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ipn [44]
2 years ago
8

Given the figure below, find the values of x and z.

Mathematics
1 answer:
ankoles [38]2 years ago
7 0
<h3>Answers:</h3><h3>x = 4</h3><h3>z = 61</h3>

===================================================

Work Shown:

The left and right angles (119 and 9x+83) are vertical angles.

Therefore, they are congruent or equal angles.

9x+83 = 119

9x = 119-83 ..... subtract 83 from both sides

9x = 36

x = 36/9 .... divide both sides by 9

x = 4

--------

To find the value of z, we take advantage of the fact that angles 119 and z are supplementary. They add to 180 degrees.

z+119 = 180

z = 180-119 .... subtract 119 from both sides

z = 61

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You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the grou
Furkat [3]
Sin 24 = h/30 

<span>h = 30 sin 24 = 12.2 ft </span>
5 0
3 years ago
Please find measure of angle s. PLEASE HELP FAST!!
Studentka2010 [4]

Answer:

27

Step-by-step explanation:

15x-31 = 9x+11

6x-31 = 11

6x = 42

x = 7

15x -31 + 9x + 11 + s = 180

15(7) -31 + 9(7) + 11  + s = 180

105 - 31 + 63 + 11 + s = 180

153 + s = 180

s = 27

8 0
2 years ago
Một lô hàng chứa rất nhiều sản phẩm, trong đó tỷ lệ sản phẩm loại tốt là 70%. chọn ngẫu nhiên từ lô hàng ra 5 sản phẩm. gọi X là
den301095 [7]

trả lời : lâp bảng

X=0 thì xác suất lấy ra được sản phẩm tốt là 5*30%=1,5%

X =1 thì xác suất lấy ra được là 1* 70%*4*30%=0,84%

X=2 thì xác suất lấy ra được sản phẩm tốt là 2*70%*3*30%=1,26%

X=3 thì xác suất lấy ra được sản phẩm tốt là 3*70%*2*30%=1,26%

X=4 thì xác suất lấy ra được sản phẩm tốt là 4*70%*1*30%=0,84%

X=5 thì xác suất lấy ra được sản phẩm tốt là 5*70%=3,5%

X 0 1 2 3 4 5

P 1,5 0,84 1,26 1,26 0,84 3,5

b,

E(x)= 1,5*0+ 0,84*1+1,26*2+1,26*3+0,84*4+3,5*5=28

E(x^2)=1,5*0^2+0,84*1^2+1,26*2^2+1,26*3^2+0,84*4^2+3,5*5^2=118,16

===> V(x)= (E(x))^2-E(x^2)=28^2-118,16=665,84

8 0
3 years ago
-3 17/20 as a decimal
alekssr [168]

Answer:

-3.85

-3 is a whole number, it comes before the decimal point.

17/20 is a fraction so it goes on the other side.

7 0
3 years ago
Please help! due in next 10min!?!
Paladinen [302]

Answer:

21.99

Step-by-step explanation:

This is simple just times 3.14 and 7 to get 21.99

7 0
3 years ago
Read 2 more answers
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