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SCORPION-xisa [38]
3 years ago
6

State if the triangle is congruent

Mathematics
1 answer:
melisa1 [442]3 years ago
8 0

Answer:

Step-by-step explanation:

m∠ JHI + m∠GHJ = 180    { linear pair}

m∠JHI + 90 = 180

m∠JHI = 180 -90 = 90

In ΔGHJ and ΔJHI,

          GJ = IJ   { given}

         JH = JH    {common}

 m∠ JHI = m∠GHJ  { above proved}

ΔGHJ  ≅ ΔJHI     { Angle Side Side congruence}

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The slope intercept equation
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Answer:

y=mx+b

Step-by-step explanation:

Hope this helps.

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3 years ago
What is the value of this expression when a = 3 and b = -2?
weqwewe [10]

The first step: Simplify the expression with:

\dfrac{x^n}{x^m}=x^{n-m}\\\\(xy)^n=x^ny^n\\\\(x^n)^m=x^{nm}\\\\x^{-n}=\dfrac{1}{x^n}

\left(\dfrac{3a^{-2}b^6}{2a^{-1}b^5}\right)^2=\left(\dfrac{3}{2}a^{-2-(-1)}b^{6-5}\right)^2=\left(\dfrac{3}{2}a^{-1}b^1\right)^2\\\\=\left(\dfrac{3}{2}\right)^2(a^{-1})^2b^2=\dfrac{9}{4}a^{-2}b^2=\dfrac{9b^2}{4a^2}

The second step: Put the values of a = 3 and b = -2 to the expression:

\dfrac{9(-2)^2}{4(3)^2}=\dfrac{(9)(4)}{(4)(9)}=1

<h2>Answer: 1</h2>
4 0
4 years ago
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Jessi wants to buy fencing to place around a new semicircle dog park in her neighborhood. The diameter of the semicircle is 30 f
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3 0
3 years ago
What is the inverse of the function f(x) = 1/4x-12?
Marrrta [24]

Answer:

\huge\boxed{f^{-1}(x)=4x+48}

Step-by-step explanation:

In order to find the inverse of a function, we need to follow a couple of steps.

  • Step 1: Write the function as y=mx+b
  • Step 2: Swap all x and y values
  • Step 3: Solve for y
  • Step 4: Replace y with f^{-1}(x)

We can follow these steps to find the inverse of this function.

Step 1: We can just replace the f(x) with y, making our function y=\frac{1}{4}x-12.

Step 2: We can swap where the x and y values are, making our equation

x = \frac{1}{4}y-12

Step 3: We can now solve for y.

  • x = \frac{1}{4}y-12
  • x + 12 = \frac{1}{4}x
  • 4x+48 =y

We now have the function as y = 4x+48.

Step 4: We can now replace the y with f^{-1}(x).

f^{-1}(x) =4x+48

Therefore the inverse of f(x) = \frac{1}{4}x-12 is f^{-1}(x) =4x+48.

Hope this helped!

8 0
3 years ago
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