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The diagram below shows two parallel lines and a transversal. If the measure of angle 2 is 47 degrees what is the measure of angle 3?

A. 43
B. 47
C. 153
D. 133

Answer:

[tex]y=3[/tex]

Step-by-step explanation:

Given figure is a rectangle.

In a rectangle , opposite sides are equal

to find out y we equate the opposite sides 10 and 2y+4

[tex]10=2y+4[/tex]

Subtract 4 from both sides

[tex]10-4=2y+4-4[/tex]

[tex]6= 2y[/tex]

Divide both sides by 2

[tex]y=3[/tex]

1. expand using place value.

337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0

Next, we will use exponents:

300,000 = 3 * 10^5

30,000 = 3 * 10^4

7,000 = 7 * 10^3

000 = 0 * 10^2

60 = 6 * 10

0 = 0 * 10^0

then after combing these exponents, we can write the number as:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0

Finally, removing the meaningless zeroes, we would end up with:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10

Multiplying Negatives odd # of negatives means negative answer. even means positive answer.

-4(1.5) Change both to improper fractions

-4/1(6/5) Multiply

-24/5  Simplify

-4 4/5   THE END

To find the product of -4(-1.5) on the number line, start from zero, move 4 units to the left due to the negative sign, and then move 6 units (4 x 1.5) to the right because of the negative multiplied by a negative rule. The result is 6.

To find the product of -4(-1.5) on the number line, you would follow a few steps. First, choose your starting point on the number line. In this case, the starting point would be zero.

Next, because the first number is negative, move 4 units to the left from zero. Since the second number is also negative, it changes the direction. So multiply by 1.5 in the opposite direction, which means moving to the right on the number line.

However, as it's a decimal multiplication you need to move 1.5 times or multiply the distance you moved when you moved 1 unit 4 times. It's like taking 1.5 steps to the right for each of the 4 steps we initially moved to the left. In the end, you will end up 6 units to the right of 0. Thus, the product of -4 and -1.5 is 6.

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the answer is b because to find the area of something you have to do Base(b) multiplied by the Height(h) and the area of B was 16

A: 14

B: 16

C: 13.5

D: 14

Answer Is Option(b.) :-To find the greatest area among the given rectangles, calculate the area of each rectangle by multiplying the base by height. The greatest area is of rectangle b.

The subject matter of this question involves finding the area of rectangles. In mathematics, the area of a rectangle is calculated by multiplying its base (b) by its height (h), represented as A = b x h. In this question, you are given four different rectangles (a, b, c, and d) with varying base and height values. You need to calculate the area for each and determine which one is the greatest:

After calculations, you can see that rectangle b has the greatest area.

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5x-5=30

Add 5 to both of the sides

5x=35

Divide 5 to both of the sides

X=7

Answer:

B is your best Bet

Step-by-step explanation:

for this problem, you would have to do B because thats the best bet compared to the other answers

[tex]3x\sqrt[3]{648x^4y^8}\\\\=3x\sqrt[3]{216\cdot3x^{3+1}y^{3+3+2}\\\\=3x\sqrt[3]{216}\cdot3x^3x^2y^3y^2y^2}\qquad|\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\3x\sqrt[3]{216}\cdot\sqrt[3]{x^3}\cdot\sqrt[3]{y^3}\cdot\sqrt[3]{y^3}\cdot\sqrt[3]3xy^2}\quuad|\text{use}\ \sqrt[3]{a^3}=a\\\\=3x(6)(x)(y)(y)\sqrt[3]{3xy^2}\\\\=18x^2y^2\sqrt[3]{3xy^2}\to\boxed{B.}[/tex]

First, subtract 44 from the 96. You get 52. Then, divide 52 by 7 to figure out what each shirt costs. The answer is 52/7, or $7.43. She spent 7 dollars and 43 cents on each shirt.

1st and 5th are true.

The answer is 83.2%, Hope this helps

False becuase wat you picked is definitley wrong

Denise needs to buy 25/3 gallons of 85% ethanol and 35/3 gallons of 25% ethanol to have 20 gallons of 50% ethanol.

x | y | 20 gal

use x and y because you don't know how much she needs.

