Answer:
The options to complete the proof are placed in the boxes of the attached drawing created with Microsoft Word
Step-by-step explanation:
Please see attached drawing of the proof created with Microsoft Word
The two column proof can be presented as follows;
Statement
Reason
Given
m∠3 + m∠4 = 180°
Linear pair postulate
∠1 ≅ ∠3
Corresponding Angle Theorem
m∠1 + m∠4 = 180°
Transitive Property
m∠1 and m∠4 are supplementary
Definition of supplementary angles
Answer:
66.28% of students study more than 8 hours
Step-by-step explanation:
The percent of students study more than 8 hour can be calculated as
P(X>8)=?
P(X>8)=P((X-mean)/sd>(8-9.92)/4.54)
The calculated z-score is -0.42.
P(X>8)=P(Z>-0.42)
P(X>8)=P(0<Z<-0.42)+P(0<Z<∞)
P(X>8)=0.1628+0.5=0.6628.
Thus, 66.28% of students study more than 8 hours.
The base number is 7, the exponent is 2, and I think the expanded form is 7x7
I = PRT is the formula to use for this.
I = (1900)(.11)(5)
I = 1045
1900 + 1045 = 2945
I need to pay $2945 for the refrigerator.