Find the measures of the three angles, in radians, of the triangle with the given vertices: d(1,1,1), e(1,−5,2), and f(−2,2,7).
Oduvanchick [21]
Consider triangle DEF with vertices D(1,1,1), E(1,-5,2) and F(-2,2,7).
1. Find

Then

2. Find

Then

3. Find

Then

4.

5 People can be chosen in 1287 ways if the order in which they are chosen is not important.
Step-by-step explanation:
Given:
Total number of students= 13
Number of Students to be selected= 5
To Find :
The number of ways in which the 5 people can be selected=?
Solution:
Let us use the permutation and combination to solve this problem

So here , n =13 and r=5 ,
So after putting the value of n and r , the equation will be





Answer:
Hi,
In converting Chilean Pesos(CLP) to Argentine Pesos(ARS) relative to the value of $ then;
$1.00 CLP = $ 0.06 ARS
Step-by-step explanation:
In converting the Chilean Pesos (CLP) to USD, 1CLP equals 0.0015 $
And while converting the Argentine Pesos(ARS) to USD, 1ARS equals $0.0245
Hope this helps!
Answer:
1/9
Step-by-step explanation:
243/729 to it's equivalent fraction is
243/729 divide numerator and the denominator by 3 = 81/243
81/243 divide numerator and denominator by 3 =27/81
27/81 divide both numerator and denominator by 3 =9/81
9/81 divide both numerator and denominator by 9 =1/9
answer = 1/9
Therefore, 243/729 reduced to it's equivalent fraction is = 1/9
Answer:
angle FGE = 36
angle GEL = 72
and angle GFH = 144
Step-by-step explanation:
well you know that angle GEF = 180 -2x
and that angle GFE = 180 -4x
so all the angles in triangle GEF must add to 180
so you have 180 = 180 -2x + 180 -4x + x
180 = 360 -5x
5x = 180
x = 36
so angle FGE = 36
angle GEL = 72
and angle GFH = 144