Phthagorean therom:
Explain and Solve following questions

Answer:

The answer is below

Step-by-step explanation:

A trapezoid is a quadrilateral (has four sides and four angles) with a pair of opposite parallel sides. The pair of opposite parallel side is known as the base. Also, the angles on the same leg of a trapezoid (adjacent angles) are supplementary (add up to 180°).

In trapezoid MNPQ:

∠M + ∠Q = 180° (angles on the same leg are supplementary)

108 + (3x + 21) = 180

3x + 129 = 180

3x = 51

x = 17

Also:

∠N + ∠P = 180° (angles on the same leg are supplementary)

∠N + (4x - 15) = 180

∠N = 180 - (4x - 15)

∠N = 180 - 4x + 15

∠N = 195 - 4x

substitute x = 17°:

∠N = 195 - 4(17)

∠N = 127°

Answer:

X = -14

All you have to do is type in 2(x+5)=(x-4) in to a algebra calculator and you will get -14

Answer:

[tex]Given~inequality~is\\2(x-3) -5x<x-2\\or, 2x-6-5x<x-2\\or, -3x-6<x-2\\Subtracting~x~on~both~sides,\\-3x-x-6<x-x-2\\or, -4x-6<-2\\Adding~'6'~on~both~sides,\\-4x-6+6<-2+6\\or, -4x<4\\Dividing~'-4'~on~both~sides,\\\frac{-4x}{-4}>\frac{4}{-4} \\[Sign ~of~ inequality ~is~ reversed ~on ~dividing~ on~multiplying ~both ~sides~ by~ a~ negative~ number]\\or, x>-1 \\[/tex]

So, the required answer is C. [Look at the screenshot]

Answer:

35/100

Step-by-step explanation:

P(green or black) = 3/20 + 4/20 = 7/20

7/20 = 35/100

Answer:

35 times

Step-by-step explanation:

all of them added together is 20 7/20 7x5=35 because 20 goes into 100 5 times

Answer:ayyyy more free points

Step-by-step explanation: so i can ask questions

\

  You should be able to set up a proportion between the sides something like (18+x)/x=(56+21)/56

Answer:

I can't see ;-; show close up

Answer:

12/25

Step-by-step explanation:

24/50 =12/25

÷2

Answer:

12/25 is the lowest terms it can be simplified

Answer:

-x+7

Step-by-step explanation:

​(7x + 2​) + ​(-8x​ + 5)

Combine like terms

​7x -8x​   +2+5

-x          +7

Answer:

-x + 7. It's honestly quite easy if you just try, I have a recommendation for you. Use an algebra solver website

Answer:

3

Step-by-step explanation:

The  f^-1 notation indicates you need to find the inverse of the function

y=2x+1

x=2y+1

Exchange the x & y variables. Note this is what accomplishes that reflection across the line y = x

7=2y+1

-2y=1-7

-2y=-6

Divide both side of the equation by -2

negative divide negative is positive so

y=3

Answer:

Step-by-step explanation:

Y = k1/x

4 = k 1/2.5

2.5 x 4 = k

10 = k

Now using this equation we will find the other answers

A) find y when x = 20

Y = k 1/x

Putting values

= 10(1/20) = 1/2 = 0.5

B) find x when y = 5

Y = k 1/x

Putting values

5 = 10 1/x

5x = 10

x = 10/5 = 2

Answer:

7.5 in

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Essentially, 60 and the 5 us must be equal:

60=5u

Divide both sides by 5 to solve for u but keep the equation balanced.

12=u

Answer:

the answer is 12

Answer:

A, 22

Step-by-step explanation:

DOF-DOE=EOF

50-28=22 degrees

Answer:

A=22

Step-by-step explanation:

∠DOF=∠DOE+∠EOF

so ∠EOF=∠DOF-∠DOE=50°-28°=22°

Answer:

it is a 1 in 4 chance

Step-by-step explanation:

8 is the out come with more than 9 and 36 is the total number of out comes

Answer:

(3,9) , (6,14)

Step-by-step explanation:

9 + 5 is 14

3 + 3 is 6

Answer:(3,9) , (6,14)

Step-by-step explanation:

Answer:

4/7 has least common denominator

= 0.5( approx.)

