Given: ∠XWY ≅ ∠ZYW ∠X and ∠Z are both right angles. Prove: YXW ≅ WZY

A. Given: ∠XWY≅∠ZYW , ∠X and ∠Z are both right angles.

∠X≅∠Z ; they have the same measure.

∠XYW≅∠ZWY ; alternate interior angles of parallel lines.

WY¯¯¯¯¯¯¯≅WY¯¯¯¯¯¯¯ ; Reflexive Property of Congruence.

YXW≅WZY by SAS

B. Given: ∠XWY≅∠ZYW , ∠X and ∠Z are both right angles.

∠X≅∠Z ; they have the same measure.

WY¯¯¯¯¯¯¯≅WY¯¯¯¯¯¯¯ ; Reflexive Property of Congruence.

YXW≅WZY by AAS

C. Given: ∠XWY≅∠ZYW , ∠X and ∠Z are both right angles.

∠X≅∠Z ; they have the same measure.

WY¯¯¯¯¯¯¯≅WY¯¯¯¯¯¯¯ ; Reflexive Property of Congruence.

YXW≅WZY by SAS

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.