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Darya [45]
3 years ago
5

The following transformation occur: ​Trapezoid GHJK is rotated 90°clockwise about the origin, resulting in trapezoid G′H′J′K′ (n

ot shown). Trapezoid G′H′J′K′ is reflected across the x− axis, resulting in trapezoid G′′H′′J′′K′′ (not shown) ​ ​​Drag and drop each of the angles of the transformations into the box with its angle measure. ​
Mathematics
1 answer:
Alik [6]3 years ago
5 0

Answer:

.

Step-by-step explanation:

.

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Solve the following real-life problems.
Anika [276]

Answer:

a) The two numbers are x = 11 and y = 41

b) Leon gets $33, Kokyangwuti gets $16.5, Jill gets $38 and Isaac gets $6.5

c) Elizabet started with $106

Step-by-step explanation:

These problems can be solved by systems of equations

a)

I am going to say that the first number is x and the second number is y

The problem states that the sum of two numbers is 52. So x + y = 52.

The problem also states that one number is three less than quadruple the other number. So y = 4x - 3

We have the following system

1) x + y = 52

2) y = 4x - 3

Replacing 2) in 1)

x + 4x -3 = 52

5x = 55

x = 11

------

y = 4x - 3 = 4(11)-3 = 44-3 = 41

The two numbers are x = 11 and y = 41

b)

I am going to say that x is how much money Leon gets, y is how much Kokyangwuti, z is how much Jill gets and w is how much Isaac gets.

Martha divides $94 amongst her four friends. So x + y + z + w = 94

Leon gets twice as much money as Kokyangwuti. So x = 2y.

Jill gets five more dollars than Leon, so z = 5 + x

Isaac gets ten less dollars than Kokyangwuti, so w = y-10

We have the following system:

1) x + y + z + w = 94

2) x = 2y

3) z = 5 + x

4) w = y - 10

I am going to replace 2) in 3), so we have z = 5 + 2y

Now i am going to replace 2), 3) and 4) in 1), so:

2y + y + 5 + 2y + y - 10 = 94

6y -5 = 94

6y = 99

y = $16.5

From 2): x = 2y = 2*16.5 = $33

From 3) z = 5 + x = 5 + 33 = $38

From 4): w = y - 10 = $16.5-10 = $6.5

So, Leon gets $33, Kokyangwuti gets $16.5, Jill gets $38 and Isaac gets $6.5

c)

Elizabeth spent:

2 shirts for $22.99 each = $45.98

a drink for $2.02 = $2.02

2 books for $16 each = $32

In all, she spent 45.98 + 2.02 + 32 = $80

She has $26 left.

She started with $26 + $80 = $106.

4 0
3 years ago
Determine x in the figure.<br> 74°<br> 2xº
Monica [59]

Answer:

-37

Step-by-step explanation:

Simplifying

74 + 2x = 0

Solving

74 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-74' to each side of the equation.

74 + -74 + 2x = 0 + -74

Combine like terms: 74 + -74 = 0

0 + 2x = 0 + -74

2x = 0 + -74

Combine like terms: 0 + -74 = -74

2x = -74

Divide each side by '2'.

x = -37

Simplifying

x = -37

6 0
2 years ago
Expanded form for 3,029,251
aliina [53]
Try this : <span>3x10^6 + 2x10^4 + 9x10^3 + 2x10^2 + 5x10 + 1</span>
8 0
3 years ago
Read 2 more answers
2. What is the sample proportion of heads in your sample of 40? Report this value to your teacher.
Alexeev081 [22]

Answer:

\frac{18}{40}=0.45

Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.

Step-by-step explanation:

1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.

2) Here are the most common outcomes, as long as we continue on flipping coins.

\frac{18}{40}=0.45

If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5

This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails

S_{80}=0.503\\S_{120}=0.50

6 0
3 years ago
7y+3=3x+11 <br> find x and y
kvasek [131]

Answer:

7y + 3 = 3x + 11

7y = 3x + 11 - 3

7y = 3x + 8

y = 3x + 8 / 7

7y + 3 = 3x + 11

7y + 3 - 11 = 3x

7y - 8 = 3x

x = 7y - 8 / 3

5 0
3 years ago
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