Which rule explains why these triangles are congruent?

Answer:

15) Slope (m) = -7/5

16) Slope (m) = 0

17) Slope (m) = 1/0 (It's an undefined slope, in other words it's just a vertical line)

Step-by-step explanation:

Use this formula for each, to find slope⤵⤵⤵

[tex] \frac{y {2} - y1}{x2 - x1} [/tex]

15) ⤵

[tex] \frac{10 - 3}{ - 1 - 4} = \frac{7}{ - 5} = - \frac{7}{5} [/tex]

16) ⤵

[tex]\frac{ - 5 - ( - 5)} {2 - 3} = \frac{0}{ - 1} = 0[/tex]

17) ⤵

[tex] \frac{ 3 - 2}{ - 5 - ( - 5)} = \frac{1}{0} [/tex]

Hope this helps :)

Answer:

Length :

12

feet

Width :

10

feet

Explanation:

Let the length of the garden be

x

feet.

Therefore, the breadth or width of the garden is

(

x

−

2

)

feet.

So, According to the problem,

x

(

x

−

2

)

=

120

⇒

x

2

−

2

x

=

120

⇒

x

2

−

2

x

−

120

=

0

[Transposing 120 to the L.H.S]

⇒

x

2

+

10

x

−

12

x

−

120

=

0

[Breaking

−

2

x

as

10

x

−

12

x

]

⇒

x

(

x

+

10

)

−

12

(

x

+

10

)

=

0

[Taking the like terms aside]

⇒

(

x

+

10

)

(

x

−

12

)

=

0

[Completing the factorisation]

We know, When two real quantities are multiplied and the product is zero, then one of them or both of them should be zero.

So, Either

x

+

10

=

0

or

x

−

12

=

0

So,

x

=

−

10

or

12

As

x

indicates length,

x

can't be negative.

So,

x

=

12

.

So, The length of the garden is

12

feet and the width of the garden is

(

12

−

2

)

feet =

10

feet.

Step-by-step explanation:

plz mark me as a brainliest

Answer:

Step-by-step explanation:

First turn the mixed fractions into improper fractions

--> ([tex]\frac{2*5+4}{5}[/tex]) × ([tex]\frac{-5*5+4}{3}[/tex])

      [tex]\frac{14}{5}[/tex]×[tex]\frac{-17}{3}[/tex]

Then multiply. the answer becomes −15 13/15

Answer:

B4= 4-6(4-1)

B4= 4-7(3)

B4= 4-18

B4= -14

Answer:

-19 degrees fahrenheit?? and -7 degrees celcius??

Step-by-step explanation:

Answer:

[tex] \longmapsto4 \sqrt{3} + 2 \sqrt{6} .[/tex]

Step-by-step explanation:

[tex]\sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}}}[/tex]

By Rationalizing the denominator:-

[tex] = \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} \times \dfrac{2 + \sqrt{2}}{2 + \sqrt{2}}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{(2)^2 - (\sqrt{2})^2}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{4 - 2}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{2}}[/tex]

[tex] = \sf{\dfrac{\not{4}\sqrt{3}(2 + \sqrt{2})}{\not{2}}}[/tex]

[tex] = \sf{2\sqrt{3}(2 + \sqrt{2})}[/tex]

[tex] = \sf{4\sqrt{3} + 2\sqrt{6}}[/tex]

[tex] \therefore \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} = 4\sqrt{3} + 2\sqrt{6}}[/tex]

Answer:

4/5=16/20

4/3=4/3 or 1 1/3

3/7=0.42857

13/15=0.86666

Step-by-step explanation:

i dont know

if i did that right but your welcome

Answer: there are 2 whole in 7/3

Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3

Answer:

x = -2

Step-by-step explanation:

It's a matter of rearranging the equation to make x the subject. Simple arithmetic.

