answer:

probability that his sample will contain at least one damaged apple (P) = 0.7215

Step-by-step explanation:

Given:

Probability of damaged apples (p) = 12% = 0.12

number of samples (n) = 10

Consider,

x- number of apples damaged.

Using Binomial distribution formula:

P(x) = $(nCx) (P)^x (1-p)^(n-x)$

To find the probability that his sample will contain at least one damaged apple:

P(x≥1) = 1 - P(x<1)

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3 years ago

Use the diagram to determine which statement is true

hichkok12 [17]

A. Area of ABCD - Area of DGA = Area of DEFG
s^2 - 1/2bh = s^2
(5)^2 - 1/2(4)(3) = (3)^2
25 - 1/2(12) = 9
25 - 24 = 9
1 not equal to 9

B. Area of ABCD - Area of GHIA = Area of DGA
s^2 - s^2 = 1/2bh
(5)^2 - (4)^2 = 1/2(4)(3)
25 - 16 = 1/2(12)
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C. Area of ABCD + Area of DGA = Area of GHIA
s^2 + 1/2bh = s^2
(5)^2 + 1/2(4)(3) = (4)^2
25 + 1/2(12) = 16
25 + 6 = 16
31 not equal to 16

D. Area of DEFG + Area of GHIA = Area of ABCD
s^2 + s^2 = s^2
(3)^2 + (4)^2 = (5)^2
9 + 16 = 25
25 = 25

The answer is D.

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