Given that you have 2 parallel lines cut by a transversal, what is the measure of angle 2?

Answer:

3 in this case is equal to 12/4 (as that simplifies to get 3/1, which is simply 3). Adding this to 3/4, you get 15/4.

The reciprocal of 15/4 is 4/15.

The product of these two is 60/60, or 1

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

The slope of the line is 1/2, so the answer is 0.5

Answer:

Point of intersection is (6,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x           y           Difference [tex](y_2-y_1)[/tex]

1          15                      -

2         25              25 - 15 = 10

3         35              35 - 25 = 10

4         45              45 - 35 = 10

There is a common difference of 10 in each successive term of y.

Therefore, table represents a linear function.

Let the equation of the linear function is,

y = mx + b

Here 'm' = slope of the line

b = y-intercept

Since, two points (1, 15) and (2, 25) lie on the graph of the function,

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                        m = [tex]\frac{25-15}{2-1}[/tex]

                        m = 10

Equation of the line will be,

y = 10x + b

For the value of 'b' (y-intercept),

Since, (1, 15) lies on the graph of the linear function,

15 = 10(1) + b

b = 15 - 10

b = 5

Equation of the line on the graph will be,

y = 10x + 5

Now we can determine the output value of the function with the input values, x = 5, 6 and 7

[tex]y_1[/tex] = 10(5) + 5 = 55

[tex]y_2[/tex] = 10(6) + 5 = 65

[tex]y_3[/tex] = 10(7) + 5 = 75

Answer:

[tex]\huge\boxed{\sf 13 , 15 , 17}[/tex]

Step-by-step explanation:

Let x , x+2 and x+4 be the consecutive numbers

Given Condition:

x + x + 2 + x + 4 = 45

3x + 6 = 45

Subtract 6 to both sides

3x = 45 - 6

3x = 39

Dividing both sides by 3

x = 13

So,

The numbers are:

x = 13

x + 2 = 13 + 2 = 15

x + 4 = 13 + 4 = 17

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

let the number be n

n+n+2+n+4 =45

3n+6=45

3n+6+6=45-6

        3n/3=39/3

             n=13

n=13

n+2=13+2

      =15

n+4=13+4

     =17

13,15,17

Step-by-step explanation:

pliz mark brainliest

Step-by-step explanation:

so sorry

don't know but please mark me as brainliest please

Answer:

5 is the answer

Step-by-step explanation:

because i said it was

Simultaneous equations can be solved by substitution, elimination, graphs and by matrices.

The values of x, y and z are:

The equations are given as:

[tex]\mathbf{-x - y -z = -8}[/tex]

[tex]\mathbf{-4x + 4y +5z = 7}[/tex]

[tex]\mathbf{2x +2z = 4}[/tex]

Make z the subject in [tex]\mathbf{2x +2z = 4}[/tex]

[tex]\mathbf{2z = 4 - 2x}[/tex]

Divide by 2

[tex]\mathbf{z = 2 - x}[/tex]

Substitute [tex]\mathbf{z = 2 - x}[/tex] in [tex]\mathbf{-x - y -z = -8}[/tex]

[tex]\mathbf{-x - y -z = -8}[/tex]

[tex]\mathbf{-x - y - (2-x) = -8}[/tex]

[tex]\mathbf{-x - y - 2+x = -8}[/tex]

Cancel out common terms

[tex]\mathbf{- y - 2 = -8}[/tex]

Add 2 to both sides

[tex]\mathbf{- y = -8+2}[/tex]

[tex]\mathbf{- y = -6}[/tex]

Divide by -1

[tex]\mathbf{y = 6}[/tex]

Substitute [tex]\mathbf{z = 2 - x}\mathbf{\ and\ y = 6}[/tex] in [tex]\mathbf{-4x + 4y +5z = 7}[/tex]

[tex]\mathbf{-4x + 4 \times 6 + 5 \times (2 - x) = 7}[/tex]

[tex]\mathbf{-4x + 24 + 5 \times (2 - x) = 7}[/tex]

Open brackets

[tex]\mathbf{-4x + 24 + 10 - 5x = 7}[/tex]

Collect like terms

[tex]\mathbf{-4x - 5x =- 24 - 10 + 7}[/tex]

[tex]\mathbf{-9x =-27}[/tex]

Divide through by -9

[tex]\mathbf{x =3}[/tex]

Recall that: [tex]\mathbf{z = 2 - x}[/tex]

So, we have:

[tex]\mathbf{z = 2-3}[/tex]

[tex]\mathbf{z = -1}[/tex]

Hence, the results are:

[tex]\mathbf{x =3}[/tex]

[tex]\mathbf{y = 6}[/tex]

[tex]\mathbf{z = -1}[/tex]

Read more about simultaneous equations at:

https://brainly.com/question/10852714

Answer:

x= 94

Step-by-step explanation:

Answer:

d, or 63 is the answer

Answer:

132

Step-by-step explanation:

area of square =4l

= 4× 11

=44

total length =44×3

=132m

the answer is supposed to be 132 at the most of a

for b it is 165

Answer:

a=132

b=165

Step-by-step explanation:

,

Answer:

The point E is located at (0, -7)

Given:

Consider the inequality is [tex]|x+3|<5[/tex] and its solution set is [tex]-8<x<2[/tex].

