For #19 part A :
By vertical angles and then same side interior angles 3x + 2x = 180
5x = 180
x = 36
For #19 part B:
You are correct with the 35, but you missed the fact that the 105 angle is supplementary with the unknown angle inside the triangle. So:
180 - 105 = 75
Then:
180 = 35 + 75 + x
180 = 110 + x
x = 70
Last question:
Do you know what the symbol means? Text me and tell me and I can answer it for you. :)
<h3>
Answer: A) 52 square inches</h3>
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Explanation:
a = 8, b = 13, and c = 15 are the sides of the triangle
s = (a+b+c)/2 = (8+13+15)/2 = 18 is the semi-perimeter, aka half the perimeter.
Those values are then plugged into Heron's Formula below

The triangular plaque has an area of approximately 52 square inches.
The average travel time is simply the mean travel time between the given points
- The average time that it takes for the car to travel the first 0.25m is 2.23s.
- The average time to travel just between 0.25m and 0.50m is 0.9s.
- Given the time taken to travel the second 0.25 m section, the velocity would be 0.28m/s.
<u>(a) The average time to travel the first 0.25m</u>
The time travel in the first 0.25m are: 2.24s, 2.21s and 2.23s.
So, the average time to travel is:



<u>(b) The average time to travel just between 0.25m and 0.50m</u>
The time travel in the 0.50m are: 3.16s, 3.08s and 3.15s.
So, the average time to travel this distance is:



The average time to travel between both distance is the difference between the average time of each distance.
So, we have:


<u>(c) The velocity in the second 0.25m section</u>
The distance and time are:


So, the velocity is:

This gives


Read more about distance, velocity and time at:
brainly.com/question/4931057
Answer:
x³ - 3x² + 5x - 3 / x² - 2
Step-by-step explanation:
Given in the question,
volume of a rectangular prism = x³ - 3x² + 5x - 3
base area of a rectangular prism = x² - 2
Formula for the volume of prism
V = BA x H
here BA is base area
H is height
Formula for the height of prism
H = V / BA
plug values in the formula
x³ - 3x² + 5x - 3 / x² - 2
We will do long division
x - 1
----------------------------
x² - 2 | x³ - 3x² + 5x - 3
x³ - 2x²
---------------------------
-x² + 5x - 3
-x² + 2
----------------------
5x - 5
The remainder indicates that x³ - 3x² + 5x - 3 is not divisible by x² - 2, and that means that you cannot find the exact height.
Answer:
13,100 mi²
Step-by-step explanation:
If 80% of the area of WI is land area, then that area is 0.80(35,498 mi²).
If (100% - 80%), or 20%, is not land area, then that area comes to
0.20(65,498 mi²), or 13,100 mi² (rounded up from 13,099.6).