All categories

4 years ago

Which solution for the value of x in the figure below is incorrect? Explain. (2 points)

Mathematics

2 answers:

yulyashka [42]4 years ago

8 0

A would be the wrong answer. Bc it didn’t say the degree of the angle

frutty [35]4 years ago

5 0

Answer : The solution for the value of x in the figure below incorrect is, (B) 4x - 2 + 3x + 6 = 180

Step-by-step explanation :

Alternate interior angles : These are the angles in which a pair of parallel lines are cut by tranversal then the alternate interior angles are congruent.

As we know that the alternate interior angles are equal.

And, (4x - 2) & (3x + 6) are alternate interior angles.

Thus, the expression will be:

(4x - 2) = (3x + 6)

4x - 2 = 3x + 6

4x - 3x = 6 + 2

x = 8

Therefore, the value of x is 8.

You might be interested in

In a recent survey 75 of the community favored building a police substation in their neighborlhood. If 20 citizens are chosen. W

Anton [14]

Answer:

Mean = 15

Standard deviation = 1.94

Step-by-step explanation:

We are given the following information:

We treat favoring of building a police substation as a success.

P(Success) = 75% = 0.75

Then the number of citizens follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 20

We have to find the mean and the standard deviation.

$\mu = np = 20(0.75 ) = 15\\\sigma = \sqrt{np(1-p)} = \sqrt{20(0.75)(1-0.75)} = 1.94$

Thus, the mean of favoring the substation is 15 and the standard deviation of favoring substation is 1.94

7 0

3 years ago

What is 23.82 + 7.168

goblinko [34]

Answer:30.988

Step-by-step explanation:

4 0

3 years ago

Will vote brainiest!!!! Please hurryy!!!!!! Have a great day!!!!! Hikgjorh

andreev551 [17]

Answer:

a = - 1.1

Step-by-step explanation:

The condition for a single variable function f(x) to be decreasing is f'(x) < 0.

f(x) = 4/x^2 - 6x + 9

Then, differentiating with respect to x on both sides we get,

f(x) = 4(-2)(1/x^3) - 6 < 0

-8/x^3 - 6 < 0

8/x^3 + 6 > 0

{Dividing both sides with - 1 and hence the inequality sign changes}

8/x^3 > -6

8 > - 6x³ {Multiplying both sides with x³}

6x³ > - 8 {Interchanging the sides}

x^3 > -8/6

⇒ x > - 1.1

So, a = - 1.1

3 0

3 years ago

Read 2 more answers

Identify the number of solutions of the system of linear equations.

azamat

Answer:

Infinitely many solutions

(4y+9 , y , -5y-7)

Step-by-step explanation:

x+ y +z = 2

2x-3y +z = 11

-3x+2y-2z=-13

Ok so I'm going to eliminate a variable to find it later.

I'm going to multiply the top two equations by 2 because when I add each to the third the z variable will get eliminated.

So let's the multiplication by 2 part first:

2x +2y+2z=4

4x- 6y+2z=22

-3x+ 2y-2z=-13

-----------------------Now adding equation 1 to 3 and then also adding equation 2 to 3:

-x+4y+0=-9

x-4y+0 =9

-3x+2y-2z=-13

If I add equation 1 to 2 I get the following system:

0+0+0=0

-3x+2y-2z=13

So anything satisfying this last equation is a solution.

So we are looking for our infinitely many points in terms of y.

(x,y,z)

We need to write x and z in terms of y.

Let's solve for z:

-3x+2y-2z=-13

Add 3x on both sides:

2y-2z=3x-13

Subtract 2y on both sides:

-2z=3x-2y-13

Divide both sides by -2:

z=(3x-2y-13)/-2

Multiply top and bottom by -1:

z=(-3x+2y+13)/2

z=(2y-3x+13)/2

Let's use the first equation:

x+y+z=2

We are going to solve this for z:

Subtract (x+y) on both sides:

z=2-(x+y)

z=2-x-y

Plug into the other equation we solve for z:

2-x-y=(2y-3x+13)/2

Let's solve for x since again we are trying to write x and z in terms of y:

Multiply both sides by 2:

4-2x-2y=2y-3x+13

Subtract 2y on both sides:

4-2x-4y=-3x+13

Subtract 13 on both sides:

-9-2x-4y=-3x

Add 2x on both sides:

-9-4y=-x

Multiply both sides by -1:

9+4y=x

Use symmetric property of equality:

x=9+4y

Use commutative property of addition:

x=4y+9

So now let's go back to that first equation we solved for z.

z=(2y-3x+13)/2

We are going to replace x with (4y+9):

z=(2y-3(4y+9)+13)/2

Distribute:

z=(2y-12y-27+13)/2

Combine like terms:

z=(-10y-14)/2

z=-5y-7

So the solution in terms of y is:

(4y+9 , y , -5y-7).

Let's check it:

It must satisfy each of the following:

x+ y +z = 2

2x-3y +z = 11

-3x+2y-2z=-13

------------------------------------------

Checking equation 1:

(4y+9)+y+(-5y-7) =2

Combine like terms:

(4y+y+-5y)+(9+-7)=2

(0y)+(2)=2

0+2=2

2=2

The point satisfies the first equation.

Checking equation 2:

2(4y+9)-3y+(-5y-7)=11

Distribute:

8y+18-3y-5y-7=11

Combine like terms:

(8y-3y-5y)+(18-7)=11

(0y)+11=11

0+11=11

11=11

The point satisfies this equation 2.

Checking last equation:

-3(4y+9)+2y-2(-5y-7)=-13

Distribute:

-12y-27+2y+10y+14=-13

Combine like terms:

(-12y+2y+10y)+(-27+14)=-13

(0y)+(-13)=-13

0+-13=-13

-13=-13

So it checks out for all three equations.

Therefore we have verified the following point is a solution to all equations:

(4y+9 , y , -5y-7).

4 0

4 years ago

In a third area, the number of species of wildflowers is expected to grow according to the following description. “The initial a

ikadub [295]

Answer:

Linear

Step-by-step explanation:

If you graph this, you start at 1500 on the y-axis. Every time the x-axis increases by 1, the y-axis increases by 200. This forms a straight line, making it exponential since it increases by a constat amount.

7 0

4 years ago