Part 3: Decide whether each set of lengths are sides of a right triangle, answer YES or NO. Show work
to support your answer. MGSE8.6.6 (8 points each)
7.)
9m, 4m, 5m
8.) 5cm, 12cm, 14cm

Answer:

18.58

Step-by-step explanation:

Answer:

18.5

Step-by-step explanation:

just took the test

Answer:

C) 4

Step-by-step explanation:

Arcs on one side of the diameter adds upto 180°.

Therefore,

[tex](2 + 17x) \degree + 54 \degree + 56 \degree = 180 \degree \\ \\ (2 + 17x) \degree + 110 \degree = 180 \degree \\ \\ (2+ 17x) \degree = 180 \degree - 110 \degree\\ \\ (2 + 17x) \degree = 70 \degree \\ \\ 2 + 17x = 70 \\ 17x = 70 - 2 \\ \\ x = \frac{68}{17} \\ \\ x = 4[/tex]

Answer:

Choice C) 4

Step-by-step explanation:

You can do this in multiple different ways but I will do it in the way I believe will be the fastest.

So since we already know everything on one side of the line, we can use that to find x. The line is 180° and since the angles are on the line we know that they will all add up to 180.

For this we will need an equation:

[tex]2+17x+54+56=180[/tex]

Now we add the like terms:

[tex]112+17x=180[/tex]

Subtract the 112 on both sides:

[tex]17x=68[/tex]

Divide the 17 on both sides:

[tex]x=4[/tex]

Answer:

so can it be your age

Step-by-step explanation:

12 mybe

Answer:

The solution to the system of equations is:

[tex]x=\frac{25}{3},\:y=-\frac{11}{9}[/tex]

Step-by-step explanation:

Given the system of equations

[tex]5x + 3y = 38[/tex]

[tex]2x + 3y = 13[/tex]

solving the system of equations

[tex]\begin{bmatrix}5x+3y=38\\ 2x+3y=13\end{bmatrix}[/tex]

Multiply 5x+3y=38 by 2:    10x+6y=76

Multiply 2x+3y=13 by 5:     10x+15y=65

[tex]\begin{bmatrix}10x+6y=76\\ 10x+15y=65\end{bmatrix}[/tex]

so

[tex]10x+15y=65[/tex]

[tex]-[/tex]

[tex]\underline{10x+6y=76}[/tex]

[tex]9y=-11[/tex]

now solving 9y = -11 for y

[tex]9y=-11[/tex]

divide both sides by 9

[tex]\frac{9y}{9}=\frac{-11}{9}[/tex]

Simplify

[tex]y=-\frac{11}{9}[/tex]

For 10x+6y=76 plug in y = -11/9

[tex]10x+6\left(-\frac{11}{9}\right)=76[/tex]

subtract 6(-11/9) from both sides

[tex]10x+6\left(-\frac{11}{9}\right)-6\left(-\frac{11}{9}\right)=76-6\left(-\frac{11}{9}\right)[/tex]

[tex]10x=\frac{250}{3}[/tex]

Divide both sides by 10

[tex]\frac{10x}{10}=\frac{\frac{250}{3}}{10}[/tex]

[tex]x=\frac{25}{3}[/tex]

Therefore, the solution to the system of equations is:

[tex]x=\frac{25}{3},\:y=-\frac{11}{9}[/tex]

Answer:  [tex]\dfrac{39}{89}[/tex]

Step-by-step explanation:

Given: In triangle WXY,

∠Y = 90°, XW = 89 units, WY = 80 units and YX = 39 units.

According to trigonometry ,

Cosine of A [tex]=\dfrac{\text{side adjacent to A}}{\text{hypotenuse}}[/tex]

From the figure below,

[tex]\text{cosine of } \angle X=\dfrac{YX}{WX}\\\\=\dfrac{39}{89}[/tex]

Hence, required ratio = [tex]\dfrac{39}{89}[/tex]

Answer:

100 + 15 = 115

5000/100 X 115 = 5750

5750 - 5000= $750

answer D commission is the same

Answer:

Quotient Rule

Step-by-step explanation:

Your dividing so its quotient. Product is multiplication.

Answer:

45%

Step-by-step explanation:

✓Change in price= ($60 - $33)

=$27

✓percent change in price= change in price/ original price ×100%

✓percent change in price= ($27/$60) × 100%

= 0.45×100%

=45%

Hence, the percent change is 45%

Answer:

25 + 15n ≥ 150

Step-by-step explanation:

The term at least mean the amount saved is greater than or equal to 150

Let the number of weeks he intends to save be n

Amount saved after n weeks without the plan is:

15n

Add plan amount

= 25 + 15n

Add inequality

25 + 15n ≥ 150

Answer:

Total amount of fuel =200,000 litres

Amount of fuel used = 130,000 litres

Percentage of the fuel capacity used:

[tex] \frac{130000}{200000} \times 100 = \frac{13}{20} \times 100 = 65\% \\ [/tex]

65% of the fuel is used on this flight.