0.85x | 0.25y | 20(0.5)

85% is 85/100 or 0.85, and you need that much of x, same goes for the 25% and 50% mixtures

so now you can make up 2 equations

1) x + y = 20

2) 0.85x + 0.25y= 10 (you get 10 when you multiply 20 by 0.5)

now you can solve for x or y using substitution. first rewrite 1) in terms of x or y:

x+ y= 20 ----> y= 20 - x

now you can substitute 20- x for y in the second equation..

0.85x + 0.25y= 10

0.85x + 0.25(20-x)= 10 distribute here..(0.25 * 20 and 0.25 * (-x) )

0.85x + 5 - 0.25x = 10 combine like terms

0.6x +5 = 10 move the 5 over to the other side

0.6x= 10 -5

0.6x = 5 divide both sides by 0.6

x= 25/3 or 8.3 now you know the amount of x so you can substitue this back into the first equation to find y.

0.85x + 0.25y= 10

0.85(25/3) +0.25y= 10

85/12 + 0.25y= 10

0.25y = 10- 85/12

0.25y= 35/12

y= 35/3 or 11.6

you can check by putting these values into the euations:

1) x+ y= 20

25/3 + 35/3 =20

20= 20 good so far

2) 0.85x + 0.25y= 10

0.85(25/3) + 0.25(35/3)=10

10 = 10 so our values for x and y work

He washes 7 cars and gets $4.00 for each one :

So it's the number of cars times the money he gets for each one - 7 times 4 = 28

He fills 10 bags of leaves and gets $1.00 for each bag:

So it's the number of bags times the money he gets for each one - 10 times 1 = 10

Than you add the money from the cars to the money of bags : $10 + $28 =

$38 total

Answer: $38.00

why; live

Answer:  1.  286 different combinations of players are possible.

2.  The probability of selecting a team of 5 girls and 5 boys is [tex]\frac{63}{143}[/tex] and the decimal is 0.4405...

Step-by-step explanation:

1.  Number of girls is 6 and number of boys is 7.

So, the total number of players = 6+7 = 13

A team of 10 players is to be selected from the class.

So, the total possible number of different combinations of players will be:  [tex]^1^3C_{10} = \frac{13!}{10! (13-10)!}=\frac{13*12*11*10!}{10!*3!}= \frac{13*12*11}{6}=286[/tex]

2.   Number of girls is 6 and number of boys is 7.

The possible number of teams by selecting 5 girls and 5 boys will be:  [tex]^6C_{5}\times ^7C_{5} =6\times 21= 126[/tex]

and the number of total possible teams of 10 players [tex]= ^1^3C_{10} =286[/tex]

Thus, the probability of selecting a team of 5 girls and 5 boys [tex]=\frac{126}{286}= \frac{63}{143}[/tex] or [tex]0.4405...[/tex]

you have to divide 64 and 8

then you get the answer: 8 ounces per cup

To find the 8th term of the pattern 1, 2, 5, 10, 17, analyze the differences between consecutive terms and find the common difference. Add that common difference to the 7th term to find the 8th term.

To analyze the pattern, we can observe that the difference between consecutive terms is increasing by 1 each time. Let's find the common difference:

From these differences, we can see that the common difference is increasing by 2 each time. So the difference between the 7th term and the 6th term would be 7 + 2 = 9. Using this pattern, we can find the 8th term:

9) [tex]3 + 5n = 1 + 8n + 2[/tex]  | subtract 5 on both sides, and solve 8n and -5n

