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3 years ago

Which angles are alternate interior angles?

Mathematics

1 answer:

netineya [11]3 years ago

7 0

Answer:

Angles RSQ and WVX are alternate interior angles.

Hope this helps!

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A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are

kondor19780726 [428]

Answer: The number of different combinations of 2 vegetables are possible = 15 .

Step-by-step explanation:

In Mathematics , the number of combinations of selecting r values out of n values = $^nC_r=\dfrac{n!}{r!(n-r)!}$

Given : Number of available vegetables = 6

Then, the number of different combinations of 2 vegetables are possible will be :

$^6C_2=\dfrac{6!}{2!(6-2)!}=\dfrac{6\times5\times4!}{2\times4!}=15$

Hence , the number of different combinations of 2 vegetables are possible = 15 .

5 0

3 years ago

Solve for x use the completing the square method x^2+6x=5

Mrac [35]

Answer:

$x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}$

Step-by-step explanation:

$x^{2}$ +6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power: 3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

$x^{2}$ +6x+9-9-5=0

we have:

$(x+3)^{2}$ -9-5=0

$(x+3)^{2}$ = 14

lets apply square root on both sides of the equation:

$\sqrt{(x+3)^{2}}=\sqrt{14}$

we know:

$\sqrt{a^{2}} = abs(a)$

so we have:

abs(x+3)= $\sqrt{14}$

from where two solutions are obtained

$x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}$

finally we have:

$x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}$

5 0

3 years ago

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A rectangular corral is enclosed using 120 m of fencing. The corral uses the side of a barn as one of its sides, so fencing is r

Yuliya22 [10]

The dimensions would be 40 m by 40 m.

To maximize area and minimize perimeter we make the dimensions as close to equal as possible. Since we only need fencing on 3 sides, 120/3 = 40; we can use 40 for each side.

8 0

3 years ago

What is the area of the triangle plz help

JulsSmile [24]

3x4x1/2= 6inches Multiply the base by the height and after multiply by one half

3 0

3 years ago

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150 students at York Middle School took part in the school clean up. This is 30% of

Step2247 [10]

Answer:

500 students.

Step-by-step explanation:

Since 150 students make up 30% of the school's student population, the equation 150/30=x/100. In order to find x, cross multiply x*30 and 150*100. Then set the two results equal to each other and solve. 15000=30x. 15000/30=500. x=500.

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2 years ago

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