Perimeter: P = 2L + 2W. In this problem L = W + 4 or W = L - 4. We want L, so let's eliminate W:
P = 2L + 2(L - 4) = 20 (all measurements in feet)
Simplifying,
2L + 2L - 8 = 20, or 4L = 28 ft. Thus, L = 7 ft.
The rectangle is 7 ft long.
Answer: 68.27%
Step-by-step explanation:
Given : Mean value of land and buildings per acre from a sample of farms :
The data set has a bell-shaped distribution. i.e. it follows Normal distribution.
Using 
, for x= 1300 , we have
For x= 1700 , 
Using standard normal z-value table,
P-value = P(-1<z<1)=
[Round to nearest 4 decimal places.]
i.e. The percent of farms whose land and building values per acre are between $1300 and $1700 = 68.27%
6 wholes 42 divided by 7 = 42.
Answer:
i believe the answer is b
Step-by-step explanation:
Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
