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4 years ago

TUV and MNO are supplementary. m TUV=75 and m MNO=(5x).

1 answer:

muminat4 years ago

8 0

Supplementary means that the two angles add up to 180 degrees.
If mTUV= 75, and mMNO = (5x)
we can make an equation with them
75 + (5x) = 180
subtract 75 from both sides
(5x) = 105
now divide both sides by 5 to isolate the x
x = 21
now plug the value for x, 21, back into the original
This means that m MNO = 5(21)
do the multiplication
That equals 105 degrees.

Just to check plug it into the supplementary angle equation
180 ? 105 + 75
180 = 180

SO, mMNO equals 105 degrees.

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3 years ago

Could anyone help me with this whole question? The bottom drop-down question options are, does or does not

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Answer:Values for the coefficient in the product k:

$a=b=c=d=3*10^8$ , so the first four boxes should be filled with the number "3"

Drop down arrow: "does"

Step-by-step explanation:

We perform all the products of wavelength time frequency indicated for the column of the quantity "k":

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This means that the two quantities are associated via inverse proportionality. As seen in the equation below, if the quantities "x" and "y" are related by inverse proportionality (shown as one equals a constant "A" divided by the other variable), their product x*y will give that constant value "A" (which in our case is $3*10^8$ .

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4 0

3 years ago

Stacy is selling tickets for the school play. She has a total of 200 seats available, and there will be two types of tickets off

Ganezh [65]

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Step-by-step explanation:

Stacy is selling tickets for the school play

She has a total of 200 seats available, and there will be two types of tickets offered, child and adult tickets
She sold each child ticket for $6 , each adult ticket for $10 , and made a total of $1704

We need to find how many of each ticket she sold

Assume that x is the number of child tickets and y is the number of the adult tickets

∵ She has a total of 200 seats available

∵ She sold x child tickets

∵ She sold y adult tickets

- Add x and y, then equate the sum by 200

∴ x + y = 200 ⇒ (1)

∵ She sold each child ticket for $6

∵ She sold each adult ticket for $10

∵ She made a total of $1704

- Multiply x by 6 and y by 10, then add the products and

equate them by 1704

∴ 6x + 10y = 1704 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -10 to eliminate y

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∴ x = 74

- Substitute the value of x in equation (1) to find y

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- Subtract 74 from both sides

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She sold 74 child tickets and 126 adult tickets

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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