Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
Given
Isosceles Triangle Theorem
Angle Addition
Given
Definition of Bisector
Substitution
Angle Addition
Given
Definition of Bisector
Substitution
Substitution
Division Property of Equality
Reflexive Property
Angle-Side-Angle Congruence*
CPCTC
*For clarification:
∠Y = ∠Z
YZ = YZ (or ZY)
∠PZY = ∠QYZ
So, Angle-Side-Angle Congruence:
ΔYZP is congruent to ΔZYQ
Answer:
x = 7.5
Step-by-step explanation:
A scale factor of 0.75 means all the dimensions are multiplied by 0.75. When the dimension 10 is multiplied by 0.75, it becomes ...
... x = 0.75 × 10 = 7.5
Answer:
The wedding planner must have purchased 28 small lanterns and 12 large lanterns.
Step-by-step explanation:
Answer:
ZB= 39°
Step-by-step explanation:
complementary angles are angles that add up to equal 90
equation: 7x + 23 + 5x + 19 = 90
add like terms: 12x + 42 = 90
subtract 42 from both sides: 12x = 48
divide both sides by 12: x = 4
plug in the value of x to the equation for ZB: 5(4) + 19
simplify: ZB= 39°
Answer:y=x/3
Step-by-step explanation:
x-3y=0
or,x=3y
y=x/3