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n200080 [17]
3 years ago
6

YØLØ ♚ Plz help me i will mark brainliest

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0

Answer:

10

Step-by-step explanation:I had this

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Why is 15 not a prime number
masya89 [10]

Answer:

Because

Step-by-step explanation:

It goes into 1,3,5 and 15

A prime number only goes into 1 and itself

8 0
3 years ago
Read 2 more answers
Question included in the image - geometry problem.
iren [92.7K]

Answer:

y = 116°

Step-by-step explanation:

Given that <em>L₁ </em>|| <em>L</em>₂:

The <u>exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the two opposite and non-adjacent remote interior angles.  

Also, ∠y° and ∠2x° are <u>same-side interior angles</u> formed by the intersection of the <em>hypotenuse</em> of the triangle that acts as a transversal to the parallel lines, <em>L₁ </em>and <em>L</em>₂.  Given that ∠y° and ∠2x° are <u>same-side interior angles</u>, then it means that they are the supplements of each other, such that the sum of their measures is 180°.  

Now that we have established these definitions, we can proceed with the solution.

<u>Equation 1</u>:  ∠y° + ∠2x° = 180° ⇒ Same-side interior angles

<u>Equation 2</u>:  ∠y° =  ∠x° + ∠84°  ⇒ exterior angle theorem

Substitute the value of m∠y° from Equation 2 into Equation 1 to solve for the value of x:

∠y° + ∠2x° = 180°

∠x° +  ∠84° + 2x° = 180°

Combine like terms:

∠3x° + ∠84° = 180°

Subtract ∠84° from both sides:

∠3x° + ∠84° - ∠84° = 180° -∠84°

∠3x° = 180° - ∠84°

∠3x° = 96°

Divide both sides by 3 to solve for x:

\frac{3x}{3} = \frac{96}{3}

∠x° = 32°

Substitute the value of x into Equation 2 to solve for y:

∠y° =  ∠x° + ∠84°

∠y° =  ∠32° + ∠84°

∠y° =  116°

Verify whether the values for x and y are correct by substituting their values into Equation 1 and 2:

<h3>Equation 1:</h3>

∠y° + ∠2x° = 180°

116° + 2(32)° = 180°

116° + 64° = 180°

180° = 180° (True statement).

<h3>Equation 2:</h3>

∠y° =  ∠x° + ∠84°

116° = 32° + 84°

116°  = 116°  (True statement)

Therefore, the correct answer is: y = 116°.

5 0
2 years ago
Factoring quadratic with a common factor Factor completely 2x^2-18x+36
rodikova [14]

Answer:

2 {x}^{2}  - 18x + 36 \\ 2 {x}^{2}  - 12x - 6x + 36 \\ 2 x(x - 6) - 6(x - 6) \\ (2x - 6)(x - 6)

6 0
3 years ago
Exercise 10.10.2: Distributing a coin collection. About A man is distributing his coin collection with 35 coins to his five gran
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Given that:

all coins are same;

The same implies that the number of the non-negative integral solution of the equation:

x_1+x_2+x_3+x_4+x_5 = 35

x_1 > 0 ;  \ \ \ x_1 \  \varepsilon  \ Z

Thus, the number of the non-negative integral solution is:

^{(35+3-1)}C_{5-1} = ^{39}C_4

(b)

Here all coins are distinct.

So; the number of distribution appears to be an equal number of ways in arranging 35 different objects as well as 5 - 1 - 4 identical objects

i.e.

= \dfrac{(35+4)!}{4!}

= \dfrac{39!}{4!}

(c)

Here; provided that the coins are the same and each grandchild gets the same.

Then;

x_1+x_2+x_3+x_4+x_5 = 35

x_1 > 0 ;  \ \ \ x_1 \  \varepsilon  \ Z

x_1=x_2=x_3=x_4=x_5

5x_1 = 35\\\\ x_1= \dfrac{35}{5} \\ \\  x_1= 7

Thus, each child will get 7 coins

(d)

Here; we need to divide the 35 coins into 5 groups, this process will be followed by distributing the coin.

The number of ways to group them into 5 groups = \dfrac{35!}{(7!)^55!}

Now, distributing them, we have:

\mathbf{\dfrac{35!}{(7!)^55!}  \times 5!= \dfrac{35!}{(7!)^5}}

3 0
2 years ago
See the pic below please! AND SHOW WORK!
irinina [24]

Well I don't know !
Let's check out the choices:

A).    3a - 4b = 21,  a=0, b=7

         3(0) - 4(7) = 21

             0  -  28  = 21    Nope.  That's not true.


B).  3a - 4b = 21,  a=-3,  b=2

     3(-3) - 4(-2) = 21

       -9    +  8  = 21

             -1    = 21      Nope.  That's not right.


C).  3a - 4b = 21,    a=-2,  b=-3

      3(-2) - 4(-3) = 21

         -6  + 12  = 21

                 6  =  21          Nope.  That's not it.

Only one choice left.
This one had better be it:

D).  3a - 4b = 21,    a=7,  b=0

       3(7) - 4(0) = 21

         21 -  0    = 21

               21  =  21            Yay !   That's it !
 
7 0
3 years ago
Read 2 more answers
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