Answer:

21 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

fe4trhegweggwerg4twerewerth54h4hyrht5th53h

Step-by-step explanation:

Answer:

y=4/5x

Step-by-step explanation:

If you multiply the x value of 10, substitute it into the equation. Using the equation y=4/5x, you will get the y value of 8.

When you substitute the x value of 5 into the equation. You will get 4.

You do this for the rest of the x values and will get the correct y values.

Answer:

Show us the equation

Step-by-step explanation:

Could you put a screenshot of it

Answer:

may i see the picture?lol

Step-by-step explanation:

Answer:

HUH? WHAT?

Step-by-step explanation:

Answer:

The answer should be c

Step-by-step explanation:

Answer:

D) About 40 miles

Step-by-step explanation:

Using the Pythagorean theorem, you caculate c=√ a^2 + b^2

Oceanfront to Landview is 5(5) units = 25

Landview to Seaside is 6(5) units = 30

25^2 = 625

30^2 = 900

√625 + 900 = 39.0512....

Basically it’s 40 miles

Answer:

The answer is D, about 40 miles.

Step-by-step explanation:

Use the pythagorean theorem.

Distance between Seaside & Landview: 6

Distance between Landview & Oceanfront: 5

6^2 times 5^2 = [tex]\sqrt{61}[/tex]

[tex]\sqrt{61}[/tex] times 5 = 39.05124838

39.05124838 ≈ 40

Sorry I took so long. I hope this helps!

Answer:

First since 2 of the options ask for the width of BM lets solve for it using the Pythagorean theorem for both sides of point L:

a² + b² = c²

30² + b² = 50²

b² = 50² - 30²

b² = 1600

b = 40    Line BL = 40 ft

Since the ladder is 50 feet it is the same length on the other side as well

a² + b² = c²

40² + b² = 50²

b² = 50² - 40²

b² = 900

b = 30        line LM is 30 ft

SO line lm + line bl = 30 + 40 = 70 ft

A is true because ^

B isn't true because as we solved for earlier, BL is 40

C is true because line LM is in fact 30 ft as we solved for

D is not true because as we said earlier BM is 70

E is true because the same ladder was used on both sides of the street

Step-by-step explanation:

The width of the street, BM, is 70 feet. The ground distance of the ladder from building M is 30 feet. The length of KL is 50 feet.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

First, because two of the possibilities require the width of BM, let us solve for it using the Pythagorean theorem for both sides of point L.:

a² + b² = c²

30² + b² = 50²

b² = 50² - 30²

b² = 1600

b = 40  

So, Line BL = 40 ft

So because the ladder is 50 feet long, it is also the same length on the other side.

a² + b² = c²

40² + b² = 50²

b² = 50² - 40²

b² = 900

b = 30        

So, line LM is 30 ft

So line lm + line bl = 30 + 40 = 70 ft

Hence, the true statements are options (A), (C), and (E).

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

#SPJ2

Answer:

Please check the explanation.

Step-by-step explanation:

From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.

Therefore, the pairs of alternating interior angles formed by the two transversal lines are:

We know that alternating interior angles formed by a transversal line are congruent.

Thus,

Part a)

Given

m∠1 = 3x + 42

m∠5 = 8x - 8

As

∠1  = ∠5

So

3x + 42 =  8x - 8

flipe the equation

8x - 8 = 3x + 42

subtract 3x from both sides

8x - 8 - 3x = 3x + 42 - 3x

5x - 8 = 42

add 8 to both sides

5x - 8 + 8 = 42 + 8

5x = 50

divide both sides by 5

5x/5 = 50/5

x = 10.0000 (Rounded to four decimal places)

Thus, the value of x = 10.0000 (Rounded to four decimal places)

Part b)

Given

m∠6 = 12°

It is clear that angles ∠6 and angle ∠7 lie on a straight line.

Thus,

The sum of ∠6 and ∠7 is 180°.

∠6 + ∠7 = 180°

substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°

12° + ∠7 = 180°

subtract 12 from both sides

12° + ∠7 - 12° = 180° - 12°

∠7 = 168°

Thus, measure of angle ∠7 = 168°.

We already know that alternating interior angles formed by a transversal line are congruent.

∠7 and ∠2 are alternating interior angles.

Thus,

∠2 = ∠7

As ∠7 = 168°.

Therefore,

∠2 =  168°

Hence, we conclude that

∠2 =  168°