A complement is angle that can be added to another to equal 90 degrees.
So two times the same number would equal 90.
90 / 2 = 45
The angle that is its own complement is 45 degrees.
To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.
<h3>Area of Rectangle</h3>
The area of a rectangle is given as the product between the length and it's width.
Data;
- Length = 9in
- Area = 45in^2
- width = ?
- length 2 = 4in
- width 2 = 3in
In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as
We can see that the width are not equal so is their length.
But if we would truly compare them, the accurate way to do that is by their area
The area of the second gauze is given by
From the above calculations, we can see that the sheets are not similar as they have different areas.
Learn more on area of a rectangle here;
brainly.com/question/25292087
Answer:
<h2>x = 35</h2>
Step-by-step explanation:
Because the angles are vertical angles, they must be equal.
3x + 7 = 112
3x = 105
x = 35
Check
3(35) + 7 = 112
112 = 112 Correct
<h3>
Answer: 375</h3>
=========================================
Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
----------
As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
----------
Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
A and B are correct... reason is because hundredths is 1/10 to tenths and tenths are 10 times bigger than hundredths. C and D are wrong.
Hope this helped!
Nate