[tex]3 = 1 + 3n + 2[/tex]  | combine like terms, add 2 and 1

[tex]3 = 3n + 3[/tex]  | subtract 3 on both sides, and solve 3 and -3

[tex]0 = 3n[/tex]  | divide by 3n

[tex]0 = n[/tex]  | final answer

10)  [tex]5x + 12 = 4x + 6[/tex]  | subtract 4x on both sides, solve -4x and 5x

[tex]x + 12 = 6[/tex]  | subtract 12 on both sides, solve -12 and 6

[tex]x = -6[/tex]  | final answer

11)   [tex]-8x - 4 = 7 (-2 - 4x) + 4x[/tex]  | distribute 7 into the parentheses

[tex]-8x - 4 = -14 - 28x + 4x[/tex]  | combine like terms

[tex]-8x - 4 = -14 - 24x[/tex]  | add 8x on both sides, and solve 8x and -24x

[tex]-4 = -14 - 16x[/tex]  | add -14 on both sides, and solve 14 and -4

[tex]10 = -16x[/tex]  | divide by -16 on both sides, and solve

[tex]-0.625 = x[/tex]  | final answer

12)   [tex]16 - 2n = - 8 + 4 (n - 3)[/tex]  | distribute 4 into the parentheses

[tex]16 - 2n = -8 + 4n - 12[/tex]  | combine like terms

[tex]16 - 2n = 4n - 4[/tex]  | add 2n on both sides, and solve 2n and 4n

[tex]16 = 6n - 4[/tex]  | add 4 on both sides, and solve 4 and 16

[tex]20 = 6n[/tex]  | divide by 6 on both sides, and solve

[tex]3.33333 = n[/tex] | final answer (repeated)

13)  [tex]-6 (3 - 6r) = -18 + 4r[/tex]  | distribute -6 into the parentheses

[tex]-18 + 36r = -18 + 4r[/tex]  | subtract 4r on both sides, solve 36r and -4r

[tex]-18 + 32r = -18[/tex]  | add -18 on both sides, solve -18 and 18

[tex]32r = 0[/tex]  | divide by 32 on both sides, and solve.

[tex]r = 0[/tex]  | final answer

14)   [tex]4 (3b - 1) = 9 - b[/tex]  | distribute 4 into the parentheses

[tex]12b - 4 = 9 - b[/tex]  | add -b on both sides, solbe 12 and b

[tex]13b - 4 = 9[/tex]  | add -4 on both sides, solve 9 and 4

[tex]13b = 13[/tex]  | divide 13 on both sides, solve

[tex]b = 1[/tex]  | final answer

15)   [tex]-6x + 7 (1 - x) = -4 (x - 4)[/tex]  | distribute 7 into parentheses

[tex]-6x + 7 - x = -4 (x - 4)[/tex]  | distribute -4 into the parentheses

[tex]-6x + 7 - x = -4x + 16[/tex]  | combine like terms

[tex]-5x + 7 = -4x + 16[/tex]  | add -4x on both sides, solve -5x and 4x

[tex]-x + 7 = 16[/tex]  | subtract 7 on both sides, solve 16 and -7

[tex]-x = 9[/tex]  | divide by -1 on both sides, solve

[tex]x = -9[/tex]  | final answer

16)   [tex]5 - (8v + 5) = -4 (1 + 3v)[/tex]  | distribute the - and -4 into the parentheses

[tex]5 - 8v - 5 = -4 - 12v[/tex]  | combine like terms

[tex]10 + 8v = -4 - 12v[/tex]  | add 12v on both sides, solve 12v and 8v

[tex]10 + 20v = -4[/tex]  | subtract 10 on both sides, solve -4 and -10

[tex]20v = - 14[/tex]  | divide 20 on both sides, and solve

[tex]v = -0.7[/tex]  | final answer

17)   [tex]-8 (4 + 4n) = 8 (n + 6)[/tex]  | distribute -8 and 8 into the parentheses

[tex]-32 - 32n = 8n + 48[/tex]  | add -32n to both sides, solve 32n and 8n

[tex]-32 = 40n + 48[/tex]  | subtract 48 on both sides, solve -32 and -48

[tex]-80 = 40n[/tex]  | divide -80 on both sides, and solve

[tex]-2 = n[/tex]  | final answer

UNDER CONSTRUCTION (I WILL EDIT WHILE YOU RECIEVE THE ANSWERS)

How to Get Answer for Number 9:

3+5n = 1+8n+2

5n+3=(8n)+(1+2)(Combine Like Terms)

5n+3=8n+3

Step 2: Subtract 8n from both sides.

5n+3−8n= 8n+3−8n

−3n+3=3

−3n+3−3=3−3

−3n=0

Answer: n = 0

[tex]\frac{-3n}{-3} =\frac{0}{-3}[/tex]

10.

5x + 12 − 4x = 4x + 6 − 4x

x + 12 = 6

x + 12 − 12 = 6 − 12

Answer: x = −6

11. Answer is also x = 0

(More answers will come as edited)

On Saturday Nikki and Tyler walked to the local farmers market Nikki bought 8 apples for $6 dollars and Tyler brought 3 fewer apples than Nikki. How much did Tyler spend on apples?​

Tyler brought 8 apples - 3 apples = 5 apples.​

​To calculate the price of 5 apples we have to establish a proportion :

If 8 apples cost $6​

Then 5 apples will cost $X​

​X = 5apples * $6/8apples = $3.75

​Answer : Tyler spent on apples $3.75

​Hope this helps!​​​​

[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​​

19% turns into 20%

20%*41=8.2

Have a nice day.

