Answer:
Isosceles triangle:
* two sides are equal.
* the base angle are always equal and
* the altitude is a perpendicular distance from the vertex to the base.
Since, the triangle ABC is an isosceles and AC is the base
⇒ AB=BC and 
Also, AD is the angle bisector of 
, which implies that it cuts the angle at A in two equal halves,
let 
, then the bisectors cuts it in 
.
As per the given information, we know 
is 110°, therefore, the line BDC forms a supplementary angle;
⇒
As shown in picture given below:
By sum of all interior angles in a triangle is 180 degree, thus
or
Simplify:
Therefore, the 
.
Now, to find the angle B, we have;
[Sum of the measure of the angles in a triangle is 180 degree]
or
or
Simplify:
.
Answer:
Step-by-step explanation:
C. -11<x<-4
|-2x-15|<7 split into possible cases
- 2x - 15 < 7, - 2 x - 15 > 0
-(- 2x - 15 ) <7, -2x - 15 < 0 solve the inequalities
x>-11, x < -15/2
x< -4, x> -15/2 Find the intersections
[ -11, -15/2 ]
-15/2, -4] Find the union
[-11, -4 ] Simplify
-11<x<-4
Answer:
36°
Step-by-step explanation:
I used an online protractor to solve it
Answer:
The simplest answer would just be 14:19
However the unsimplified answer is 1260:1710