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

Answer:

x = (3.95 and -5.95)

Step-by-step explanation:

Given:

Hypotenuse = 9 cm

Perpendicular = (x+5) cm

Base = (x-3) cm

Find:

Value of x

Computation:

Using Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = [-b±√b²-4ac] / 2a

x = [-4±√16+376] / 2(2)

x = (3.95 and -5.95)

Answer:

P = $10,000

Step-by-step explanation:

The equation modeling a company's profit is P = 4x - 10000.

Substitute x for 5,000.

P = 4(5,000) - 10,000

P = 20,000 - 10,000

P = 10,000

The company's profit will be $10,000 if 5,000 floats are sold.

Answer:

B. 63

Step-by-step explanation:

Answer:

e2 = 112 + 92 − 2(11)(9)cos(140°)

Answer:

A

Step-by-step explanation:

2020 Edge

Answer:

2 5/6

Step-by-step explanation:

Answer:

the answer is 568/15 if you need help on to computer just look up advanced calculator and its called Desmos Scientific calculator

Step-by-step explanation:

Answer:

Call the sister's height x. The boy is twice as tall, so that's 2x. The father is 30 cm taller than the boy, so his height is 2x + 30. The combined height is 3.8m, which is 380cm. Now you can write an equation

x + 2x + 2x + 30 = 380

collect like terms

5x = 350

x = 70

the sister is 70cm tall, the boy is 2*70 = 140 cm, and the father is 140 + 30 = 170cm

Check that the heights add up to 3.8m: 70 + 140 + 170 = 380 cm = 3.8m. Correct

Step-by-step explanation:

hope it helps

Answer:

(2x−5)(x+1)

Step-by-step explanation:

Factor 2x^2−3x−5

2x^2−3x−5

=(2x−5)(x+1)

Answer:

Step-by-step explanation:

Are the following systems equivalent? How do you know?

For the equation;

2x+y= -4 ... 1

7x+7y=0 ... 2

Let us find the solution of the equation;

From 1;

y = 4 - 2x

Susbtitutw into 2;

7x + 7(4-2x) = 0

7x + 28 - 14x = 0

-7x + 28 = 0

7x = 28

x = 28/7

x = 4

Recall that y = 4-2x

y = 4 - 2(4)

y = 4 - 8

y = -4

The solution is (4, -4)

For the other equations;

5x+6y= 4 ... 1 * 1

4x+2y= -4 ..... 2 * 3

___________________

5x+6y= 4

12x+6y= -12

Subtract

5x-12x = 4 + 12

-7x = 16

x = -16/7

Since the solutions to both simultaneous equations are different, hence the systems of equations are not equivalent.

=(x+y) [(x+y) +3]

=(x+y) (x+y+3)

(x + y) (x + y+3) is the factorized form of (x + y)² + 3(x + y)​

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation is  (x + y)² + 3(x + y)​

We know that (a + b)²=a²+b²+2ab

Similarly (x + y)²=x²+y²+2xy

Substitute this in above equation

x²+y²+2xy+3(x + y)​

x²+y²+2xy+3x+3y

Factorising it we get

(x + y) (x + y+3)

Hence,  (x + y) (x + y+3) is the factorized form of (x + y)² + 3(x + y)​

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

Answer:

The answer is 75

Step-by-step explanation:

Sorry if am wrong.

Answer:

550

Step-by-step explanation:

12% of 550 is 66

Answer:

1/4

Step-by-step explanation:

K.C.F( keep, change, flip) hope this helps

Answer:

x < 2.4

Step-by-step explanation:

subtract 3.8 from each side to get x by itself. that leaves you with x < 2.4

Answer:

43

Step-by-step explanation:

Answer:

The correct graph is the first graph on the top left corner amongst the options

Step-by-step explanation:

The graph that shows that Cindy reads about 3/4 of the time while riding the car is given by the following relation;

Let 't' represent the time Cindy spend riding the car

Therefore, we are given that

The time Cindy spend reading = 3/4·t

Therefore, when Cindy rides the car for t = 4 hours, the time Cindy spend reading = 3/4·t = 3/4 × 4 = 3 hours

The coordinates of the point on the graph will therefore, be (4, 3)

Therefore, when the y-coordinate of the graph )the time Cindy spends reading) = 3, the x-coordinate of the graph (the time Cindy spends driving) = 4

Please find, the correct graph attached here, created with Microsoft Excel which is equivalent to the first graph on the top left corner amongst the options

Answer:

s = 32

Step-by-step explanation:

-5 (s - 30) = -10

Apply distributive property.

-5s + 150 = -10

We need to get "s" alone. By getting it alone, subtract 150 from both sides.

-5s + 150 - 150 = -10 - 150

-5s = -160

Wait a second, there is still a -5 on the s. We need to get s alone. Divide both sides by -5 to get s alone.

-5/-5s = -160/-5

s = 32

s = 32 is your answer AKA the last one. I hope this helps! Let me know if I got anything wrong or if you need any more help.

Answer:

[(6x5)÷2]x10x5x2=750

Answer:

i believe the fist one is a and second is b

Step-by-step explanation:

lol hope it helped u