Statement 1: WXYZ is a kite
Reason 1: Given
Statement 2: WX = XY and WZ = YZ
Reason 2: Definition of a kite
Statement 3: XZ = XZ
Reason 3: Reflexive property
Statement 4: Triangle WXZ = Triangle YXZ
Reason 4: SSS Congruence
Statement 5: Angle W = Angle Y
Reason 5: CPCTC
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Extra notes:
* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.
* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.
* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y
* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".
* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"
Answer:
51
Step-by-step explanation:
Answer:
y=64
Step-by-step explanation:
Answer:
In general, the salary S in terms of years of experience Y is S = 2700Y + 3200
Step-by-step explanation:
we start at 32000 without experience.
as the experience goes up, the wage increases 2700 per year so we can multiply 2700 by the years of experience to find the increase of salary. To find the salary of a certain employee with a certain amount of experience, plug the years of experience in for Y and solve.
for Y=0
S= 2700(0) + 3200 = 0 + 3200 = 0
for Y=2
S= 2700(2) + 3200 = 5400 + 3200 = 8600
for Y=5
S= 2700(5) + 3200 = 13500 + 3200 = 16700
for Y=7
S=2700(7) + 3200 = 2700(5) + 2700(2) + 3200 = 5400 + 13500 + 3200 = 22100
Answer:
Brand A is the better buy
Step-by-step explanation:
bag Which is the better buy?
Step one
Brand A: $5 for 80 pounds of sand
Let us find the unit cost
Unit cost =5/80
=$0.0625 per pound
Brand B: $14 for 175 pound
The unit cost is
=14/175
=$0.08 per pound
