Answer:
x=6
Step-by-step explanation:
Question 23:
x = 4
DE = 44
Question 24:
x = 25
SE = 28
Step-by-step explanation:
As RS is the perpendicular bisector of DE, it will divide DE in two equal parts DS and SE
<u>Question number 23:</u>
Given
DS = 3x+10
SE = 6x-2
As the two segments are equal:
![DS = SE\\3x+10 = 6x-2](https://tex.z-dn.net/?f=DS%20%3D%20SE%5C%5C3x%2B10%20%3D%206x-2)
Subtracting 10 from both sides
![3x+10-10 = 6x-2-10\\3x = 6x-12](https://tex.z-dn.net/?f=3x%2B10-10%20%3D%206x-2-10%5C%5C3x%20%3D%206x-12)
subtracting 6x from both sides
![3x -6x = 6x-6x-12\\-3x = -12](https://tex.z-dn.net/?f=3x%20-6x%20%3D%206x-6x-12%5C%5C-3x%20%3D%20-12)
Dividing both sides by -3
![\frac{-3x}{-3} = \frac{-12}{-3}\\x = 4](https://tex.z-dn.net/?f=%5Cfrac%7B-3x%7D%7B-3%7D%20%3D%20%5Cfrac%7B-12%7D%7B-3%7D%5C%5Cx%20%3D%204)
Now
![DS = 3x+10\\= 3(4)+10\\= 12+10\\=22](https://tex.z-dn.net/?f=DS%20%3D%203x%2B10%5C%5C%3D%203%284%29%2B10%5C%5C%3D%2012%2B10%5C%5C%3D22)
And
![SE = 6x-2\\= 6(4)-2\\= 24 - 2\\=22\\DE = DS+SE\\= 22+22\\=44](https://tex.z-dn.net/?f=SE%20%3D%206x-2%5C%5C%3D%206%284%29-2%5C%5C%3D%2024%20-%202%5C%5C%3D22%5C%5CDE%20%3D%20DS%2BSE%5C%5C%3D%2022%2B22%5C%5C%3D44)
<u>Question No 24:</u>
Given
DS = x+3
DE = 56
We know that:
![DS = \frac{1}{2}DE\\x+3 = \frac{56}{2}\\x + 3 = 28\\x = 28-3\\x = 25](https://tex.z-dn.net/?f=DS%20%3D%20%5Cfrac%7B1%7D%7B2%7DDE%5C%5Cx%2B3%20%3D%20%5Cfrac%7B56%7D%7B2%7D%5C%5Cx%20%2B%203%20%3D%2028%5C%5Cx%20%3D%2028-3%5C%5Cx%20%3D%2025)
So
DS = ![25+3 = 28](https://tex.z-dn.net/?f=25%2B3%20%3D%2028)
As DS is 28, SE will also be 28
Hence,
Question 23:
x = 4
DE = 44
Question 24:
x = 25
SE = 28
Keywords: Bisector, Line segment
Learn more about line segments at:
#LearnwithBrainly
8x-10=3x+90
8x-3x= 90+10
5x=100 divide by 5x on each side
X=20
B=3(20)+90= 150
Answers: X=20
Angel B is 150°
Answer:
£30
Step-by-step explanation:
Krutika should get £30 of it
Answer:
The original number is 47.
Step-by-step explanation:
A and C when reversed make a number less than the original value.
D when reversed makes 83 which is 45 more than 38, the original number.
C, when reversed, gives 74 which is 24 more than 47, the original value.
Please mark as brainliest!
<em>Side note:</em>
<em>All number's digits add up to 11.</em>