we know that
The scale factor is equal to

we have

substitute


therefore
<u>the answer is</u>

All rectangles has parallel lines.
All rectangles have 4 right angles.
All rectangles have 4 vertices, and 4 sides.
The worker's expected weekly bonus is $30.0
<h3>How to determine the worker's expected weekly bonus?</h3>
The amounts and the probabilities are given as:
x $10 $50
P(x) 0.75 0.25
The worker's expected weekly bonus is calculated as:

So, we have:
E(x) = $10 * 0.75 + $50 * 0.25
Evaluate the product
E(x) = $17.5 + $12.5
Evaluate the sum
E(x) = $30.0
Hence, the worker's expected weekly bonus is $30.0
Read more about expected values at:
brainly.com/question/15858152
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Answer:

Step-by-step explanation:

Combine like terms


The equation given in the question has one unknown variable and so the value of k can definitely be found.
4/9(k + 4/7) = 3 1/3
4/9[(7k + 4)] = 10/3
4/(63k + 36) = 10/3
4 * 3 = 10 * (63k + 36)
12 = 630k + 360
12 - 360 = 630k
- 348 = 630k
Reversing both sides we get
630k = - 348
k = - 348/630
= - 174/315
= - 58/105
So the value of K comes out to be - 58/105 and it is not possible to simplify it further.