19. What you know is that HK+KJ = HJ. If HJ = 25, the sum of the two equations will equal this length.
x-5+5x-12=25 First, combine your like terms. You will end up with 6x-17=25. Add the opposite of -17 to both sides. 6x = 42 Divide both sides by 6. x = 7. Substitute x=7 for your original expression of x-5, 7-5=2
20. (5x-6)/2 = x+6 Multiply each side by 2. 5x-6 = 2x +12 Add 6 to each side 5x = 2x + 18 then subtract 2x from both sides as well. 3x = 18 Finally divide each side by 3. x=6 To find the length of the remaining segment, substitute this value into (5x-6)/2. This results in each side equaling a distance of 12.
21. On the number line, the distance of FG is 16 units. If the distance of FP is 1/4 of FG, you would simply divide 16 by 4. The distance of FP is 4 and P lies at 8 on your number line.
23. The distance of SP is x+4 and ST=4x. Since P is the midpoint, you only have one half of the line as x+4, if you were to double it, you would find that 2x+8 = 4x. Balance and solve for x, subtract 2x from both sides. 8=2x Divide each side by 4, 8/4 = 4x/4 resulting in x=2. If ST equals 4x, substitute and solve, 4(2) = 8
60, 60 and 60 degrees
There are two criteria: the angles have to all be equal and they have to add up to 180 degrees. This answer satisfies both criteria.
Answer:
Step-by-step explanation:
The slope of line 2=
=0
Answer:
<u>Has the form y = kx</u>
( y = 0.11x)
(y = 0.04x)
<u>Can be put into form y = kx</u>
(z/x = 9)
<u>Other</u>
(5 = xy)
( x = y/2)
Step-by-step explanation:
<u>y = kx</u>
( y = 0.11x)
(y = 0.04x)
<u>kx = y</u>
(z/x = 9)
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( x = y/2 )
( x - 5 = y)
(5 = xy)
