Answer:
a. x = 14 (see explanation)
b. the arrows along the lines
Step-by-step explanation:
The relationship of these two expressions is Same Side, which means their sum is 180.
<u><em>plugging</em><em> </em><em>in</em></u>
108 + 4x + 16 = 180 | Given
124 + 4x = 180 | Add the numbers
4x = 56 | Subtract 124 from both sides
x = 14 | Divide both sides by 4
Answer:
The area of this shape equals 
Step-by-step explanation:
From the diagram, we can see that this shape is a parallelogram (since opposite sides are equal to each other). The formula for the area of the parallerlogram is as follows:
(where "b" is the base, and "h" is the height).
And so we get...
1. The shape of cross-section is a circle.
2. The face parallel to ABCD is EFGH. Since this is a a rectangular shape,
A = L*H = 12*6 = 72 cm^2
3. The cross-section parallel to ABC is DEF with h = 12 ft, b= 5ft (where h is the height and b is the base of a right angled triangle).
Area, A = 1/2 *b*h = 1/2*5*12 =30 ft^2
4. Plane BDHF is a rectangle shape whose length is the diagonal of ABCD.
Diagonal BD = sqrt (AB^2+BD^2) = sqrt (8^2+7^2) = 10.63 cm.
Perimeter, P = 2(BD+DH) = 2(10.63+6) = 33.26 cm
Answer:
The increasing interval is 
Step-by-step explanation:
This absolute function has a vertex in x=-2. Now, from this point, the function has a positive slope (increasing), which means for values of x equals to -1,0,1,2,3,...,n.
Therefore the interval will
I hope it helps you!
