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3 years ago

Two angles are supplementary. If one angle measures twice the other, and the number of degrees in the smaller angle.

Mathematics

1 answer:

Svetllana [295]3 years ago

4 0

Answer:

60 Degrees

Step-by-step explanation:

Supplementary means it equals 180 together, so you divide it by 3 because the one is twice as big and you take the smaller answer

$\frac{180}{3} =60$

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Adding negative and positive numbers.

vichka [17]

When you add 2 negatives you get a negative for example -5+-15= -20 when you add a positive to a negative it increases the number for example -20+7= -13. Hope this helps

7 0

3 years ago

Read 2 more answers

Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53

Romashka [77]

Given:

The data set is:

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

To find:

The median of the given data set.

Solution:

We have,

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

Arrange the data values in ascending order.

40, 40, 47, 49, 50, 53, 55, 57, 63, 76

Here, the number of observations is 10 which is an even number. So, the median is:

$Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}$

Putting n=10, we get

$Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}$

$Median=\dfrac{5\text{th term}+6\text{th term}}{2}$

From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.

$Median=\dfrac{50+53}{2}$

$Median=\dfrac{103}{2}$

$Median=51.5$

Therefore, the median of the given data set is 51.5.

4 0

3 years ago

Find the factorization of 72 and 100

REY [17]

72- 8x9 - 4 x 4 and 3x3- 2x2x3x3
100-10x10

4 0

3 years ago

A party is thrown where 25 tables are used. Each table either sits 4 people or 6 people. A total of 116 people can be sat at the

Soloha48 [4]

Answer:

(a) 4 y + 6 s = 116 represents the given situation.

(b)There are 8 six- person tables at the party.

Step-by-step explanation:

Here, the total number of tables = 25

Let y : Represent the number of four person tables.

s : Represents the number of six person tables.

Total people seated at all tables = 116

Now, the number of people seated at table of 4 = y x 4 = 4 y

the number of people seated at table of 6 = s x 6 = 6 s

(a) Total People Seated = People seated at { 4- table + 6 table}

⇒ 116 = 4 y + 6 s

Hence, 4 y + 6 s = 116 represents the given situation.

(b) Total tables are 25. ⇒ s + y = 25

Hence, the givens system of equations are:

4 y + 6 s = 116 ........ (1)

s + y = 25 ............ (2)

Solving the above system, we get, substitute y = 25 - s in (1)

4 y + 6 s = 116 ⇒ 4(25-s) + 6s = 116

or, 100 - 4s + 6s = 116

or. 2s = 16

or, s = 16 / 2 = 8 ⇒ s = 8

Hence, there are 8 six- person tables at the party.

3 0

3 years ago

Prove algebraically what type of function this is (even, odd, or neither).<br>f(x) = x^6 – x^4

Savatey [412]

Let's see.

We have function $f(x)=x^6-x^4$ . We have to determine if the function is even or odd or neither.

We can find this out in many ways but the assignment specifically asks to prove this algebraically.

Function is even if $f(x)=f(-x)$ , so, $x^6-x^4=(-x)^6-(-x)^4$

Which is true since negative raised to an even power is positive to that same number.

Similarly, function is odd if $f(x)=-f(-x)$ , that is,

$x^6-x^4\neq-((-x)^6-(-x)^4)$ .

So we have prooved that function $f(x)$ is an even function not an odd function and therefore also not neither.

Hope this helps.

3 0

4 years ago