Answer:
32
Step-by-step explanation:
You use angle chasing. Since a triangle's angle has to add up to 180, the other angle is 180-79-69. This gives 32. So angle E is 32 degrees. Since they are parallel, that means that E equals to D. That means that D is 32, so 32 is now the answer.
HAPPY NOW BRAINLY? I JUST DIDN'T ADD AN EXPLANATION ON THE OTHER ONE AND YOU DELETED IT! I GOT BRAINLIEST! HE STILL GOT THE ANSWER ANYWAYS.
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
Formula: y = mx + b
m being the slope
Slope given: -2, plug it in
Y = -2x + b
Now find y intercept (b)
Plug in the point (5,-11)
-11 = -2(5) + b
-11 = -10 + b, b = -1
Solution: y = -2x -1
multiplication , addition, subtraction, division
