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
Answer:
$185
Step-by-step explanation:
The first ten suits sold for 10×$250 = $2,500
commission = 5% of $2,500 = 0.05×$2,500 = $125
The next three suits sold for 3×$250 = $750
commission = 8% of $750 = 0.08×$750 = $60
Total commissions = $125+$60 = $185
There are several errors in the question. If you are using voice recognition, you are better off typing the question manually.
Answer: 66 degrees
Step-by-step explanation:
Sum of the angle measures is 180, so:
71 + x + 49 + x + 72 = 180
2x + 192 = 180
2x = -12
x = -6
Meaning the measure of angle A = -6 + 72 = 66 deg.
Answer:
3/2
Step-by-step explanation:
Apply exponent rule: a^-1 = 1/a
(2/3)^1 = 1/2/3
Apply the fraction rule: 1/a/c = c/b
3/2
