Answer:
Step-by-step explanation:
you do 11\3 divided by 1\5
Answer:
1001
Step-by-step explanation:
<u>Given</u>:
The measures of the alternate exterior angles are (180 - x)° and x°
We need to determine the value x that makes m ║ n
<u>Value of x:</u>
We know that the measures of alternate exterior angles are equal.
Thus, we have;
Adding both sides of the equation by x, we have;
Simplifying, we get;
Dividing both sides of the equation by 2, we have;
Thus, the value of x is 90.
Hence, the value x = 90 makes the alternate exterior angles congruent and hence the line m is parallel to n.
Answer:
Dimensions of the poster
Width 29.10 cm
Height 38.80 cm
A(min) = 1129.08 cm²
Step-by-step explanation:
Printed area = 390 cm² = Ap
Lets call x and y dimensions of printed area
x width
y height
Then Ap = x*y and
y = Ap/x ⇒ y = 390/x
Then total area of the poster is:
A(t) = ( x + 12 ) * ( y + 16 ) and y = 390/x
A as a function of x
A(x) = ( x + 12 ) * ( 390/x + 16 ) ⇒ A(x) = 390 + 16x + 4680/x + 192
A(x) = 582 + 16x + 4680/x (1)
Taking derivatives
A´(x) = 16 - (4680/x²) ⇒ A´(x) = 0
[ 16x² -4680] /x² = 0 16x²- 4680 = 0 ⇒ x² = 4680/16
x = 17.10 cm and y = 390/x y = 390/17.10 y = 22.80 cm
A(t) = ( 17.10 + 12 ) * ( 22.80 + 16 )
A(t) = 29.10 * 38.80
A(t) = 1129.08 cm²
If we substitute in equation (1) the value of x ( 17.10) we see A(x) > 0
Then there is a minimun at the point x = 17.10
