Answer:
67
Step-by-step explanation:
4x+3+15x-8=90(complementary angle)
x=5
now D = 15*5-8
d=67
14/20 21/30 28/40 are the equivalent fractions
Answer:
SEE BELOW
Step-by-step explanation:
Coprime numbers:
A Co-prime number is a set of numbers or integers which have only 1 as their common factor.
For eg: (2,3), (11,12), (99,100) and so on; they have 1 as their HCF. The sum of any two coprime numbers is always coprime with the product of the same two coprime numbers. For eg: The sum of 2 and 3 is 5 and the product of 2 and 3 is 6. Hence, 5 and 6 are coprime numbers.
Prime number
A number that can be divided exactly only by itself and 1, for example 7, 17 and 41
We must find the common denominator.
The list of multiples of 4: 0, 4, 8, 12, 16, 20, ...
The list of multiples of 3: 0, 3, 6, 9, 12, 15, 18, ...
The common denominator is 12.
![\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7D%3D%5Cdfrac%7B3%5Ccdot3%7D%7B4%5Ccdot3%7D%3D%5Cdfrac%7B9%7D%7B12%7D%5C%5C%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B2%5Ccdot4%7D%7B3%5Ccdot4%7D%3D%5Cdfrac%7B8%7D%7B12%7D)
Therefore:
![\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}=\dfrac{9+8}{12}=\dfrac{17}{12}=\dfrac{12+5}{12}=1\dfrac{5}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7D%2B%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B9%7D%7B12%7D%2B%5Cdfrac%7B8%7D%7B12%7D%3D%5Cdfrac%7B9%2B8%7D%7B12%7D%3D%5Cdfrac%7B17%7D%7B12%7D%3D%5Cdfrac%7B12%2B5%7D%7B12%7D%3D1%5Cdfrac%7B5%7D%7B12%7D)
<h3>Answer: 17/12 = 1 5/12</h3>