9r - 6 = 8r + 3
r = 9
EF = 4r + 19 = 4(9) + 19 = 36 + 19 = 55
hope it helps
Answer:
10
Step-by-step explanation:
![{14}^{2} = ( {9}^{2} + {x}^{2} )](https://tex.z-dn.net/?f=%20%7B14%7D%5E%7B2%7D%20%20%3D%20%28%20%7B9%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%29)
![196 = 81 + {x}^{2}](https://tex.z-dn.net/?f=196%20%3D%2081%20%2B%20%20%7Bx%7D%5E%7B2%7D%20)
![196 - 81 = {x}^{2}](https://tex.z-dn.net/?f=196%20-%2081%20%3D%20%20%7Bx%7D%5E%7B2%7D%20)
![115 = {x}^{2}](https://tex.z-dn.net/?f=115%20%3D%20%20%7Bx%7D%5E%7B2%7D%20)
![x = \sqrt{115}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%7B115%7D%20)
X = 10.7
Question 3:
Since, EG = EF + FG
![64 = 2x-2+3x+1](https://tex.z-dn.net/?f=64%20%3D%202x-2%2B3x%2B1)
![64 = 5x -1](https://tex.z-dn.net/?f=64%20%3D%205x%20-1)
![65 = 5x](https://tex.z-dn.net/?f=65%20%3D%205x)
x = 13
So, EF = ![2x-2](https://tex.z-dn.net/?f=2x-2)
= ![(2 \times 13)-2 = 26-2=24](https://tex.z-dn.net/?f=%282%20%5Ctimes%2013%29-2%20%3D%2026-2%3D24)
So, EF = 24 units.
Question 4:
Since, ![XY \cong YZ](https://tex.z-dn.net/?f=XY%20%5Ccong%20YZ)
So, ![XY = YZ](https://tex.z-dn.net/?f=XY%20%3D%20YZ)
![9x-7 = 3x+5](https://tex.z-dn.net/?f=9x-7%20%3D%203x%2B5)
![6x = 12](https://tex.z-dn.net/?f=6x%20%3D%2012)
So, x =2
Question 5:
Since, ![XY \cong YZ](https://tex.z-dn.net/?f=XY%20%5Ccong%20YZ)
By being congruent, the measures of the segments are equal.
So, ![9x-7 = 3x+5](https://tex.z-dn.net/?f=9x-7%20%3D%203x%2B5)
![9x - 3x = 12](https://tex.z-dn.net/?f=9x%20-%203x%20%3D%2012)
![6x = 12](https://tex.z-dn.net/?f=6x%20%3D%2012)
So, x = 2
Now, XZ = ![XY + YZ](https://tex.z-dn.net/?f=XY%20%2B%20YZ)
XY = 9x - 7 = ![(9 \times 2) - 7 = 11](https://tex.z-dn.net/?f=%289%20%5Ctimes%202%29%20-%207%20%3D%2011)
YZ = 3x + 5 ![= (3 \times 2) + 5 = 11](https://tex.z-dn.net/?f=%3D%20%283%20%5Ctimes%202%29%20%2B%205%20%3D%2011)
XZ = XY + YZ = 11 + 11 = 22 units.
Question 6:
It is given that ![m \angle ABC \cong m \angle DBE](https://tex.z-dn.net/?f=m%20%5Cangle%20ABC%20%5Ccong%20m%20%5Cangle%20DBE)
It means that the measures of these two angles are equal.
Since, measure of angle ABC is 35 degrees.
Therefore, the measure of angle DBE is 35 degrees.
40 / [20 - 4(7-4)]...u have to do what is in the brackets first
40 / [ 20 - 4(3)]
40 / [ 20 - 12]
40 / 8
5 <===
Answer:
Jerald had 2 times a number (x) of balloons for his party. His friend Oscar gave him 5 more as a gift. How much does he have (y)?
Step-by-step explanation:
Hope this helped :)