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atroni [7]
3 years ago
13

Ava is 23 cm taller than Olivia, and Olivia is half the height of Lucas. If Lucas is 1.78 m tall, how tall are Ava and Olivia? E

xpress their height in centimeters
Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0
Ava is 1.09 and Olivia is 0.86
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tgerggeergegrergeger

Step-by-step explanation:

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Need help thanks!! Don't know how to solve problem
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The measure of the angle formed by 2 chords  that intersect inside the circle is 1/2<span> the sum of the chords' intercepted arcs. 
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(83 + x)/2 = 107
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83 + x = 214
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3 years ago
If g is the inverse of the function f(x) = sqrt(x - 6) - 10 , which of the following is g?
iren2701 [21]

Answer:

  • g(x) = x² + 20x + 106

Step-by-step explanation:

<u>Given:</u>

  • f(x) =\sqrt{x-6}-10

If g(x) is the inverse of f(x), find it.

<u>Swap x with g(x) and f(x) with x:</u>

  • x =\sqrt{g(x)-6}-10

<u>Solve for g(x):</u>

  • x + 10 = \sqrt{g(x)-6}
  • (x+10)^2=g(x)-6
  • g(x) = x^2+20x + 100+6
  • g(x) = x^2+20x + 106

3 0
2 years ago
Describe a similarity transformation that maps △ABC
PIT_PIT [208]

Let's start with a picture.

We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST.  Both have slope -1.

If we look at the difference of points (technically called vectors but we don't have to go there) we get

C-B=(-2,2)

T-S=(1,-1)

Without further calculation we can see T-S is half the length of C-B.

The problem asks for a dilation followed by a reflection.   We know the dilation scale is k=1/2 because the new triangle is half the size.  

After dilation we get A'B'C':

A'(3,2), B'(-1,0), C'(-2,1)

We see now we need a reflection that flips the coordinates x and y.  That's the +45° line through the origin, namely y=x.

Answer: k=1/2, y=x

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Digiron [165]

Answer:

(x+1)(x+2)

Step-by-step explanation:

x^2 + 3x + 2

find what multiples to 2 and adds to 3

Factors of 2 are 1 and 2, 2 + 1 = 3.

so the binomial would be (x+1)(x+2)

and then you would need to do FOIL to check

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Inner: x * 1 = x

Last: 1 * 2 = 2

Then simplify: x^2 + 2x + x + 2

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