Step-by-step explanation:
-2 (4a + 4b) + 5a > -35 
-8a -8b + 5a > -35 
-3a -8b > -35 
for a 
-3a > -35 + 8b 
a < -35 + 8b ÷ -3 
a < 35 - 8b ÷ 3 
for b 
-3a - 8b > -35 
-8b > -35 + 3a 
b < -35 + 3a ÷ -8
b < 35 - 3a ÷ 8 
 
        
             
        
        
        
Answer:
x = 8
Step-by-step explanation:
Since < A and < B are vertical angles, then it means that they have the same measure. 
Given that m < A = (3x - 21)°, and m < B = (2x - 13)°:
We can set up the following equation to solve for the value of x:
m < A  = m < B
(3x - 21)° = (2x - 13)°
3x - 21 = 2x - 13
Subtract 2x from both sides:
3x - 2x - 21 = 2x - 2x - 13
x - 21 = -13
Add 21 to both sides to isolate and solve for the value of x:
x - 21 + 21 = -13 + 21
x = 8
We must verify if we have the correct value for x by plugging in 8 into the equality statement:
(3x - 21)° = (2x - 13)°
[3(8) - 21]° = [2(8) - 13]°
(24 - 21)° = (16 - 13)°
3° = 3° (True statement. This means that we have the correct value for x). 
Therefore, the value of x = 8. 
Please mark my answers as the Brainliest, if you find this solution helpful :)
 
        
             
        
        
        
Answer:
7 1/4
Step-by-step explanation:
the 5 is not affecting the fraction so just add the whole numbers
 
        
                    
             
        
        
        
Answer:
5 units
Step-by-step explanation:
If point T is on the line segment SU, then ST + TU = SU.
Given
TU = 4x + 1
SU = 8
ST =  3x
To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;
3x+4x+1 = 8
7x+1 = 8
subtract 1 from both sides
7x+1-1 = 8-1
7x = 7
divide both sides by 7
7x/7 = 7/7
x = 1
Substitute x = 1 into the length TU
Since TU = 4x+1
TU = 4(1)+1
TU = 5
Hence the numerical length of TU is 5 units
 
        
             
        
        
        
Answer:
105.4º
Step-by-step explanation:
supplementary angles total 180º
180 - 74.6 = 105.4º