Given:
In triangle ABC, D is incenter m∠ACB = 3x + 54 and m∠ACD = x + 31.
To find:
m∠ACD.
Solution:
We know that,
Incenter of a triangle is the intersection point of all angle bisectors.
...(i)
Now,
[Using (i)]
Substitute the values, we get
The value of x is 8.
Therefore, the measure of angle ACD is 39 degrees.
We can approach this as how many 2 person female committees can we make that we can add the male to.
5 C 2 (combinations of 5 taken 2 at a time order doesn't matter)
<u>5 x 4</u> = <u>20</u> = 10 ways. Since the male can join any of the groups there are
2 x 1 2 still 10 ways.
<u>
</u>Here's another way of looking at it. Let's call the five females A, B, C, D and E
<u>
</u>Here are the pairings:
<u />AB BC CD DE
AC BD CE
AD BE
AE The male can be the 3rd person in any group. Once
again, there are 10 ways to do this.
Answer:
Option a is correct.
The rotation for the transformation to △A'B'C' is , rotation of 90 degree.
Explanation:
In △ABC
The coordinate of point A = (1,1) , B = (3,1) and C = (1,4).
Rotate triangle ABC 90 degree's around the origin;
The rule for this transformation is:- (x,y) to (-y ,x)
A(1,1) to A' (-1,1) ,
B(3,1) to B'(-1 , 3) and
C(1,4) to C' (-4,1)
therefore, rotation of 90 degree counter clockwise rotation around the origin results in the transformation of △ABC to △A'B'C'
Answer:
The answer is 0.49
Step-by-step explanation:
3.14-2.65=0.49
This in an expression is 3 <= x <= 9
Hope this helped!