Question 3:
Since, EG = EF + FG



x = 13
So, EF = 
= 
So, EF = 24 units.
Question 4:
Since, 
So, 


So, x =2
Question 5:
Since, 
By being congruent, the measures of the segments are equal.
So, 


So, x = 2
Now, XZ = 
XY = 9x - 7 = 
YZ = 3x + 5 
XZ = XY + YZ = 11 + 11 = 22 units.
Question 6:
It is given that 
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.
V=(22-2t)(15-2t)(12-2t) and we are told the thickness is 1/2 so
V=(21)14(11)=3234in^3
B :)
It would be a x/n = n √a^x
Hope this helps
X= -4
Work: 1^x/4^x=256
1^x= 256 * 4^x
In 1^x = In 256 * 4^x
xIn1 = In 256+ In4^x
x*0= xIn 4 + In 2^8
0= xIn 2^2 + 8In 2
x In 2^2 + 8In 2 =0
x* 2In 2 + 8In 2=0
2In 2x + 8In 2=0
2In 2x = -8In 2
x= -8/2
x=-4
A. 38
Let X = seventh graders
6th graders are twice the number of 7th graders; therefore, 6th graders will be 2X.
The total number of students is 57.
2X + X = 57
3X = 57
X = 57 / 3
X = 19
IF X represents the 7th graders; there are 19 seventh graders present.
Since 6th graders are represented by 2X; Then, 2 * 19 = 38 is the number of 6th graders present.
Add both numbers to check: 19 + 38 = 57.