Given: WXZY ,WYZX Prove: ZWZZ
w
Х
Y
Z
O A. Given: WXZY and WY ZX
XYXY : Reflexive Property of Congruence
AW XY AZY X : SSS Postulate
ZW ZZ corresponding parts of congruent triangles
O
B. Given: WXZY and WYZX
ZWYZZYZX
alternate interior angles of parallel sides
ΔW XY ΔZY X X SAS Postulate
ZW LZ
corresponding parts of congruent triangles

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

idk lol xd

step-by-step explanation:

ez do it yourself lazy

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places