Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line y where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. If mAngle6 = 123.5°, then mAngle1 is 56.5°. 67.5°. 123.5°. 136.5°.

Answer:

First lets subtract 3 from both sides. That gives us 5x = 7x-4. Then lets move the -4 to the other side reversing the sign. 5x+4=7x. Now lets subtract 5x from both sides. That will give us 2x = 4. Now all we need to do as a last step is divide by 2. That will give us x = 2. That is how you solve it in a nutshell

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Answer:The answer is negative three

Step-by-step explanation:

_________________________________

Median=3

Mean=3.12

Step by step explanation:

1. Arranging the data in ascending order:

=1,1,2,2,3,3,4,5,7

N(total number of items)=9

Now,

Median= (N+1/2) th item

=(9+1/2)th item

=(10/2) th item

=5 th item.

Median= 3

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

2. Given data: 3,2,4,2,1,5,1,3,7

Summation FX= 28

N(total number of items)=9

Now,

Mean= summation FX/N

= 28/9

=3.12

Mean =3.12

Good luck on your assignment

_______________________________

Step-by-step explanation:

median (need to be arranged first):

1,1,2,2,3,3,4,5,7 (9 numbers)

median=9+1/2

=5 (5th)

=3

mean=x/n

=(1+1+2+2+3+3+4+5+7)/9

=28/9

=3.111

Answer:

12

Step-by-step explanation:

12

Answer:

x = 3

Step-by-step explanation:

The triangles are similar, using ratios

x            8

------ = -----------

18              48

We can use cross products to solve

48x  = 8*18

48x = 144

Divide each side by 48

48x/48 = 144/48

x =3

Answer: f(4) = 21

Step-by-step explanation:

2(4)^2-11

4^2 = 16

2(16)-11

Multiply 2 and 16

32 - 11

Subtract

21

Answer:

21

Step-by-step explanation:

f(x)= 2x^2-11

Let x= 4

f(4)= 2*4^2-11

    = 2 * 16 - 11

     = 32 -11

      21

Answer:

53

Step-by-step explanation:

Answer:

(540 - π60 cm²) or 350cm³(351.5)

Step-by-step explanation:

You'll have to subtract the volume of the rectangular prism with the cylinder.

We know that the prism's volume is V = s*s*h = 6*6*16 = 540 cm²

We also know the cylinder's volume: V = πr²h = π(4/2)²*15 = π*4*15 = π*60

Now the only step remaining is to subtract the volume of the prism with the cylinder: 540 - π*60 cm³

540 - π*60 cm³ is the full answer

350 is the approximate answer (rounded it down from 351.5 to 350cm³)

Answer:

Step-by-step explanation:

log 2.5=log 21/2=log (3*7)/2=log3+log7-log 2=0.48+0.85-0.3=1.03

Answer:

(2d +7y) cm

Step-by-step explanation:

length of rope= 1st part +2nd part +3rd part

1st part= 2d

2nd part= d +2y

3rd part

= 2nd part +3y -2d

= d +2y +3y -2d

= 5y -d

Thus, length of rope

= 2d +d +2y +5y -d

= (2d +7y) cm

Answer:

c)3/2(8/7)^x

Step-by-step explanation:

Evaluate the functions. 

1. Because 7/4 > 1 and the exponent is positive,

  the function does not decay.

2.Because 4/5 < 1 and the exponent is negative,

   the function does not decay.

3. Because 8/7 > 1 and the exponent is negative,

   the function decays.

4. Because 9/2 > 1 and the exponent is positive,

   the function does not decay.

A composite plot the functions verifies the answer.

If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger.  That's because the base is greater than 1 and the x is negative.

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The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

The standard form of an exponential equation is expressed as:

y = a(b)^x

where

a is the base

x is the exponent

b is the rate (determine whether the rate is growth or decay)

If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

Learn more on exponential function here:  https://brainly.com/question/2456547

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Answer:

3, 4, 81

Step-by-step explanation:

plz thank

The value of a is 3, value of b is 4 and value of c is 81.

To understand more, check below explanation.

The exponential identity is,

                       [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]

We have to solve,  [tex]\frac{3^{8} }{3^{4} }[/tex]

              [tex]\frac{3^{8} }{3^{4} } =3^{8-4} \\\\\frac{3^{8} }{3^{4} } =3^{4} \\\\\frac{3^{8} }{3^{4} } =3*3*3*3=81[/tex]

Hence, the value of a is 3, value of b is 4 and value of c is 81.

Learn more about the exponential expression here:

https://brainly.com/question/8844911

Answer:

1110

Step-by-step explanation:

Hey there!

