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frez [133]
3 years ago
13

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

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

Answer:

x=10, z=97

Step-by-step explanation:
For X:

Since 83 and (13x-47) are vertically opposite they are equal:

13x-47=83

Add 47 to both sides:

13x-47+47=83+47

Simplify:

13x=130

Divide both sides by 13:

13x÷13=130÷13

Simplify:

x=10

For Z:
The angles (13x-47) and z are on a straight line so we can equate the sum of these 2 to 180:

(13x-47)+z=180

Substitute value of x worked out from previous working out:

13(10)-47+z=180

Simplify:

130-47+z=180

83+z=180

Subtract 83 from both sides:

83+z-83=180-83

Simplify:

z=97

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maw [93]

Answer:

y=40x+500.......................

8 0
3 years ago
What is the anwser to 3(x-4)=12x
e-lub [12.9K]

Answer:

x=-4/3

Step-by-step explanation:

3x-12=12x

3x-12x=12

-9/-3=12/-3

then -3 cancels

3x/3=-4/3

then 3 cancels 3

so x=-4/3

5 0
3 years ago
Please help me and show your wprk
stellarik [79]
This is how I find the GCF.

I find the prime factors. 

63/3 = 21
21/3 = 7
7/7 = 1 

81/3 = 27
27/3 = 9
9/3 = 3
3/3 = 1

Then I find the common prime factors:
63: 3 x 3 x 7
81: 3 x 3 x 3 x 3 

Then I multiply the common prime factors:
3 x 3 = 9

The GCF for 63 and 81 (number 3) is 9. 

I bet you can use this method for all the other GCFs! :)

For this one, find the prime factors like before, and if there aren't any besides one, then it's a prime number. 

75/3 = 25
25/5 = 5
5/5 = 1
 
The prime factorization for 75 is 3 x 5 x 5

(I don't know the answer to 7, 8, 9, 10, 11, 12, 25, or 26, sorry!)


3 0
4 years ago
/ Solve . Round the answers to the nearest hundredth.
julsineya [31]

Answer:

226000

Step-by-step explanation:

225992 is closer to 226000 than 225900

8 0
3 years ago
The sum of two numbers is 45 and there difference is 5 what are the two numbers?
Kamila [148]
Let the two numbers be x and y.
The sum is 45, therefore
x + y = 45                    (1)

The difference is 5, therefore
x - y = 5                      (2)

Add equations (1) and (2).
x + y + (x - y) = 45 + 5
2x = 50
x = 25

From (1), obtain
25 + y = 45
y = 45 - 25 = 20


Answer:  20 and 25

5 0
4 years ago
Read 2 more answers
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