Answer:
The measure of the two supplementary angles are 65 degrees and 115 degrees.
Step-by-step explanation:
The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,
![x+y=180\ ....(1)](https://tex.z-dn.net/?f=x%2By%3D180%5C%20....%281%29)
According to given condition,
One supplementary angle is 15 degrees less than twice the other, it means,
![x=2y-15\ .....(2)](https://tex.z-dn.net/?f=x%3D2y-15%5C%20.....%282%29)
Putting the value of x from above equation in equation (1),
![2y-15+y=180\\\\3y-15=180\\\\3y=195\\\\y=\dfrac{195}{3}\\\\y=65^{\circ}](https://tex.z-dn.net/?f=2y-15%2By%3D180%5C%5C%5C%5C3y-15%3D180%5C%5C%5C%5C3y%3D195%5C%5C%5C%5Cy%3D%5Cdfrac%7B195%7D%7B3%7D%5C%5C%5C%5Cy%3D65%5E%7B%5Ccirc%7D)
Now put the value of y in equation (1), so,
![x+65=180\\\\x=115^{\circ}](https://tex.z-dn.net/?f=x%2B65%3D180%5C%5C%5C%5Cx%3D115%5E%7B%5Ccirc%7D)
So, the measure of the two supplementary angles are 65 degrees and 115 degrees.
HCF of 12 and 15 by Prime Factorization
1. As visible, 12 and 15 have only one common prime factor i.e. 3. Hence, the HCF of 12 and 15 is 3.
2. To find the HCF of 20 and 25, we will find the prime factorization of the given numbers, i.e. 20 = 2 × 2 × 5; 25 = 5 × 5. ⇒ Since 5 is the only common prime factor of 20 and 25. Hence, HCF (20, 25) = 5.
Answer:
Hello
The answer is 30% increase in texts since last month.
IF you feel any problem in understanding , do comment pls.
Step-by-step explanation:
Let
X = last month sent texts
y = this month sent texts
First of all find the no. of increased texts,
by subtracting x from y
=> y-x= 7085- 5450
= 1635
We want to find these 15 texts % with respect to 5450 texts
i.e. 1635/X
=0.30
for answer in % multiply with 100
i.e. 30%