Answer:
Equilateral triangle will always have a perpendicular bisector that is also an angle bisector.
Step-by-step explanation:
Equilateral triangle property:
- All sides of the equilateral triangle are equal.
- Angle of every equilateral triangle are equal to 60°.
- Every altitude of an equilateral triangle is also a median and a bisector.
- Each median is also an altitude and a bisector.
- Each bisector is also an altitude and a median.
Therefore, by equilateral triangle property;
Perpendicular bisectors are angle bisectors in an equilateral triangle Since, all sides and angles are the same in an equilateral triangle.
Also, the angle bisector of an equilateral triangle forms 90 degree angle with the opposite side and bisects that side.
Answer:
<em>Given </em><em>points </em><em>are </em><em>(</em><em> </em><em>-</em><em>2</em><em> </em><em>,</em><em> </em><em>-</em><em>5</em><em> </em><em>)</em><em> </em><em>and </em><em>slope </em><em>(</em><em> </em><em>m</em><em>) </em><em> </em><em>=</em><em> </em><em>-</em><em>4</em>
Step-by-step explanation:
<em>y </em><em>-</em><em> </em><em>y1</em><em> </em><em>=</em><em> </em><em>m </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>x1</em><em>)</em>
<em>y </em><em>+</em><em> </em><em>5</em><em> </em><em>=</em><em> </em><em>-</em><em>4</em><em> </em><em>(</em><em> </em><em>x </em><em>+</em><em> </em><em>2</em><em> </em><em>)</em>
<em>y </em><em>+</em><em> </em><em>5</em><em> </em><em>=</em><em> </em><em>-</em><em>4</em><em>x</em><em> </em><em>-</em><em> </em><em>8</em>
<em>4x </em><em>+</em><em> </em><em>y </em><em>+</em><em>5</em><em> </em><em>+</em><em> </em><em>8</em><em> </em><em>=</em><em> </em><em>0</em>
<em>4x </em><em>+</em><em> </em><em>y </em><em>+</em><em>1</em><em>3</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>
<em>y </em><em>=</em><em> </em><em>-</em><em>4</em><em>x</em><em> </em><em>-</em><em> </em><em>1</em><em>3</em>
<em>which </em><em>is </em><em>the </em><em>required </em><em>equation </em>
Answer:
12.56 inches^2
Step-by-step explanation:
To solve this we use pi*r^2
Radius is diameter/2
so the equation is pi*2^2
pi*4
12.56 inches^2
Answer:
$14.9
Step-by-step explanation:
Step one:
given data
we are told that Emma borrowed $89.40 from her sister to pay her back in 6 months.
let us solve for the amount she is to pay her sister every month.
amount to be paid per month= 89.40/6
=$14.9
So that every month she pays back her sister $14.9
we don't know her balance but every month there will be a deduction.
Hence the monthly change in her balance is reflected by a deduction of $14.9
I would give the answer but there are to many numbers and I don't want you to get confused by the answer I give you
