What is the missing reason for the 5th step in the proof below? Given: Line AE intersects RV at point N.
Prove: Vertical angles ZANR and ZVNE are congruent.
Å
N
STATEMENTS
Line AE intersects RV at point N.
m ANV + ZVNE - 180
MZANV - 180 - ZVNE
REASONS
Given statement
Definition of linear pair:
These two angles form a linear pair, so their
measures sum to 180 degrees
Subtraction:
m2VNE is subtracted from both sides of the
equation
Definition of linear pairs
These two angles also form a linear pair, so their
measures sum to 180 degrees
ZANV + MZANR - 180
(180 - MZVNE)+ZANR - 180
?
ZANR = m2 VNE
ZANR a ZVNE
Simplify:
Simplifying of the equation by subtracting 180 from
both sides and adding m ZVNE to both sides.
Definition of congruent angles
These angles have the same measure, so by
definition, they are congruent.
QED

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

idk wbu

step-by-step explanation: