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snow_lady [41]
3 years ago
8

Lucas is riding his bike to the park which is 2 kilometersfrom his house. When he is one-fourth of the way tothe park, it starts

to rain. Lucas turns around and ridesback home. How many meters did Lucas ride?st Practice

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0
Lucas rode 1,000 meters b/c 
2 klm is = to 2000 meters.
and 1/4 of 2000 meters is 500 meters but then he had 
to turn back to go home so that's another 500 meters and in total he rode 1,000 meters.
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Janice Tax, an accountant for Flee Corp., earned $102,700 from January to June. In July she earned $8,000. Assuming a FICA tax r
faust18 [17]

The Federal Insurance Contributions Act (FICA) is made up of two items, Social Security and Medicare taxes. For 2016, the Social Security tax rate is 6.2% on the first $118,500 wages paid. The Medicare tax rate is 1.45% on the first $200,000 and 2.35% above $200,000. Since the total earnings is only $110,700 which is not yet taxable. So there is no taxable earnings yet.

6 0
3 years ago
Identify the coordinates of the vertices of each figure after the similarity transformation.
bija089 [108]

Answer:

After translation:

Translation: (x, y)  →  (x-6, y-8)

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

After dilation:

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

Step-by-step explanation:

Given the vertices of the Quadrilateral WXYZ

  • W(-4, 8)
  • X(-4, 0)
  • Y(-12, 4)
  • Z(-8, 16)

As the rule of translation is given by

Translation: (x, y)  →  (x-6, y-8)

So, after the translation the vertices of Quadrilateral WXYZ will be translated as:

W(-4, 8)  →  (x-6, y-8) ⇒ (-4-6, 8-8) = W'(-10, 0)

X(-4, 0)  →  (x-6, y-8) ⇒ (-4-6, 0-8) = X'(-10, -8)

Y(-12, 4)  →  (x-6, y-8) ⇒ (-12-6, 4-8) = Y'(-18, -4)

Z(-8, 16)  →  (x-6, y-8) ⇒ (-8-6, 16-8) = Z'(-14, 8)

Therefore,

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

Next, the rule of dilation is given by

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W'(-10, 0)  →  (2x, 2y) ⇒ (2(-10), 2(0)) = W'' (-20, 0)  

X'(-4, 0)  →  (2x, 2y) ⇒ (2(-4), 2(0)) = X'' (-8, 0)

Y'(-12, 4)  →  (2x, 2y) ⇒ (2(-12), 2(4)) = Y'' (-24, 8)

Z'(-8, 16)  →  (2x, 2y) ⇒ (2(-8), 2(16)) = Z'' (-16, 32)

Therefore,

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

8 0
3 years ago
What is the equation of the line shown in this graph? <br><br>any links will be reported<br><br>​
Blizzard [7]

Answer:

y = 1

Step-by-step explanation:

Slope is written in the form y=mx+b. Where m is the slope and b is the y-intercept.

When there isn't a slope, as in the line is flat and it isn't moving up or down, you wouldn't write anything for it. You would just write y equals the y-intercept (y = b).

Likewise, if the y-intercept is at (0,0), then you'd only write y equals the slope (y = mx).

Hopefully this makes sense :)

Btw, I also answered in the main comments earlier, so you can check that out as well.

7 0
2 years ago
Need to finish in 2 hrs help please
kkurt [141]
The third one is a point with the first equation.

I had to simplify the second equation.

It simplified to,

y =  -  \frac{1}{4} x - 2
The second one with the above is didn't go through so I'd say no solution.
4 0
3 years ago
Please help with maths!!!
zimovet [89]
It is the angle where it says "A".

8 0
3 years ago
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