222 multiplied by 5 is 1110.

You can also use a calculator to find that out haha!

Have a wonderful day!

Answer:

The true statements are

The domain for f(x) is the set {-5, -3, 0, 2, 6, 7, 9, 10, 13}

f(-3) = 2

Extra:

x -5 -3 0 2 6 7 9 10 13

f(x) 1 2 3 0 1 2 3 0 1

Answer: 456

Step-by-step explanation:

idk if this is right i dont have anouf to be 100% sure but thats about right sorry if its not, i would try and put more info in next time to get a closer answer

Answer: Depending on who is tasting them, and their love for cookies iam going for something along the lines of 4750

Answer:

1) A.

2) C.

Step-by-step explanation:

1) 1 pint = 1/2 quarts

15 pints = 15 × 1/2 quarts

15 pints = 15/2 quarts

15 pints = 7 1/2 quarts

2) 1 quarts = 0.95 liters

4 quarts = 0.95 × 4 liters

4 quarts = 3.8 liters

Answer:

1hr 37min 18 sec

Step-by-step explanation:

Jack can mow the baseball grounds in 6 hours

Jack rate = 1/6 job/hr

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

Mike can mow the same grounds in 5 hours

Mike rate = 1/5 job/hr

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

Chris can mow the grounds in 4 hours.

Chris rate = 1/4 job/hr

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

Together rate = 1/x job/hr

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

Equation:

rate + rate + rate = together rate

[ 1/6 + 1/5 + 1/4] = 1/x

x[(5*4 + 6*4+ 6*5)/(6*5*4)] = 1

----

x(74/120) = 1

x = 120/74 = 1.62 hours = 1 hr 37 min 18 sec

Answer:

B. 5/7

Step-by-step explanation:

Up the y axis by 5 and over the x axis by 7

Answer:

The anwer is 1/2

[tex]P=N_Y/Total=3/6=1/2[/tex]

Answer:

3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.

Step-by-step explanation:

Our answer is

3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.

Because [tex]-\frac{5}{4}[/tex] and [tex]-\frac{4}{5}[/tex] are not opposite reciprocals because they share the same sign ( - ).

Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.

To determine if two lines are perpendicular, we need to compare their slopes. If the slopes are negative reciprocals of each other, the lines are perpendicular.

Let's analyze the slopes of the given lines:

Line 1: y = -4/5x + 2

The slope of Line 1 is -4/5.

Line 2: y = -5/4x - 1/2

The slope of Line 2 is -5/4.

To check if these slopes are negative reciprocals, we need to invert one of the slopes and change its sign. Let's invert the slope of Line 1:

Inverted slope of Line 1: -5/4

The inverted slope of Line 1 is not equal to the slope of Line 2 (-5/4 ≠ -5/4). Therefore, the slopes are not negative reciprocals of each other.

Hence, Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.

To know more about slopes, refer here:

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Answer:

d.

Explanation:

Look at the title of the categories in the chart. 40 is categorized under “hours of training,” meaning 40 hours of training. 1700 is categorized under “monthly pay.” Put the information together and it means $1,700 for 40 hours that month.

Answer:

6

Step-by-step explanation:

In a right triangle the legs are base and height

area = (1/2) base × height = (1/2) 3 (4) = 6

Answer: 6  square units

Answer:

l think the answer is C

32.70m

Step-by-step explanation:

we all know that perimeter is the distance round the shape.

so the first step is adding 6 +6 because the other side of the shape is also 6 then add 5 and this equals to 17.

After that we find the area of the circle

which is 3.14*5= 15,7

After getting this value we add it to 17

then we get 32.70m

Answer:C

Step-by-step explanation:

Answer:

188.4cm³

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I had that same answer. I did it with my teacher and he said it was b

Answer:

it's a B because it's the best answer for this quistion like they are saying IF I do this Then this should happen

Answer:

True

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2. The given equation has 3x^2, meaning that it is quadratic.

Answer:

1) x =4/3 = 1  1/3

2) y = 10/3 = 3  1/3

3) y = 8

Step-by-step explanation:

y = x + 2/3

1) 2 = x+ 2/3

x = 2 - 2/3 =-6/3 -2/3

x = 4/3 = 1 1/3

2) 8/3 + 2/3 = y

y = 10/3 = 3 1/3

3) 22/3 +2/3 =y

y = 24/3 = 8

Answer:

y=z+2/3

y=2 => z=2-2/3= 4/3

z=8/3 => y= 8/3+2/3= 10/3

z=22/3 => y=22/3+2/3= 24/3= 8