Answer:
48
Step-by-step explanation:
Hi!
Remember, the sum of the angles on a straight angle is 180 degrees. Additionally, the sum of the measures of a triangle are 180 degrees.
Now, let's label the angles of the given triangle.
<DCE = y and <CDE=x
x+y+92=180
x+y= 88
Now, y+140 = 180 --> y= 40
x+40 = 88
x=48
The answer is 48 degrees.
Hope this is correct! Have a good day!
Answer:
Width =
Length = 
Step-by-step explanation:
We have to first find an equations with the given variables:

Now apply the area format:

Since the area is 108 square inches




Simplify:

Since no number can be negative



The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way.
For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.
For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.
Answer:
36 = 2² * 3²
84 = 2² * 3 * 7
Explanation:
Pf of 36 = 2 * 2 * 3 * 3 which then becomes 2 (to the power of 2) times 3 (to the power of 2)
Pf of 84 = 2 * 2 * 3 * 7 which then becomes 2 (to the power of 2) * 3 * 7
If this helps it would be greatly appreciated if you thanked me.
Step-by-step explanation:
1.√2×(-2√9)×(-√2)
= -2×(-2×3)
=12 option a
2. √5×√15×√75
= √5×(√3√5)×(5√3)
= 5×3×5
=75 option b