Answer:
x = 12 degree
Step-by-step explanation:
3x + 19 + 5x = 115 degree (sum of two interior opposite angles are equal to the third side)
8x + 19 = 115
8x = 115 - 19
x = 96 /8
x = 12
I'm pretty sure its the first choice. Similar means same ratio and congruent means equal. But this was 9th grade for me :)
Answer:
B
please give me brainliest :)
Answer:
the total number of shingles is 3060
Step-by-step explanation:
Please have a look at the attached photo.
We need to find the total are of the roof.
The are of the trapezoid is:
- A = 1/2 (base 1 + base 2) height
= 1/2 (20+30)*15
= 375 ![ft^{2}](https://tex.z-dn.net/?f=ft%5E%7B2%7D)
The are of the triangle:
= 1/2(1.5*10)
= 7.5
=> We need to find the total are of the roof is:
The are of the 2 trapezoids + The are of the 2 triangles
= 375
*2 + 7.5
*2
= 765
Given in the question that, the shingles are 1 foot by 1 foot, but they overlap by 0.75 square foot so the usable area of the shingle is only 0.25
So the total number of shingles is:
765
/ 0.25
= 3060
A stock is declining a rate of 25% of its value every 2 weeks, the stock started at $225 the equation of the given scenario is ![y_{1}=0.8y_{0}](https://tex.z-dn.net/?f=y_%7B1%7D%3D0.8y_%7B0%7D)
A stock is a form of security that indicates the holder has proportionate ownership in the issuing corporation and is sold predominantly on stock exchanges
Let x represent the number of weeks
Let y represent the value of stock in dollars
The initial value of stock= $225
The stock declining rate of its value every two weeks= 25%
Initially = $225
After one week
= initial value of stock - decreased value stock
Let
is the previous stock value and
as new stock value
![y_{1}=y_{0}-y_{0}\frac{20}{100} \\ y_{1}= y_{0}-0.2y_{0} \\y_{1}=0.8y_{0}](https://tex.z-dn.net/?f=y_%7B1%7D%3Dy_%7B0%7D-y_%7B0%7D%5Cfrac%7B20%7D%7B100%7D%20%5C%5C%20y_%7B1%7D%3D%20y_%7B0%7D-0.2y_%7B0%7D%20%20%5C%5Cy_%7B1%7D%3D0.8y_%7B0%7D)
Hence, a stock is declining a rate of 25% of its value every 2 weeks, the stock started at $225 the equation of the given scenario is ![y_{1}=0.8y_{0}](https://tex.z-dn.net/?f=y_%7B1%7D%3D0.8y_%7B0%7D)
Learn more about stock here
brainly.com/question/14649952
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