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Trava [24]
2 years ago
12

Find the value of z in the isosceles triangle shown below. V20 V20 8

Mathematics
1 answer:
Andrews [41]2 years ago
5 0

Answer:

<h3>x = 2</h3>

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = x

           b = 8/2 = 4  

           c = √20

plugin values into the formula:

x² + 4² = (√20)²

x² + 16 = 20

x² = 20 - 16

x = √4

x = 2

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Refer to the attachment for answer...

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2 years ago
Solve the system.
Alex777 [14]

Answer:

{x,y,z} = {-18,4,2}

Step-by-step explanation:

Solve equation [2] for the variable  x  

x = -10y + 2z + 18

Plug this in for variable  x  in equation [1]

(-10y+2z+18) + 9y + z = 20

- y + 3z = 2

Plug this in for variable  x  in equation [3]

 3•(-10y+2z+18) + 27y + 2z = 58

   - 3y + 8z = 4

Solve equation [1] for the variable  y  

 y = 3z - 2

Plug this in for variable  y  in equation [3]

  - 3•(3z-2) + 8z = 4

   - z = -2

Solve equation [3] for the variable  z  

 z = 2

By now we know this much :

 x = -10y+2z+18

   y = 3z-2

   z = 2

Use the  z  value to solve for  y  

 y = 3(2)-2 = 4

Use the  y  and  z  values to solve for  x  

 x = -10(4)+2(2)+18 = -18

6 0
2 years ago
If f(x) = |x| and g(x) = |x| − 4, which transformation is applied to f(x) to get g(x)
velikii [3]
The graphs have precisely the same shape, but that of g(x) is that of f(x) translated 4 units DOWN.
7 0
3 years ago
Simplify the following expression.
svetlana [45]

Answer:

D. 35x+111y

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Read 2 more answers
The Wallow Fire of 2011 burned 538,000 acres in eastern Arizona. a. If one square mile is 640 acres, how many square miles did t
balu736 [363]

a) The fire burnt 840.6 square miles

b) The fire burnt 16.8 tempe

Step-by-step explanation:

1 square mile = 640 acres

a) to find how many square miles did the fire burn:

Total area the fire burn = 538000 acres

1 square miles = 640 acres

Concert the acres into square miles

538000/ 640 = 840.6 square miles

The fire burnt 840.6 square miles

b) 50 square miles= 1 temperatures

The no. Of tempe the fire burn = 840.6/50

= 16.8 tempe

The fire burnt 16.8 tempe

4 0
3 years ago
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