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Ainat [17]
3 years ago
5

Lines AB and CD intersect at E, mLAED = 110,

Mathematics
2 answers:
IgorC [24]3 years ago
7 0

Answer:

x = 10, y = 20

Step-by-step explanation:

Form a system of equations:

From the picture at the bottom you can see that vertical angles are equal, so:

3x + 2y = 70

Then, since the angles all together will add up to 360, you can do

3x+2y+9x+y+70+9x+y=360

21x+4y+70=360

subtract 70 from both sides

21x + 4y = 290

With the equation 3x + 2y = 70, multiply both sides by 2

6x+4y=140

Subtract the two equations:

15x=150\\x=10

Plug this into one of the original equations

30+2y=70\\2y = 40\\y=20

lakkis [162]3 years ago
5 0

Answer:

45,698,09864,58586,96403

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Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people
AlekseyPX

Answer:

No

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = 6\frac{1}{2}

Amount of one serving contains = \frac{3}{4} cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}

Therefore, total number of servings available as per the given quantities:

\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.

7 0
3 years ago
Which is the better deal?
aliina [53]

Answer:

36 oz

Step-by-step explanation:

Get the other options down to 12oz units for their price and then you can compare which one is the cheapest for 12oz.

12oz = $1.99

36oz/3 = 12oz   so $2.59/3   = $ .86

48oz/4= 12oz   so $3.99/4  = $1.00

60oz/5= 12oz   so $4.59/5 = $ .92

So looking at the breakdown, the 36oz one is the cheapest because for that price for a third of it comes out to .86 cents.

3 0
3 years ago
Find the equation of a line that intersects with y=2x-1 on the y-axis and is parallel to y=-x.
brilliants [131]
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3 years ago
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