Original equation:

-1.2x + 2.5 = 0.8x + 6.5

Start moving constants with variables to left, and constants without variables to right:

-1.2x - 0.8x + 2.5 = 6.5

-1.2x - 0.8x = 6.5 - 2.5

Collect like terms

-2x = 6.5 - 2.5

-2x = 4

Divide both sides by -2 to make x the subject

x = 4/-2

x = -2

Answer: x = - 2.0

Step-by-step explanation:

We can find x by making it the subject of the equation and simplifying:

     −1.2x+2.5=0.8x+6.5      [group like terms across the equal sign]

      -1.2x - 0.8x = 6.5 - 2.5     [simplify]

              - 2.0x = 4                 [divide both sides by -2.0]

                     x = -2.0

Check:

 −1.2(-2.0)+2.5  =  0.8(-2.0)+6.5

                4.9   =   4.9 ✅

Answer:

y=4x-2

Step-by-step explanation:

m=4

put what numbers you know into the equation for b.

-2=4(0)+b

-2=0+b

-2=b

now put that into the equation

y=4x-2

Answer:

f(- 4) = 56

Step-by-step explanation:

Substitute x = - 4 into f(x) , that is

f(- 4) = 3(- 4)² - 2(- 4) = 3(16) + 8 = 48 + 8 = 56

25.5

Step-by-step explanation:

The way to do this is:

80 * 3.14 equals to roughly 25.5

Answer: 22

Step-by-step explanation:

11 - 6 = 5

4 x 5 = 20

20 + 2 = 22

' pls can i have brainliest? i need it for my goal'

Answer:

22

Step-by-step explanation:

Solve whats in the paranthesis: (11-6) = 5

New problem: 4(5) + 2

Then multiply: 20+2

Finally add both numbers together: 22

Answer:

he seventh angles measure is 103

Step-by-step explanation:

Interior angles = (number of side in the polygon - 2) times 180.

So Heptagon interior angles = (7-2)(180) = 900

To find the missing angles add all the given angles together (122, 153, 168, 105, 162, and 87) = 797.

Now   The measure of the seventh angles = total angles measure - the six given angles,

  The seventh angles measure is 103  

   900 - 797 = 103

Answer:

1/8 x 1/4=18

Step-by-step explanation:

I think it times

Answer:

y+x=1

y-x=1

Step-by-step explanation:

Well If x is 0, its pretty straight forward.

1+0=1

1-0=1

lol hope this helps

Answer:

2nd option

Step-by-step explanation:

Substitute the values of x from the domain into f(x) for range

f(2) = 2³ + 1 = 8 + 1 = 9

f(3) = 3³ + 1 = 27 + 1 = 28

f(4) = 4³ + 1 = 64 + 1 = 65

range is {9, 28, 65 }

Answer:

hwhiwbshs bengshhwwvvw

Step-by-step explanation:

Answer:

I think it's A. I may be wrong tho.

Answer: A. Functions f, g, and h

Step-by-step explanation: Plato answer

Answer:

b

Step-by-step explanation:

Answer:

None Of These

Step-by-step explanation:

Because you cannot determine what the two sides are because there are 2 missing variables.

This is a linear equation and has infinite solutions.

Another equation matching this is needed to find a specific answer.

Hope This Helps :)

Answer:

64 degrees

Step-by-step explanation:

since x is corresponding to 64, they are congruent.

Answer:

x = 64

Step-by-step explanation:

x and 64° are corresponding angles and are congruent , then

x = 64

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Answer:

[tex]\frac{9}{39}[/tex]

Step-by-step explanation:

Multiply the two denominators together and the two numerators:

[tex]\frac{8}{13} * \frac{2}{6} = \frac{8 * 2}{13 * 6}[/tex]

[tex]= \frac{16}{78}[/tex]

Divide both numbers by two to simplify:

[tex]\frac{18 / 2}{78 / 2} = \frac{9}{39}[/tex]

So the simplest form is:

[tex]\frac{9}{39}[/tex]

Hope this helps!

Answer:

41.75

Step-by-step explanation:

I think my math might be wrong

Answer:

1st quadrant