Answer:
See below
Step-by-step explanation:
The three angles inside of the triangle sum to 180
11x + 4 + 3x + 78 = 180
14x +82 =180
x = 7
then B = 11x + 4 = 11(7) + 4 = 81 degrees
C = 3x = 21 degrees
The legs are 5 inches long.
Use the Pythagorean theorem:

The length of the hypotenuse of the triangle is approximately 7 inches long.
34. 65 = 3/4c - 7....add 7 to both sides
65 + 7 = 3/4c...simplify
72 = 3/4c...multiply both sides by 4/3, eliminating the 3/4 on the left
72 * 4/3 = c
288/3 = c
96 = c
36. -5/2 = 3/4z + 1/2 ...subtract 1/2 from both sides
-5/2 - 1/2 = 3/4z .... simplify
-6/2 = 3/4z ....reduce
-3 = 3/4z....multiply by 4/3. eliminating the 3/4 on the left
-3 * 4/3 = z
-12/3 = z
-4 = z
Answer:
translate (x,y) (x-5,y+8)
Answer:
3/4 meter
Step-by-step explanation:
Need Common denominators to compare size
2/6 3/4 4/9 which is longer than 2/3?
2/6 compared to 2/3. 2/6 = 2/6 and 2/3 = 4/6.
2/6 < 2/3 so 2/6 is too short
3/4 compared to 2/3 3/4 = 9/12 and 2/3 = 8/12
3/4 > 2/3 so 3/4 is longer than 2/3
4/9 compared to 2/3 4/9 = 4/9 and 2/3 = 6/9
4/9 < 2/3 so 4/9 is too short