the round trip distance between City X and City Y is 647 miles. A national park is between City X and City Y, and is 27 miles from City X. Find the round trip distance between the national park and city Y. Justify your answer.

Answer:

Yes, because if the multiplication identity is 1, the division identity may be -1 because it is the opposite.

Step-by-step explanation:

I'll do part (a) to get you started.

The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.

We also see that b = 123 as well since a = b (they are vertical angles).

Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.

c+123 = 180

c = 180-123

c = 57

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

To summarize, we have these three angles

a = 123

b = 123

c = 57

Answer:

a)      a=57°    b=123°   c=123°

b)     f=98°  d=98°   e=98°

c)     g=75°    h=75°

Step-by-step explanation:

a) a°+123°=180°  (angle on a straight line=180°)

    a°=180°-123°

     a°=57°

  b°=123°  (alternative angles)

  c=123°   (vertically opposite angles are equal)

b)f+82°=180°  (angle on a straight line=180°)

   f=180°-82°

   f=98°

  f=d (corresponding angles are equal)

   d=e  (vertically opposite angles are equal)

c)  h=75°  (corresponding angles are equal)

    g=h  (vertically opposite angles are equal)

Answer:

The correct answer is -76.

Step-by-step explanation:

The step-by-step solution is shown in the image provided here, I hope it will help.

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

(new-old)/old * 100%

130.7-124/124 = .054 = 5.4%

Step-by-step explanation:

==========================================================

Explanation:

Check out the diagram below.

U is between T and V, and U is on segment TV. We can see that the smaller pieces TU and UV add back up to the largest segment TV

TU + UV = TV

17 + 18 = TV

35 = TV

TV = 35

Segment TV is 35 units long.

Answer:

2340

Step-by-step explanation:

(-12)×(13)×(-15)

=(-156)×(-15)[ (+) × (-) = (-)]

=2340[(-) × (-) = (+)]

Answer:

-213

Step-by-step explanation:

3|3-5|^2-(-15)^2

3(4)-225

=12-225= -213

Answer:

-213

Step-by-step explanation:

=3|x+y|²-(xy)²

Subtitute value of x and y above:

=3(|3+-5|)²-(3×-5)²

=3(|-2|)²-(-15)²

=3(2)²-(225)

=3(4)-225

=12-225

=-213

Note: If you need to ask question,I'll gladly give you answee.Thanks

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

As you have indicated, you want to multiply both sides of the equation by 6x.

  [tex]\dfrac{1}{x}=\dfrac{1}{6}+\dfrac{1}{3}\qquad\text{given}\\\\\left(\dfrac{1}{x}\right)\cdot6x=\left(\dfrac{1}{6}+\dfrac{1}{3}\right)\cdot6x\qquad\text{multiply by 6x}\\\\6=x+2x\qquad\text{simplify}\\\\6 = 3x\qquad\text{collect terms}\\\\\dfrac{6}{3}=x\qquad\text{divide by the coefficient of $x$}\\\\\boxed{x=2}[/tex]

_____

Additional comment

The denominator on the left is x. The least common denominator on the right is 6. To clear fractions, you can multiply by the product of these values: 6x. Doing this gave us the one-step linear equation 6 = 3x.

As with any operation performed on an equation, the operation must be performed on both sides of the equation. Here, we multiply both sides by 6x. It is a bit unconventional and confusing to show that multiplication as you have shown it in your figure. Usually, it would be shown as in the 2nd line of the solution, above.

Answer:

Your answer is x=7

Step-by-step explanation:

To get your answer, first you add 24+25. This equals 49.

Next, you see what you have to multiply by 7 to get 49.

7 goes into 49 7 times.

(7*7)-24=25.

Answer:

It's the second option: y = √x -2

Step-by-step explanation:

Answer:

2 to power five

Step-by-step explanation:

since the bases are common and we are multiplying we add the powers ,so power two plus power three to get five

Answer:

B. x = 50; m∠LOK = 114°

Step-by-step explanation:

Supplementary angles add to 180

∠MOK + ∠JOM=180

66+ ∠JOM=180

<JOM = <LOK since they are vertical angles

<LOK = x+64

66+ x+64=180

Combine like terms

130+x = 180

x = 180-130

x = 50

<LOK = x+64 = 50+64 = 114

Answer:

0.573

Step-by-step explanation:

5(1/10)+7(1/100)+(3/1000)

=5/10+7/100+3/1000

=0.5+0.07+0.003

=0.573

Step-by-step explanation:

Note that less means (-) and less than or equal means ≤

b - 8 ≤ 27

[tex]b - 8 \leqslant 27[/tex]

Answer:

