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Ganezh [65]
3 years ago
6

Find x,y, and z and please show all work.

Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

x = 47°

y = 10

z = 5

Step-by-step explanation:

They share the middle line which is one side. It's given that side y is congruent to the side with a value of 5. Angle X and the non labeled angel are also congruent to each other. Using SAS (side angle side) we can conclude the 2 triangles are congruent, which means all angles and sides are congruent and equal.

The angles of a triangle add to 180.

x+90+43=180

x=47

z is congruent/equal to 5 since they are congruent and equal triangles. Therefore z=5

Y is congruent to side 10, which also means it is equal to 10. Therefore y=10

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keisha got a fish tank. It fits on table that is exactly 10 inches wide and 12 inches long. When the tank is filled, it can hold
MatroZZZ [7]

Answer: 15 inches is the height of Keisha's fish tank.

Step-by-step explanation: Basically, multiply your length x width, which is 12 x 10. 12 x 10 = 120.

Next, divide 1800 by 120.

1800 divided by 120 is 15.

So, 15 inches is the height of the fish tank.

5 0
3 years ago
F(x) = x^2. What is g(x)
Alexeev081 [22]

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
  • If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k  

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

4 0
3 years ago
Find n(A) for A={0,1,2,3,...,2000}
miskamm [114]
There are 2001 items in that set.

So n(A) = 2001

We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1

where,
m = starting value
n = ending value

In this case,
m = 0
n = 2000
So,
n-m+1 = 2000-0+1 = 2001

This formula only works if we increase the number by 1 each time (eg: 6, 7, 8, etc)
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konstantin123 [22]
He will get back $2.30
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Answer:

Due to religion you may be obligated to donate 10% or something of that matter.

Step-by-step explanation:

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