Answer:
-5 < x < 9
Step-by-step explanation:
By Hinge theorem,
"If two sides of a triangle are congruent to the two sides of another triangle, and the included angle of one triangle is larger than the included angle of the second, then the 3rd side of triangle one will be larger than the third side of the second"
23 > 21
Therefore, 42° > (3x + 15)°
42° - 15° > 3x
27 > 3x
9 > x
And (3x + 15) > 0
3x > -15
x > -5
Therefore, range for x will be,
-5 < x < 9
First, change 2/5 into a decimal by dividing 2 by 5. Decimal= .4. Now move the decimal 2 places to the right to find percentage. Answer is 40%
Answer:
The coordinates are 
and 
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where 
is the vector translation.
If we know that 
and 
, then the vector translation is:
Then, we determine the coordinates for Y' and Z':
The coordinates are and .
Answer:
b. False
Step-by-step explanation:
P(X & Y) = 0.77 + 0.65 - 0.9 = 0.52
P(X) × P(Y) = 0.65×0.77 = 0.5004
Since P(X&Y) and P(X)×P(Y) are not equal, they are not independent
Answer:
Its D
Step-by-step explanation:
Rewrite the whole as a fraction using 2 as the denominator :
- 3 is also equal to 3/1
- New problem: 3*2/2
Set up the new problem
New problem: (n+4) - (3*2)/2
this equals: n-2/2
- 13 is equal to 13/1
(n-2) - (13 • 2) n - 28
———————————————— = ——————
2 2
Okay, n-28/2=0
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
n-28 = 0
:)