[tex]\huge\boxed{\sf - \frac{7}{68} }[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3}{8} \div (-\frac{51}{24} \div \frac{7}{12} )\\\\While \ changing \ \div \ into \ \times, \ we \ will\ switch \ the \ denominator \ and \ numerator \ after \ \div \ sign\\\\= \frac{3}{8} \div (\frac{-51}{24} \times \frac{12}{7} )\\\\= \frac{3}{8} \div (\frac{-51}{2} \times \frac{1}{7} )\\\\= \frac{3}{8} \div \frac{-51}{2 \times 7} \\\\= \frac{3}{8} \div \frac{-51}{14} \\\\= \frac{3}{8} \times \frac{14}{-51} \\\\= \frac{1}{4} \times \frac{7}{-17} \\\\[/tex][tex]\displaystyle = \frac{1 \times 7}{4 \times (-17)} \\\\= \frac{7}{-68} \\\\= - \frac{7}{68} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

= -7/68

Step-by-step explanation:

1- first simplify the fractions in the bracket

= 3/8 (-17/8 7/12)

2- then calculate within the brackets

= 3/8 (-51/14)

3- lastly multiply & divide

3/8 (-51/14) = -7/68

Step-by-step explanation:

so it take 20 days for 8 boys

Answer:

8 boys is 20 days

Step-by-step explanation:

[tex]6 \: boys \: : \: 15 \: days \\ 8 \: boys \: : x \: days \\ 8 \times 15 = 6x \\ \frac{120}{6} = x \\ x = 20 \: days[/tex]

hope this makes sense

:)

Answer:

-1/2

Step-by-step explanation:

steps are in picture.

If you are having confusion just ask .I'll give you answer.

Answer:

23 + 2v

Step-by-step explanation:

23 increased means 23 +

twice vidya's savings is 2v

Expressions = 23 +2v

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x - 6y + 10z

Step-by-step explanation:

7x + 3y - 5z - (8x - 3y + 5z)

= 7x + 3y - 5z - 8x + 3y - 5z

= 7x - 8x + 3y + 3y - 5z - 5z

= - x + 6y - 10z

OR

= -(- x + 6y - 10z)

= x - 6y + 10z

Answer:

Area of Quadrilateral Using Coordinates

Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.

If four coordinates are given then:-

[tex]\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

Hey there! I'm happy to help!

First of all, don't worry so much about struggling with something difficult! It's part of the human experience. Our minds are wired to be challenged but then when we push through and have faith in ourselves that's how we grow and improve!

What we are dealing with here are lines. We are being given the coordinates for one endpoint of a line and a midpoint and we want to find the other endpoint.

Let's just go one-dimensional first to make this easier to understand. Imagine that you have a number line. You draw a line going from 1 to 7. So, 1 and 7 are the two endpoints. Your midpoint is going to be halfway between those two. To find the middle of anything, you just add the two numbers and divide them by two.

1+7=8

8/2=4

So, 4 is our midpoint in this situation.

So, what if we just had our endpoint 1 and our midpoint 4? Well, we see that we go forward three spaces to get to 4. Now we are halfway! Then, we just do another three to make it to our finish line, which is 7. Or, we just take that distance and multiply it by two! This is related to our divide by two rule but just backward!

So, let's look at these problems.

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

A.

We have the coordinates of our line here. Our endpoint is (1,-9) and our midpoint is (4,-1). Remember what we did with our number line? We are basically going to do it with our x and y values.

So, to go from our endpoint 1 to 4 we go three spaces. If we go another 3 spaces, it will be 7. So, our x-value is 7.

With our y-values, we go from -9 to -1, so we climb 8 spaces. If we add another 8 spaces we will end up at 7, so our y-value is 7 again!

So, our other endpoint is (7,7)!

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

B.

To go from -2 to 9 is adding 11, so we add another 11 to 9 to give us an x-value of 20.

Going from 19 to 2 is subtracting 17, so we need to subtract another 17, which gives us a y-value of -15.

So, our endpoint is going to be (20, -15).

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

Have a wonderful day and keep on learning! :D

Answer:

N - 8 = 22

Step-by-step explanation:

The variable N goes first. If you look at the question over again, it says the difference between a number and 8 is 22. The number uses the variable N if your trying to figure out what it is, so your gonna subtract your number from 8 to get 22

Answer:

[tex]n - 8 = 22 \\ here \: number \: = n \\ thank \: you[/tex]

Answer:

1215

Step-by-step explanation:

It is divisible by 5 because the number in the ones place is 5.

I used a calculator to check if it is divisible by 3

Step-by-step explanation:

3+21+7+3+21+7

Answer:

6.5

Step-by-step explanation:

Im not 100% sure because I may have overcomplicated this but im going to submit this anyway.

Answer: 19 + × / 2

Step-by-step explanation:

Look for the key words:

Rise AND fall of the tide = Addition (19+x)

To show the AVERAGE = Division (Divide it by 2 because there is Monday and Tuesday)

The average difference between the tides for Monday and Tuesday Expression is 1/2×(19 + x)

Average difference Expression = 1/2 ×(19 + x)

Where:

19 represent the Difference between high and low tides on Monday

x represent  Difference between high and low tides on Tuesday

Inconclusion The Average difference Expression is  1/2 ×(19 + x)

Learn more here:

https://brainly.com/question/3023809