Answer:
see explanation
Step-by-step explanation:
If ∠ D ≡ ∠ CED then CD ≡ CE
The base angles theorem states that if the sides of a triangle are congruent, that is isosceles triangle the the angles opposite these sides, the base angles, are equal.
Here we are using the converse of base angle theorem (b)
That is if 2 angles are congruent ( base angles ) then the sides opposite these angles are congruent.
Answer:
P [ 40000 ≤ X ≤ 45000 ] = 0,02773 or 2,8 %
Step-by-step explanation:
P [ 40000 ≤ X ≤ 45000 ] = ?
To find the probablity P [ X ≤ 40000 ] = ?
z(s) = ( X - x ) / σ
z(s)= ( 40000 - 6000 )/ 8300
z(s) = -20000/8300
z(s) ≈ - 2,41
Then
from z-table we find P [ X ≤ 40000] = 0,00820
Now again:
For P [ X ≤ 45000 ]
z₂ = ( X - x ) / σ
z₂ = ( 45000 - 6000 ) / 8300
z₂ = - 15000 / 8300
z₂ = - 1,8072
z₂ ≈ 1,81
From z - table
For P [ X ≤ 45000 ] = 0,03593
Then:
P [ 40000 ≤ X ≤ 45000 ] = 0,03593 - 0,00820
P [ 40000 ≤ X ≤ 45000 ] = 0,02773 or 2,8 %
Answer:
Step-by-step explanation:
4
Answer:
6
Step-by-step explanation:
From the Trapezoid attached :
EF = GT
FG = LA
LE = AT = 10
LA = 24 ; FG = 24
FG + EF + GT = 40
Let : EF and GT = x
FG + 2x = 40
24 + 2x = 40
2x = 40 - 24
2x = 16
x = 16 ÷ 2 = 8
Hence, EF = GT = 8
Using Pythagoras :
Opposite² = hypotenus² - Adjacent²
LF² = LE² - FE²
LF² = 10² - 8²
LF² = 100 - 64
LF² = 36
LF = √36
LF = 6