How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence?
Provide the definitions of these congruency methods.

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

Answer:

5

Step-by-step explanation:

We can solve by solving for x

2x-6 + 1 + x-4 = 18

3x-9=18

3x=27

x=9

Plug in 9 for x in Segment RS and you get (9) - 4 = 5

Hope this Helps!

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Answer:

f(g(2)) = 2

Step-by-step explanation:

g(2)

g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]

f(g(2))

[tex]g(2) = -3[/tex]

Thus

[tex]f(g(2)) = f(-3)[/tex]

Looking at the table, when [tex]x = -3, f(x) = 2[/tex]

Thus: [tex]f(g(2)) = 2[/tex]

Answer:

24 tiles^2

Step-by-step explanation:

Length = 6

width = 4

Area = Length x width

        = 6 x 4

        = 24 tiles^2

Answer:

5

just took the test

Answer:

Step-by-step explanation:

its 5

Answer:

Acute angled and scalene because if the sum of two angles is 110 then the third angle should be 70 which is acute angle

Answer:

90 Students.

Step-by-step explanation:

1/2 (Half) of 180 is 90.

Answer:

90 students will choose basketball

Step-by-step explanation:

half (1/2) choose basketball and half of 180 is 90

Step-by-step explanation:

everything can be found in the picture

Answer: the length of the base is 15 kilometers.

Step-by-step explanation:

formula : Area of parrallelogram  = Length of base x height

Given: Area of parallelogram = 300 square kilometers

height = 20 kilometers

Substituting values in the formula , we get

300 = Length of base x 20

Length of base  = [tex]\frac{300}{20}[/tex]

= 15 kilometers

Hence, the length of the base is 15 kilometers.

Answer:

K' (-2, -2)

L' (3, -2)

G' (4,0)

H' (3,2)

J' (-2, 2)

Step-by-step explanation:

list all the coordinates of the image, and apply the y=x rule of reflection. The line y=x states that the previous y is now in the x and vice versa.

K(-2, -2)

L(-2, 3)

G(0,4)

H(2,3)

J(2, -2)

Answer:

4

Step-by-step explanation:

add 3 to 13

then divide 16 by 4 that gives you your final answer of 4

1/2

Hope this helps! :)

______________

Answer:

1/2

Step-by-step explanation:

you use rise/run so its  (0,1) and (2,2) you move to the right 2 points and rise 1 so its 1/2 so its 0.50

Answer:

Step-by-step explanation:

Use the slope formula here along with the fact that the slope is equal to 1:

[tex]1=\frac{-6-1}{x-4}[/tex] and

[tex]1=\frac{-7}{x-4}[/tex]  and cross multiply to get x - 4 = -7 so

x = -3

Answer:

The domain is all the x values of a function while the range is all the y values of a function.

Answer:

Step-by-step explanation:

The domain of a function is the set of input (x-) values for which the function is defined.  The range is the set of output (y-) values; often there are limitations.

For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y.  The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1.  There is no graph above y = -1 or below y = +1.

Answer:

We see that opposite angles are two angles between two secant lines (“secant lines” simply means two lines that cross each other) that share a vertex (that is why they are called “vertical” angles). We see also that they are not adjacent (which means next to each other) but opposite each other.

Step-by-step explanation:

Vemos que los ángulos opuestos son dos ángulos entre dos líneas secantes (“líneas secantes” simplemente significa dos líneas que se cruzan) que comparten un vértice (por eso se llaman ángulos “verticales”). También vemos que no son adyacentes (lo que significa uno al lado del otro) sino uno frente al otro.

Answer:

Step-by-step explanation:

I would have thought the answer would be whole numbers...

using top line....

5x-5y + 7x-15 = 180 (that is a line)

12x - 5y = 195

using bottom line

4x+ 4y +2x+ y = 180

6x + 5y =180

~~~~~~~~~~~~~~~~~~

12x - 5y = 195

6x + 5y =180

(fives cancel)

18x = 375

x = 20.83

y= 11

Answer:

x=125/6

y=11

Step-by-step explanation:

Same side interior angles have a sum of 180 if the transversal passes through a pair of parallel lines.

So we have the following two equations:

7x-15+5x-5y=180

4x+4y+2x+y=180

Let's simply(combine like terms):

12x-5y-15=180

6x+5y=180

Add 15 on both sides for first equation:

12x-5y=195

6x+5y=180

Equations are set up so we can use linear combination or elimination (adding equations together to eliminate y):

18x=375

Divide both sides by 18:

x=375/18

Simplify (reduce fraction):

x=375/18 ÷3/3=125/6

Now let's go back and find y using either equation:

6x+5y=180 with x=125/6

6(125/6)+5y=180

125+5y=180

5y=180-125

5y=55

y=11

x=125/6 and y=11

Answer:

The answer is (0,19) or (0,-5).

By distance formula,

after squaring on both sides we and solving we get,

so, y=19 or -5

Step-by-step explanation:

you get the idea, but i don't think this is the answer yet?

Answer:

12 & 7

Step-by-step explanation:

12 + 7=19

12 - 7=5

Answer:

12 & 7

Step-by-step explanation:

*)Solve the system of equations:

x+y=19

x-y =5

=> 2y=14 =>y = 7

y=7 => x = 12

Answer:

B) =

Step-by-step explanation:

When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.

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Have a great summer :)

Answer:

I got 53% but I'm not sure

Step-by-step explanation:

if 53% of students take the bus, then 47% of students DON'T.

25% (the percent of non-riding students who were late) of 47 is about 53%

Answer:mj,bhvb n

mnbnmb mbnmbnb

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

i think this is the answer

Answer:

x=9

Step-by-step explanation:

Similar triangles

8/20 = 6/(x+6)

==> 2/5 = 6/(x+6)

2/5x+12/5=6

2/5x=18/5

x=9

Answer:

24

Step-by-step explanation:

Area = width * length

Given width = 2cm

Given length = 12cm

Area = 2 * 12 = 24

Answer:

There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.

2.8125

Step-by-step explanation:

use thing below to get answers or count them

Answer:

105˚, 75˚

Step-by-step explanation:

<2 is 75˚ by same side angles of a transversal.

<1 is supplementary to <2 so 180-75 = 105˚