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3 years ago

2. measure of an angle that is supplementary to

Mathematics

1 answer:

leonid [27]3 years ago

7 0

Answer: 99°

explanation: first, we need to find angle T. we know that angle T and angle R are vertical angles, which means they’re the same. therefore, we solve the equation for x by doing angle T = angle R:
3x + 36 = 6x - 9
subtract 36 on both sides
3x = 6x - 45
subtract 6 on both sides
-3x = -45
divide both sides by -3
x= 15
then, plug in the value of x in 3x+36 to get angle T:
3(15) + 36= 81°
we found that angle T is 81°.
now, we need to find the supplementary angle of angle T. supplementary angles add up together to have a sum of 180°. to find the supplementary angle, subtract angle T from 180°:
180 - 81 = 99°
there we have the answer!

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The sum of 3 consecutive odd numbers is 183 ?

irina [24]

Answer:

The answer is 61.

Step-by-step explanation:

Let, the numbers are: x, (x+2), (x+4)

Now, x+x+2+x+4 = 183

3x + 6 = 183

3x = 177

x = 59

So, second number would be: (x+2) = (59+2) = 61

6 0

3 years ago

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Consider the initial value problem:

Inessa [10]

Answer:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

Step-by-step explanation:

The given initial value problem is;

$y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2$

Let

$u(t)=y(t)----(2)\\v(t)=y'(t)----(3)$

Differentiating both sides of equation (1) with respect to $t$ , we obtain:

$u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)$

Differentiating both sides of equation (2) with respect to $t$ gives:

$v'(t)=y''(t)----(6)$

From equation (1),

$y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)$

Putting t=0 into equation (2) yields

$u(0)=y(0)\\\implies u(0)=-5$

Also putting t=0 into equation (3)

$u'(0)=y'(0)\\u'(0)=2$

The system of first order equations is:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

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3 years ago

if 3 half-gallon containers of ice cream on sale for $6.69,what is the price for 2 half-gallon containers?

kvv77 [185]

<h3>Answer: $4.46</h3>

===================================================

Work Shown:

3 containers = 6.69 dollars

3/3 containers = 6.69/3 dollars .... divide both sides by 3

1 container = 2.23 dollars

2*(1 container) = 2*(2.23 dollars) ... multiply both sides by 2

2 containers = 4.46 dollars

A shortcut is to start with "3 containers = 6.69 dollars" and multiply both sides by 2/3

Each mention of "container" refers to a half-gallon container.

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3 years ago

Which proportion can you use to find the value of a?

Ugo [173]

<u>Given</u>:

The given triangle is a similar triangle.

The length of the hypotenuse is 18 units.

The length of the leg is a.

The length of the part of the hypotenuse is 16 units.

We need to determine the proportion used to find the value of a.

<u>Proportion to find the value of a:</u>

We shall find the proportion to determine the value of a using the geometric mean leg rule.

Applying the leg rule, we have;

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

Substituting the values of hypotenuse, leg and part, we get;

$\frac{18}{a}=\frac{a}{16}$

Thus, the proportion used to find the value of a is $\frac{18}{a}=\frac{a}{16}$

Hence, Option D is the correct answer.

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3 years ago

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lina2011 [118]

Answer:

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Step-by-step explanation:

10% of 824.99 is 82.499 so all you have to do is 824.99 + 82.499 which will get you 907.48900 and rounding to the nearest hundreth will get you 907.49

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2 years ago

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