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Andreas93 [3]
3 years ago
7

ray ZP bisects ∠OZQ so that ∠OZP = 8x – 9 and ∠PZQ = 5x + 18. Find the value of x, and the measure of each angle. You must show

all work in order to receive credit!

Mathematics
1 answer:
Alborosie3 years ago
4 0
Since ZP is the bisector of ∠ OZQ, then we can say:

∠OZP = ∠PZQ

8x-9 = 5x+18 
8x-5x = 18 + 9
3x = 27  
x= 27/3 → x = 9

Now plugin the value of x in both angles:
a) 8x - 9 = 8(9) -9 and " 8x - 9 = 63°
b) 5x +18 = 5(9) + 18 and "5x+18" =63°


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vlabodo [156]

To withdraw money from the automated teller machine the numeric pattern required to complete the personal ID numbers is 2, 13, 24, 35,46,57,68.

As given in the question,

Using automated teller machine customers at the bank withdraw money

Numeric pattern given for the personal ID numbers is

2, 13, 24, 35

First term 'a'= 2

Common difference between consecutive terms are same

'd'=13 -2                                                  

   =11

It is an arithmetic progression series

nth term = a+ (n-1)d

5th term = 2 +(5-1)11

               =46

6th term =2+(6 -1)11

              =57

7th term= 2+ (7-1)11

             = 68

Therefore, to withdraw money from the automated teller machine the numeric pattern required to complete the personal ID numbers is 2, 13, 24, 35,46,57,68.

The complete question is:

The customers at the bank would like to withdraw money from the automated teller machine. Help them enter their personal ID numbers by completing the numeric patterns. 2, 13, 24, 35, ___, ___, ____.

Learn more about pattern here

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7 0
1 year ago
Plzz help, Find the volume of the figure
mezya [45]

Answer:

The answer is 896,000

Step-by-step explanation:

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6 0
3 years ago
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A student got 22 out of 25 questions correctly, shade the model to help write the decimal that repersents the fraction of correc
IrinaK [193]

Answer:

25  =  23

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Cross multiply and you will have:

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Step-by-step explanation:


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3 years ago
What is 484/6 ÷ 4 2/3
nata0808 [166]

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Step-by-step explanation:

4 0
4 years ago
What is the surface area of the box if it is scaled up by the factor of 10 and the surface area is 16in
algol [13]
If each linear dimension is scaled by a factor of 10, then the area is scaled by a factor of 100. This is because 10^2 = 10*10 = 100. Consider a 3x3 square with area of 9. If we scaled the square by a linear factor of 10 then it's now a 30x30 square with area 900. The ratio of those two areas is 900/9 = 100. This example shows how the area is 100 times larger.

Going back to the problem at hand, we have the initial surface area of 16 square inches. The box is scaled up so that each dimension is 10 times larger, so the new surface area is 100 times what it used to be

New surface area = 100*(old surface area)
new surface area = 100*16
new surface area = 1600

Final Answer: 1600 square inches

3 0
3 years ago
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