-3/7(x-52) given x=10

Answer:

x= 41

Step-by-step explanation:

3x-43= 80 is the equation since they are alternate interior angles.

Step 1- Add 43 to both sides.

3x-43= 80

  +43 +43

Step 2- Divide both sides by 3.

3x= 123

3      3

x= 41

The given angles are the alternate interior angles formed by a common

transversal to two parallel lines.

The value of x for which line l is parallel to line m is c. 41°.

Reasons:

When line l is parallel to line line m, we have;

The alternate interior angles will be equal

Therefore;

(3·x - 43)° = 80°

Which gives;

[tex]x = \dfrac{80^{\circ} + 43^{\circ} }{3} =41^{\circ}[/tex]

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He ran 100 meters in 9.63 seconds, so we can set up the equation below and do these steps...

100 meters = 9.63 seconds

10.384 meters = 1 second (divide both sides by 9.63)

37382.4 meters = 3600 seconds (multiply both sides by 3600)

37382.4 meters = 1 hour

His speed is roughly 37382.4 meters per hour, which is less than 40234 meters/hr = 25 mi/hr

Answer: Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gallon.

Step-by-step explanation:

Answer:

a = -6 - 6x + 3x^2

Step-by-step explanation:

Answer:

[tex]2^{2} x 3^{2}[/tex]

Step-by-step explanation:

Answer:

2^2*3^2

Step-by-step explanation:

You can break down 36 through ways down to its prime factors through multiple ways like a facor tree

                   36

                4       9

             2    2  3   3

Since two and three cannot be broken down anymore, they are prime factors. Also, because you are left with two 2s and two 3s, you would mark that as squared when giving an answer.

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Hi there!

~

Let's simplify step-by-step.

[tex]6 + 13mn + 7mn[/tex]

Combine Like Terms:

[tex]= 6 + 13mn + 7mn\\= (13mn+ 7mn) + (6)\\= 20mn + 6[/tex]

❀Hope this helped you!❀

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Answer: 11

Step-by-step explanation: 7+1+1+1+1 = 11

                                            7   8 9 10 11

Answer:

k = 16

Step-by-step explanation:

To solve this we must isolate k.  Let's first simplify this equation by subtracting   8 from both sides:

k/4 = 4

Next, remove the fraction by multiplying both sides by 4:

k = 16

Answer:

[tex]\theta = 148.8[/tex]

Step-by-step explanation:

Given

[tex]R_x = -419[/tex]

[tex]R_y = -253[/tex]

[tex]R = 490[/tex]

Required

Determine the value of [tex]\theta[/tex]

Since, [tex]\theta[/tex] is counter clockwise from x axis;

The relationship between [tex]\theta[/tex], [tex]R_x[/tex] and R is

[tex]cos\theta = \frac{R_x}{R}[/tex]

Substitute values for Rx and R

[tex]cos\theta = \frac{-419}{490}[/tex]

[tex]cos\theta = -0.8551[/tex]

Take arccos of both sides

[tex]\theta = cos^{-1}(-0.8551)[/tex]

[tex]\theta = 148.770784108[/tex]

[tex]\theta = 148.8[/tex] (Approximated)

Answer:

False

Step-by-step explanation:

The principal square root of most numbers is an irrational number with an infinite decimal expansion.

Not every square root is irrational but the statement says EVERY so false.

Hope I helped!

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Answer:

False

There can be irrational numbers too. Complex, even. Also, Imaginary.

J = 0 because it is the midpoint of K and P.

Since we know that K is at -5 and P is at 5, KP = 10

Both KP and JQ are equal to 10, therefore, they are equal.

Answer:

14. j=0

15. KP=10

16. yes

Step-by-step explanation:

(The two letters next to each other means that the question is asking for the distance between the points. For example, KP is the distance from K to P, or P to K.)

14.:

If P is the midpoint of J and Q, that means that there is an equal distance between Q and P and J and Q. So, you can see this because

Q-P=5 and 5*2= J

So the distance from J to Q is 10, but to find what J is, subtract the distance from Q, leaving you with 0. So, J=0.

15.:

Since each line represents 5 and the distance from -5 to 5 is 10, KP = 10.

16.:

Since KP = 10 and JQ = 10, then yes, they are the same.

Answer: D) [tex]x \ge -2[/tex]

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

Explanation:

The domain is the set of all allowed x inputs.

The furthest to the left the curve goes is x = -2. So this is the smallest x value allowed as an input.

The largest input has no restriction since it grows forever toward the right (due to the arrow).

