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podryga [215]
4 years ago
12

Use the marked parallel lines to find the value of y in the diagram below.

Mathematics
1 answer:
wolverine [178]4 years ago
6 0
3x - 45 = 2x + 5
3x - 2x = 5 + 45
x = 50

4y - 1 + 2x + 5 = 180
4y + 2(50) + 4 = 180
4y = 180 - 4 - 100 = 76
y = 76/4 = 19.

y = 19
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24 percent of the swim team members are new on the team. how many members are new?
SpyIntel [72]

Answer:

24/100 x 25 =6

Step-by-step explanation:

6 0
3 years ago
Find the center of the equation 4x2 + y2 + 8%-5= 0.<br> O (-1,0)<br> (1,0)<br> (2.0)
balu736 [363]
Vertex: 0,4.92
focus: 0,4.8575
axis of symmetry: x = 0
directrix: y = 4.9825
3 0
3 years ago
A baseball collector took inventory of all of his baseball cards along with the value of each card. The box plot represents the
love history [14]

Answer: less than 25%

Step-by-step explanation:

The box plot can be read as follows:

The first black dot is the minimum value.

The first half of the rectangle is the lower quartile.

The line that separates the two rectangles is the median.

The second half of the rectangle is the upper quartile

The final point is the maximum.

Knowing that each quartile represents about the 25% of the elements for the set, we can see that both lower and upper quartile (and the 25% of the elements that come after the upper quartile) cost more than $45.

Then we know that at least the (25% + 25% + 25%) = 75% of the cards in the collection cost more than $45.

And we also have elements that are not in the lower quartile that cost more than $45, but we can not determine the percentage that they represent.

So we can only conclude that more than the 75% of the collection costs more than $45.

Now we want to know the percentage of the baseball cards valued at less than $45.

So if more than 75% is valued at more than $45.

Then less than 25% is valued at less than $25.

8 0
3 years ago
A jar of marbles contains 7 blue marbles, 12 yellow marbles, 8 green marbles, and 5 red marbles. Use this information to answer
AnnZ [28]
Total marbles = 7 + 12 + 8 + 5 = 32
Green marbles = 8
Yellow marbles = 12

P(green ,then yellow) = (8/32)(12/32) = 3/32

Answer: The probability is 3/32
8 0
3 years ago
Simplify the imaginary number sqr -75
m_a_m_a [10]

Answer:

5i\sqrt{3}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

and \sqrt{-1} = i

Given

\sqrt{-75}

= \sqrt{25(3)(-1)}

= \sqrt{25}  × \sqrt{3} × \sqrt{-1}

= 5 × \sqrt{3} × i

= 5i\sqrt{3}

3 0
3 years ago
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