The missing steps are each right angles and 
.
Solution:
Step 1: Given data:
Step 2: In the two polygons,
and 
(Each right angle)
Step 3: Given
Step 4: By third angle theorem,
If two angles in one triangle are congruent to the two angles in the other triangle, then the third angles in the triangles also congruent.
Step 5: By the definition of congruent polygons,
If two same shape polygons have all the angles are congruent and all the corresponding sides are congruent then the polygons are congruent.
Hence 
.
Therefore the missing steps are each right angles and .
Answer:
Jack - $28
David - $17
Step-by-step explanation:
Jack has 2d-6 where d is David's money. David has d money. Together they have 45 and we add the two together.
2d-6+d=45
3d-6=45
3d=51
d=$17
We can then substitute back and find 2(17)-6=34-6=$28.
Answer:
$184.5
Step-by-step explanation:
so we know they are charging x hours for renting plus a flat rent fee of 32.5
r(x)= 9.5 x + 32.5
r(16)= 9.5 (16) + 32.5
r(16)= 152+ 32.5
r=$184.5
Answer:
l=48, w=20
Step-by-step explanation:
Let the width of the pool be w feet, then the length will be:
The area of the pool is 960 square feet.
This means that:
Expand and rewrite in standard form to get:
Factor to get:
We discard the negative value because magnitude is positive.
This means
