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Feliz [49]
3 years ago
5

22) Two students are taking a math test. After 5 minutes, one student is done 1/3 and the

Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0

Answer:

  • 1/12

Step-by-step explanation:

<u>We need to find the difference in progress:</u>

  • 1/3 - 2/8 =
  • 1/3 - 1/4 =
  • 4/12 - 3/12 =
  • 1/12

The first student is 1/12 ahead

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Given: △RST ~ △VWX
tatiyna

Answer:

Given

Step-by-step explanation:

Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.

Comparing △RST and △VWX;

TU ~ XY (given altitudes of the triangles)

<TUS = <XYW (all right angles are congruent)

<UTS ≅ <YXW (angle property of similar triangles)

Thus;

ΔTUS ≅ ΔXYW (congruent property of similar triangles)

<UTS + <TUS + < UST = <YXW + <XTW + <XWY = 180^{0} (sum of angles in a triangle)

Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX

So that:

\frac{TU}{XY} = \frac{US}{YW} (corresponding side length proportion)

4 0
3 years ago
A dance floor has a perimeter of 60 meters. The dance floor is 20 meters long. Write an equation to represent the perimeter of t
Jet001 [13]

Answer:

20 meters long and 10 meters wide

Step-by-step explanation:

since the perimeter is 60 and one side of it is 20 then you multiply 20 by 2, 40, to get both sides. Then you subtract 40 from 60 leaving the other two sides as 20, meaning that if you divide 20 by 2 you can find that the width of the dance floor is 10 meters long.

6 0
3 years ago
If g(x)=a x f(x+b) how is f(x) transformed to get g(x)
guajiro [1.7K]

Answer:

Ok, we know that g(x) = a*f(x + b), we want to find all the transformations that we must apply to f(x) to construct g(x).

Let's assume at the beggining that T2(T1(f(x))) = g(x), and start appliying the transformations.

First, we have a horizontal shift.

If we want to move the graph A (A positive) units to the right, we should have:

g(x) = f(x - A)

in this case we have

g(x) = f(x + b) = f(x - (-b))

So we have a shift of -b units to the right, or b units to the left.

Second:

We have a vertical contraction/dilation.

if we have a function f(x), a compression/dilation of scale factor A is written as:

g(x) = A*f(x)

if A > 1, we have a dilation.

if 0 < A < 1, we have a contraction.

In this case the scale factor is a.

g(x) = a*f(x).

Now, applying both transformations we have:

> shift of b units to the left.

> contraction/dilation of scale factor a.

g(x) = a*f(x +b)

4 0
3 years ago
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Answer:

3 adjacent

4. complementary

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3 years ago
You have 6 green marbles, 23 blue marbles, and 18 red marbles. what is the probability of choosing a red marble. express your an
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The probability of choosing a red marble is 18/47.
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