So we say that x can be -2 or larger meaning [tex]x \ge -2[/tex] is the domain.

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

Extra info:

In interval notation, the domain would be [tex][-2, \infty)[/tex] to indicate the interval from -2 to positive infinity. The square bracket says "include the endpoint". The curved parenthesis says "exclude the endpoint". We can never reach infinity, so we cannot possibly include it as an endpoint, so we always use parenthesis for either infinity.

Answer:

39.5 astronomical units

Answer:

10 miles per hour

Step-by-step explanation:

1/12 miles

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

1/2 minute

1/12 ÷1/2

Copy dot flip

1/12 * 2/1

1/6 miles per minute

We need to convert minutes to hours

1 hours = 60 minutes

1/6 miles / minutes * 60 minutes/ hour

= 60/6 miles per hour

10 miles / hour

Answer:

0.73 and 0.92

Step-by-step explanation:

The answers are 0.73 and 0.92 because:

1) Subtract 0.54 with 0.35, you will get 0.19

2) Therefore, we know the patter is adding 0.19 for each number

3) 0.54 + 0.19 = 0.73

4) 0.73 + 0.19 = 0.92

Hope this helps!

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The next two terms in the pattern will be 0.73 and 0.92.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

The given series is an arithmetic series. Therefore, the common difference between any of the two terms in the series is,

Common difference = 0.35 - 0.16 = 0.19

Now, the next term of the series will be,

Next term =  Previous term + common difference

= 0.54 + 0.19

= 0.73

Next term = 0.73 + 0.19

= 0.92

Hence, the next two terms in the pattern will be 0.73 and 0.92.

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Answer:

  (-1, 2)

Step-by-step explanation:

The midpoint coordinates are the average of the end point coordinates:

  M = (A +B)/2

  M = ((8, 0) +(-10, 4))/2 = (8-10, 0+4)/2 = (-1, 2)

The midpoint is (-1, 2).

Answer:

y value

Step-by-step explanation:

bc it is xiydid5is5is58w

Answer:

velocity of the car is 16.667

Step-by-step explanation:

first

changing si unit of both km and hrs into meter and second

then

v= m/s

v=240000/14400

v= 16.667m/s

Answer:

answer

Step-by-step explanation:

Velocity equals distance divided by time.

240 km divided by 4 h

Velocity equals 60 km/h W

Answer:

-4 - 7i

Step-by-step explanation:

If a quadratic equation with real coefficients has a complex number as a solution, then the complex conjugate of that number is also a solution.

Assuming the coefficients of the quadratic function are real, then the other solution is

-4 - 7i

Point slope form: y - y1 = m(x - x1)

y1 = y-point

m = slope

x1 = x-point

Using what we wrote above, we can solve the question.

y1 = -2

m = -2/3

x1 = 4

Therefore, the point is (4, -2) and the slope is -2/3

Best of Luck!

Answer:

See below.

Step-by-step explanation:

So we want to prove that:

[tex]\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}[/tex]

First, simplify √8. This is the same as:

[tex]\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

Therefore, our equation is now:

[tex]2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}[/tex]

Combine like terms on the left:

[tex]3\sqrt2=3\cdot 2^\frac{1}{2}}[/tex]

The square root of something is the same as taking that number to the one-half power. Thus:

[tex]3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}[/tex]

Rewrite:

[tex]3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}[/tex]

And we're done!

Answer:

8307 dhdhdhsjs

Step-by-step explanation:

vahahahwhahehe

Answer: 8,307$

Step-by-step explanation:

279$ x 15 = 4185$

229$ x 18 = 4122$

4185$ + 4122$ = 8,307$

Answer:

the - are the x or y

Step-by-step explanation:

Answer: 5,400 units

Step-by-step explanation:

if you multiply 3,500 units by 40%, you get the quotient 1,900, which is 40% if 3,500. if you add the quotient, 1,900, to the total amount of units already, 3,500, you get the total of 5,400 units

Answer:

400

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

21 - 7x = 7(3 - x)

21 - 7x = 21 - 7x

Since both sides of the equation are equal, the answer is all real numbers.

[tex]21 - 7x = 7(3 - x)\\21 - 7x = 21 - 7x\\-7x + 7x = 21 - 21\\x \in \mathbb{R}[/tex]

Answer:

D

Step-by-step explanation:

7-3x+2=0

9-3x=0

-3x=-9

x=-9/-3

x=3

D)9-3x=0

-3x=-9

x=-9/-3

x=3

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