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:
V= (Base area) height
V = Bh
Step-by-step explanation:
There are 52 cards in a standard deck, and 4 suits. There is one 9 per suit, so 4 cards, plus one 10 per suit, so 8 cards. 8 cards divided by 52 cards in a deck is 0.15384615 or 0.154.
Answer: 64%
Step-by-step explanation:
The score you have entered means that the individual who took the test is at the sixty-fourth percentile – their percentile rank is 64%. This means that the student had a test score greater than or equal to 64% of the reference population. Conversely, 36% of students scored equal to or higher than the individual tested.
Answer:
Step-by-step explanation:
2 fractions with the numerator and different denominators can be compared when you find the lowest common denominators (LCD. For example 1/2 and 1/3 have the same numerator, but the denominators are not so you have to find the LCD. The LCD, in this case, is 6, so the fractions would be 3/6 and 2/6 and now if you compare you can tell that 3/6 is greater than 2/6 so 1/2 is greater than 1/3.
