Solve for
`x, \angleABD, and \angleDBC`
x=25
`\angleABD=135`
`\angleDBC=45`
Find the midpoint of (-4,6) and (7,-8)
`m=((x_1+x_2)/2,(y_1+y_2)/2)`
(3/2,-1)
Write the following as a conditional statement. Is it true or false? If false, give a counterexample.
Girls have cooties.
"If you are a girl, then you have cooties."
True!
If `\bar(AC)` is 53, find x, `\bar(AB), and \bar(BC)`
x=11,
`\bar(AB)=18, \bar(BC)=35`
Solve for x and y
y=40
x=67
In simplest radical form, find the distance between (-4,3) and (2,-1)
`d=\sqrt((x_2-x_1)^2+(y_2-y_1)^2`
`\sqrt52`
`2\sqrt13`
Given the sequence of numbers below, write a conjecture that explains the pattern and give the next two numbers.
1, 4, 10, 22, 46, ...
Double and add 2!
2n+2
94, 190
Draw an elephant with a santa hat on top
Solve for `x, \angleBAC, \angleCAD, and \angleDAE`
x=3
`\angleBAC=69`
`\angleCAD=21`
`\angleDAE=90`
The midpoint of a line is at (3,4). If one of the endpoints is at (1,8), find the other endpoint.
`((x_1+x_2)/2,(y_1+y_2)/2)`
`((1+x)/2=3,(8+y)/2=4)`
(5,0)
Write the following as a conditional statement. Is it true or false? Also, give the converse.
Boys don't know basic hygiene.
Conditional: "If you are a boy, then you don't know basic hygiene."
True, no counterexamples in here.
Converse: "If you don't know basic hygiene, then you are a boy."
x=7,
`\bar(LM)=33`