Statements Reasons
Drag these
FB IEC
m ABF m&FBC = 180; m&ECD+ m ECB -
180
Given
Linear pairs are supplementary
Definition of Supplementary
Subtraction Property of Equality
40+ m2FBC = 180 ; 140+ m2ECB = 180
Same-side Interior Angles are Supplementary
Converse
Substitution Property
m FBC is supplementary to m ECB
M ABF = 40;mECD = 140
m FBC + m2ECB = 180
Addition Property of Equality
m_FBC = 140;m ECB = 40

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

this answer is !

slope =   (y2 -y1) ÷ (x2 -x1)

slope = (0 -0) / (-5, -7)

slope = 0 / -12 = 0

the slope of the line is zero.   it is perfectly horizontal.

step-by-step explanation:

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.