Final answer:

The equation of a vertical line passing through the point (5,2) is x = 5. This type of line has an undefined slope and is defined by its x-coordinate, not dependent on the y-coordinate.

Explanation:

The equation of a vertical line that passes through the point (5,2) can be determined by understanding that a vertical line has an undefined slope and does not depend on the y-coordinate for its location on a coordinate plane. Instead, a vertical line's location is solely determined by its x-coordinate. Therefore, the equation of a vertical line that passes through (5,2) will have the same x-coordinate for all its points. This means that the equation for the vertical line through (5,2) is simply x = 5.

This equation is different from the conventional y = mx + b, which defines a straight line with a slope m and y-intercept b. In the case of a vertical line, the slope is undefined, and therefore, the standard linear equation cannot be applied. Instead, the equation is independent of y and is expressed only in terms of the constant x-value of the vertical line.

Answer: D. About [tex]\frac{1}{2}[/tex] inches per hour.

Step-by-step explanation:

1. The city received [tex]12^{\frac{1}{4}}[/tex] inches of rain in [tex]25^{\frac{1}{2}}[/tex] hours.

2. Let's write the mixed number as decimal numbers:

[tex]12^{\frac{1}{4}}in=12.25in[/tex]

[tex]25^{\frac{1}{2}}h=25.5h[/tex]

3. To find the approximate rainfall rate in inches per hour, you must divide 12.25 inches by  25.5 hours, as following:

[tex]\frac{12.25in}{25.5h}=0.48\frac{in}{h}[/tex]

4. If you round the result to the nearest tenth, you obtain:

[tex]0.5\frac{in}{h}=\frac{1}{2}\frac{in}{h}[/tex]

5. Therefore, the answer is the option D.

The approximate rainfall rate is closest to 0.5 inches per hour therefore the correct answer is Option D.

To determine the approximate rainfall rate in inches per hour, we need to divide the total amount of rainfall by the duration over which it fell.

Using the formula for intensity:

The approximate rainfall rate is closest to 0.5 inches per hour, so the correct answer is Option D: about 1/2 inch per hour.

it will be 14 more minuted because she has completed 5/19 minutes it takes to reach the beach.. we can get this answer by taking the total number of minuted to get to the beach (19) and subtract the number of minutes she has already walked (5)..... our answer is that she has 14 minutes left till she reaches the beach.

Answer

It is Going To Take 14 Minutes

Combine like terms:

4x, 7x, -10x

-10, 14, 2

4x + 7x - 10x = x

-10 + 14 + 2 = 6

6 + x should be the correct answer.

She rode her bike 10.2 mile the final week.

You simply just add all of the numbers together & subtract from 62.9 then get 10.2.

Hopefully this helps! :-)

N x 7 +3 = 45

N = 6    Hope this helps.

Hi GueenSilia,

Answer: (n x 7) + 3

45 - 3 = 42

42 / 7 = n

n x 7 + 3 = 45

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

42 / 7 = 6

6 x 7 = 42

42 + 3 = 45

n = 6

The equation is [tex]\sqrt{x-2 \\ \\[/tex] -[tex]\sqrt{2x}[/tex] = [tex]\sqrt{x +2}[/tex]

Solution

Step 1:

Take square on both sides, we get

3x - 2[tex]\sqrt{x-2}[/tex][tex]\sqrt2{x}[/tex] -2 = x +2

Step 2:

Subtract 3x - 2 from both sides, we get

-2[tex]\sqrt{x-2} \sqrt{2x} = -2x + 4[/tex]

Step 3:

Again, square on both sides in order to get rid of the square root from the above equation, we get

[tex]8x^{2}-16x = 4x^{2} -16x +16[/tex]

Now we have to simplify it,

[tex]4x^{2} -16 = 0[/tex]

Step 4:

Now we have to solve this quadratic equation, in order to get the solution.

We get x = 2 and x = -2, When we verifying solution in the original given equation, the solution does not satisfy the equation.

Reason: We get negative number in the square root.

Therefore, it has no Roots.

Answer: b) No roots