To find:

The statement that verify the solution set.

Solution:

Any value into the inequality form the solution set [tex]-8<x<2[/tex], will create a true statement and any value into the inequality not form the solution set [tex]-8<x<2[/tex], will create a false statement.

To verify the solution set set, we need to put any value form solution set into the given inequality.

Substituting a value into the inequality from the solution set, such as -2, will create a true statement.

Therefore, the correct option is A.

Answer:

1 and 4

Step-by-step explanation:

got it right on edge

Answer:

8956hfjfjffjfjfjdsjsjsjsjdj

Answer:

-.932

Step-by-step explanation:

-.932 has a strong negative correlation.

so line ab is parrallel and so is xy it is asking you to prove that angle 8 + angle 9 = 180

so since they are parrallel 8 is equal to 12 or you could do 9 is equal to 5 then you can see that they sit on the same straight line so angle9 + angle8 = 180 degrees

Answer:

3 and 4

Step-by-step explanation:

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Taking antilogs, the equation becomes ...

  x(x +3) = 10

  x^2 +3x +2.25 = 12.25 . . . . add (3/2)² to complete the square

  (x +1.5)² = 3.5² . . . . write as squares

  x = -1.5 +3.5 . . . . . . take the positive square root*

  x = 2

_____

* The negative square root gives an extraneous solution (x=-5).

__

I find that using a graphing calculator with the original equation avoids extraneous solutions. Here we transform the equation to the form f(x) = 0, so the x-intercept is the value of x we seek.

Answer:

1) (2,10) is solution of y=4x+2

2) (7,5) is not solution of 2x+y=5

3) (-3,3) is not solution of y=6-x

4) (10,-1) is solution of x+8y=2

5) (2,21) is not solution of y=6x+7

6) (6,-8) is solution of 3x-y=26

Step-by-step explanation:

1) y=4x+2 (2,10)

Put x=2 and y=10 and check if both sides are equal or not

10=4(2)+2

10=8+2

10=10

So, (2,10) is solution of y=4x+2

2) 2x+y=5 (7,5)

Put x=7 and y=5 and check if both sides are equal or not

2x+y=5

2(7)+5=5

14+5=5

19≠5

So, (7,5) is not solution of 2x+y=5

3) y=6-x (-3,3)

Put x=-3 and y=3 and check if both sides are equal or not

y=6-x

3=6-(-3)

3=6+3

3≠9

So, (-3,3) is not solution of y=6-x

4) x+8y=2 (10,-1)

Put x=10 and y=-1 and check if both sides are equal or not

x+8y=2

10+8(-1)=2

10-8=2

2=2

So, (10,-1) is solution of x+8y=2

5) y=6x+7 (2,21)

Put x=2 and y=21 and check if both sides are equal or not

y=6x+7

21=6(2)+7

21=12+7

21≠19

So, (2,21) is not solution of y=6x+7

6) 3x-y=26 (6,-8)

Put x=6 and y=-8 and check if both sides are equal or not

3x-y=26

3(6)-(-8)=26

18+8=26

26=26

(6,-8) is solution of 3x-y=26

Answer:x=19

Step-by-step explanation:

101 = -4 + 5(x + 2)

101= -4 +5x+10

91=-4+5x

95=5x

x=19

19

Step-by-step explanation:

Distribute 5

101=-4+5x+10

Combine like terms

101=5x+6

Get x alone on one side by subtracting 6

95=5x

Simplify

19=x

Answer:

8 years

Step-by-step explanation:

With Simple interest you can calculate the annual interest at 6000x.07=$420 annual interest

Take the Total Interest $3360/$420= 8 Years

Answer:

the first one is A the second one D the third one B

Step-by-step explanation:

hope this will help you

Answer:

Which fraction is equal to 0.7?

C.) 7/10

Which fraction is equal to 0.54?

A.) 27/50

How can the decimal 0.57 be written as a fraction?

B.) 57/100

Step-by-step explanation:

Answer:

t=1.625

Step-by-step explanation:

13=8t

divide both sides by 8

t=1.625

Answer:

Last option?

Step-by-step explanation:

ax+by=c

4x+6y=60

a=4

b=6

c=60

Answer:

The slope is -5

Step-by-step explanation:

For every 1 value moved in the x value, the line goes 5 values down. This means the slope is -5/1 or -5.

I hope that this helps! :)

Answer:

(13/24)

Step-by-step explanation:

let’s find a common number that we can get on the denominator

4 can be multiplied to get 48

6 can be multiplied to get 48

and 8 can also be multiplied to get 48

4(12) = 48

so for the equation (1/4) the numerator and denominator will both be multiplied by 12

(1/4)x(12/12) = (12/48)

6(8)= 48

(1/6)x(8/8) = (8/48)

8(6) = 48

(1/8)x(6/6) = (6/48)

now the fractions are

(12/48)+(8/48)+(6/48)

we can add them now because they have the same denominator and we get:

(26/48)

this can be simplified if we divide both the numerator and denominator by 2 and we get

(13/24)

Answer:

[tex]\frac{13}{24}[/tex]

Step-by-step explanation:

LCM(4, 6, 8) = 24

[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{6+4+3}{24}[/tex] = [tex]\frac{13}{24}[/tex]