Step-by-step explanation:
step 1. I guess we assumed the two lines across the transversal are parallel
step 2. 3x + 1 = 85 (definition of alternate exterior angles)
step 3. 3x = 84 (subtract 1 from each side)
step 4. x = 28. (divide both sides by 3)
Answer:
looking at the straight line, it touches the axis at (-2,0) and (6,0)
Step-by-step explanation:
6(f+4) + 2(f+4)
Use the distributive property:
6f+24 + 2f + 8
Now combine like terms:
8f +32
The answer is 8f + 32
Answer:
500 pounds
Step-by-step explanation:
Let the pressure applied to the leverage bar be represented by p
Let the distance from the object be represented by d.
The pressure applied to a leverage bar varies inversely as the distance from the object.
Written mathematically, we have:

Introducing the constant of proportionality

If 150 pounds is required for a distance of 10 inches from the object

Therefore, the relationship between p and d is:

When d=3 Inches

The pressure applied when the distance is 3 inches is 500 pounds.
Answer:
x = 102 degrees
Step-by-step explanation:
Since the line is through parrallel lines, we know that angle 2 and angle 7 will be equal to each other, so all you have to do is set the equations equal to each other to solve.
2x-37 = x+65
Subtract x from the left to isolate the variable and add 37 to the right.
x = 102