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3 years ago

If two are supplementary and one of the angles measure 62 what is the measure of the other angle

1 answer:

8 0

Supplementary angles add to equal 180 degrees. If two angles are supplements of each other and one of the angles measures 62 degrees, you can set its sum with the unknown angle, x, equal to 180 and solve for the unknown angle x.

Equation:
180 = x + 62

Subtract 62 from both sides:
118 = x

Answer:
The measure of the other angle is 118°.

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Two friends are collecting stuffed animals. Veronica has 5 more than double the number of stutted

STatiana [176]

v + m = 32 and v = 5 + 2m are the equations that are used to determine m, the number of stuffed animals Mariposa has

Number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23

<h3><u>Solution:</u></h3>

Let "v" be the number of stuffed animals with Veronica

Let "m" be the number of stuffed animals with Mariposa

Given that,

Together, they have 32 stuffed animals

Therefore,

v + m = 32 --------- eqn 1

Veronica has 5 more than double the number of stutted animals as her friend Mariposa

Therefore,

Number of stuffed animals with Veronica = 5 + 2(number of stuffed animals with Mariposa)

v = 5 + 2m ---------- eqn 2

Thus eqn 1 and eqn 2 can be used to determine m, the number of stuffed animals Mariposa has

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

5 + 2m + m = 32

5 + 3m = 32

3m = 32 - 5

3m = 27

Substitute m = 9 in eqn 2

v = 5 + 2(9)

v = 5 + 18

Thus number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23

5 0

3 years ago

0.05 is 1 tenth the value of

Ganezh [65]

The answer is .5. That is the answer because .5/10 = .05.

8 0

3 years ago

What is 11 1/2 + 10 11/16=

ahrayia [7]

Hey!

To solve this equation, we must first convert the mixed numbers into improper fractions. To do that we'll multiply the denominator by the whole number and add the total to the numerator.

<em>Original Equation :</em>

$11\frac{1}{2} + 10\frac{11}{16} = ?$

<em>New Equation {Converted Mixed Numbers Into Improper Fractions} :</em>

$\frac{23}{2} + \frac{171}{16} = ?$

Now that we've successfully changed our equation, we'll move onto the next step. Next we'll have change the fractions one more time so that the denominators are the same. To do that we'll multiply two by eight to get sixteen. We'll also be multiplying the top portion of the fraction by eight, because whatever you do to the bottom must also be done to the top; And vise versa.

<em>Fraction Conversion :</em>

$\frac{23*8}{2*8} = \frac{184}{16}$

So, now that we have our new fraction we can go ahead and plug that into our equation so we can start adding. Remember, we don't add the denominators, just the numerators.

<em>Old Equation :</em>

$\frac{23}{2} + \frac{171}{16} = ?$

<em>New Equation {Input New Fraction With Common Denominator} :</em>

$\frac{184}{16} +\frac{171}{16} = ?$

<em>Solution {New Equation Solved} :</em>

$\frac{355}{16}$

Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form. In other words, they don't want it in the form of an improper fraction. They'd most likely rather have it as a mixed number.

<em>New Solution {Converted to a Mixed Number} :</em>

$22\frac{3}{16}$

Since the fraction cannot be simplified anymore, this should be our final answer.

<em>So, this means that the answer to the equation is </em> $22\frac{3}{16}$ .

Hope this helps!

- Lindsey Frazier ♥

5 0

3 years ago

Read 2 more answers

Determine if the following function is even, odd, or neither.. . f(x) = –9x^4 + 5x + 3. Show step-by-step solution.

Simora [160]

Answer:

96/45

Step-by-step explanation:

847748

38303[

4 0

3 years ago

Any help. (5 marks)

anyanavicka [17]

Population of England in 2003 = 383 * 130,281 = 49,897,623

In 2008 this is 0.84 * 61,000,000 = 51,240,000

Increase = 51,240,000 - 49,897,623 = 1,342,377

Answer is 1,300,000 to 2 significant figures.

6 0

3 years ago