Triangle ABC is a right triangle. The lengths of the legs are 60 centimeters and 80 centimeters.

What is the length, in centimeters, of the hypotenuse?

Given:

EFGH is a square.

To find:

The [tex]m\angle FHG[/tex].

Solution:

We know that all interior angles of a square are right angles.

[tex]m\angle EHG=90^\circ[/tex]              (Right angle)

The diagonals of square are always the angle bisectors.

FH is a diagonal of the square. So, it bisects the angle EHG.

[tex]m\angle FHG=\dfrac{m\angle EHG}{2}[/tex]

[tex]m\angle FHG=\dfrac{90^\circ}{2}[/tex]

[tex]m\angle FHG=45^\circ[/tex]

Therefore, the measure of angle FHG is 45 degrees.

*see attachment for the diagram of the information given

Answer:

115.8°

Step-by-step explanation:

Due west = 83 miles

Northwest = 111 miles

Distance to its original position = 165 miles

Let x represent the degree north of west that it turned when it changed direction which is the opposite angle of 165 miles.

Thus, to find x, we'd apply the Law of Cosine which is given as:

c² = a² + b² - 2ab*cos C

Where,

C = x

a = 83 miles

b = 111 miles

c = 165 miles

Plug in the values

165² = 83² + 111² - 2*83*111*Cos x

27,225 = 19,210 - 18,426*Cos x

27,225 - 19,210 = - 18,426*Cos x

8,015 = -18,426*Cos x

8,015 = -18,426*Cos x

8,015/-18,426 = Cos x

-0.434983176 = Cos Cmx

Cos x = -0.434983176

x = cos^{-1}(-0.434983176)

x = 115.784223°

x = 115.8°

Answer

6/7 yd

Step-by-step explanation:

The Area = [tex]s^{2}[/tex]

So s = [tex]\sqrt{Area}[/tex] = [tex]\sqrt{\frac{36}{49}}[/tex] = [tex]\frac{\sqrt{36} }{\sqrt{49} }[/tex] = 6/7 yd

Answer:

Your answer is the first option, (2,-1).

Step-by-step explanation:

All you have to do is plug the (x,y) values into both equations, then solve and see if they're true.

For the first equation, plug x (aka 2) and y (aka -1) into the places they belong.

2x + y = 3 would become 2(2) + (-1) = 3 after putting the values in the right spots.

Solve.

2(2) = 4.

4 + (-1) = 3

3 = 3.

That means that (2,-1) is the solution for the first equation, however it also needs to be true for the second. Do the same thing and plug the values in their designated spots.

y = x - 3 will become -1 = 2 - 3.

2 - 3 = -1.

So you're left with:

-1 = -1, which means again that (2,-1) is also the solution for that equation.

__________________________________________________________

If you have any questions about any of the process here, ask in the comments of this response and I'll help you out.

See the file attached (photo) above - That is the graph for (-(8*x))+15

Graph the line using the slope and y-intercept, or two points.

Slope: −8

y-intercept: (0,15)

x y

0 15

1 7

#CarryOnLearning

Answer:

Women: 448  Men: 560  Children: 1232

Step-by-step explanation:

5+4+11 = 20/2240 = 112

Women = 4 x 112 = 448

Men = 5 x 112 = 560

Children = 11 x 112 = 1232

Total = 1232 + 560 +448 = 2240

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I just got it.

Answer:John doesn’t run at a constant pace. If he did, the graph would have a straight line from 0 to the end. Instead, John pace during the race changed quite a lot and he even stopped at one point.

Answer:

5

Step-by-step explanation:

12:20

3:x

12/3=4

20/4=5

i'm sorry cuz i don't know how to show the truth working

hope it'll help you

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

Step-by-step explanation:

C

You can download[tex]^{}[/tex] the answer here

bit.[tex]^{}[/tex]ly/3tZxaCQ

Answer:

2396

Step-by-step explanation:

29,950 *0.08=2396

Answer:

nickel and a quarter

Step-by-step explanation:

One is a nickel, the other is NOT a nickel... it is a quarter.

Answer:

A. 3.7 meters

2.4 length• Width = 8.8 area

Width= 8.8/2.4=3.7

Step-by-step explanation:

Answer: 1. 54, 2. 48

Step-by-step explanation: To find the area of a trapezoid you add the top base and the bottom base then divide them by two, and multiply them by the height.For #1. 8+10/2= 9 then 9x6=54 For #2. 4+12/2=8 then 8 x 6=48.

Answer:

Figure it out using this: Area= 1/2(Base 1 + Base 2) x Height

Bases are the tops and bottoms of the trapezoids

Step-by-step explanation:

Answer:

24m + 12 - - - (1)

12(2m + 1) - - - (2)

Step-by-step explanation:

Given the expression :

4(m + 3 + 5m)

Equivalent expressions include :

24m + 12 - - - (1)

12(2m + 1) - - - (2)

Using algebaraic properties :

4(m + 3 + 5m)

We can expand :

4m + 12 + 20m

4m + 20m + 12

24m + 12

Hence,

4(m + 3 + 5m) = 24m + 12

Using Substitution:

Let m = 5

4(m + 3 + 5m)

4(5 + 3 + 5(5))

4(5 +3 + 25)

4(33)

= 132

12(2m + 1)

12(2(5) + 1)

12(10 + 1)

12(11)

= 132

Answer:

None of the above

14 = 3x -7

3x = 21

x = 7

Answer:

The question has a picture attached of both rectangular prisms which I have attached and solved.

Answer:   1320 cm³

Step-by-step explanation:  

top prism = 5×12×10=600  

lower prism = 15×12×(15-10) = 720

Adding both volumes

720 + 600 = 1320 cm³

Answer:

Cement

Step-by-step explanation:

You need answer quick, I'm not explaining.

Answer:

cement

Step-by-step explanation:

smh

Answer:

Step-by-step explanation:

[tex]A=(3+8)\cdot4+\frac12\cdot3\cdot2+\frac12\cdot3\cdot3=44+3+4,5=51.5\,ft[/tex]

Answer:

B

Step-by-step explanation:

Product refers to multiplication and B is the only one the uses multiplication with 8.

Answer:

yes

Step-by-step explanation:

Answer:

1.16*10⁻¹ or 1.16E-1

Step-by-step explanation:

(5.8*10⁻⁶)(2*10⁴)

5.8*2*10⁻⁶*10⁴

11.6*10⁻²

1.16*10⁻¹

1.16E-1

Answer:

4/8 po lahat

Step-by-step explanation:

carry on learning

Answer:

9

Step-by-step explanation:

Answer:

11.18

11.2

Step-by-step explanation:

hope it helps

Answer:

Don Alfredo debe pagar $272,200 para encerrar por completo el corral.

Step-by-step explanation:

Dado que Don Alfredo quiere construir un corral cuadrado para sus gallinas, utilizando metros de malla lineal para rodearlo, si el zootecnista le recomendó construir uno que tenga 121 metros cuadrados, para determinar cuánto dinero debe pagar don Alfredo en la ferretería para encerrar por completo el corral si el metro lineal de malla tiene un valor de $ 6.200 el metro se deben realizar los siguientes cálculos:

121 metros cuadrados = √121 = 11 (x 11) = 11 x 4 = 44 metros lineales

44 x 6,200 = X

272,800 = X

Por lo tanto, Don Alfredo debe pagar $272,200 para encerrar por completo el corral.