Answer:
A=49 B=41
Step-by-step explanation:
First, find the angle next to 88 by subtracting it from 180 to get 92.Then add that to 39 to get 131. Then subtract that from 180 to get the missing angle for A.Then add that angle to 90 to solve for the bigger triangle's missing angle, or B. Once you get that value, which is 139, subtract that from 180 to get the value for angle B.
When you are able to <span>claim a deduction such as student loan interest would taxable income would be lower and your tax liability would go higher. The liability would increase since a loan is a debt. Hope this answers the question. Have a nice day.</span>
The formula of a volume of a cone:
![V=\dfrac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
We have:
![2r=x\to r=\dfrac{x}{2}\\\\h=x\\\\V=18\pi\ cm^3](https://tex.z-dn.net/?f=2r%3Dx%5Cto%20r%3D%5Cdfrac%7Bx%7D%7B2%7D%5C%5C%5C%5Ch%3Dx%5C%5C%5C%5CV%3D18%5Cpi%5C%20cm%5E3)
substitute:
![\dfrac{1}{3}\pi\left(\dfrac{x}{2}\right)^2\cdot x=18\pi\ \ \ \ |:\pi\\\\\dfrac{1}{3}\cdot\dfrac{x^2}{4}\cdot x=18\\\\\dfrac{x^3}{12}=18\ \ \ \ |\cdot12\\\\x^3=216\to x=\sqrt[3]{216}\\\\x=6\ cm](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%7D%7B3%7D%5Cpi%5Cleft%28%5Cdfrac%7Bx%7D%7B2%7D%5Cright%29%5E2%5Ccdot%20x%3D18%5Cpi%5C%20%5C%20%5C%20%5C%20%7C%3A%5Cpi%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B3%7D%5Ccdot%5Cdfrac%7Bx%5E2%7D%7B4%7D%5Ccdot%20x%3D18%5C%5C%5C%5C%5Cdfrac%7Bx%5E3%7D%7B12%7D%3D18%5C%20%5C%20%5C%20%5C%20%7C%5Ccdot12%5C%5C%5C%5Cx%5E3%3D216%5Cto%20x%3D%5Csqrt%5B3%5D%7B216%7D%5C%5C%5C%5Cx%3D6%5C%20cm%20)
![h=x\to h=6\ cm\\\\r=\dfrac{x}{2}\to r=\dfrac{6}{2}=3\ cm](https://tex.z-dn.net/?f=h%3Dx%5Cto%20h%3D6%5C%20cm%5C%5C%5C%5Cr%3D%5Cdfrac%7Bx%7D%7B2%7D%5Cto%20r%3D%5Cdfrac%7B6%7D%7B2%7D%3D3%5C%20cm)
Answer:
height = 6 cm
radius = 3 cm
Answer:
Given - PS is parallel to QR
angle QPS is congruent to angle SRQ
To prove - PQ is congruent to RS
Solution -
In triangle PSQ and SQR
Angle PSQ = Angle SQR ( Interior Angle form by the parallel lines are equal i.e PQ is parallel to QR)
Angle P = Angle R (given)
SQ = SQ ( common)
PSQ = SQR ( prove above)
By ASA Congruence criteria Triangle PQS is congruent to triangle QRS
By CPCT PS is congruent to RS
Hence, Proved
It can be deduced based on the distance given that the fuel consumption will be 8.44l/100km
<h3>How to calculate fuel consumption</h3>
It can be deduced that they information is incomplete as you didn't give the amount of petrol filled. Therefore, an overview will be given.
Let's assume that the number of liters will be 57 liters. Therefore, the fuel consumption will be:
= liters/distance × 100.
= 57/675 × 100
= 8.44l/100km
In conclusion, the correct option is 8.44l/100km.
Learn more about fuel consumption on:
brainly.com/question/11278661