M < 2 and m < 3 are supplementary angles which add up to 180 degrees.
< 2 + < 3 = 180
3x + 17 + 5x - 21 = 180
8x - 4 = 180
8x = 180 + 4
8x = 184
x = 184/8
x = 23
m < 2 = 3x + 17 = 3(23) + 17 = 69 + 17 = 86 degrees
m < 3 = 5x - 21 = 5(23) - 21 = 115 - 21 = 94 degrees
m < 1 and m < 2 are corresponding angles....they are equal.
so m < 1 = 86 degrees <===
Answer:
Step-by-step explanation:
C. -11<x<-4
|-2x-15|<7 split into possible cases
- 2x - 15 < 7, - 2 x - 15 > 0
-(- 2x - 15 ) <7, -2x - 15 < 0 solve the inequalities
x>-11, x < -15/2
x< -4, x> -15/2 Find the intersections
[ -11, -15/2 ]
-15/2, -4] Find the union
[-11, -4 ] Simplify
-11<x<-4
12 feet divided by 12 is equal to 1 foot ]
therefore a 12 foot long board divided into 12 equal sections has 12 1 foot long sections
Answer:
4 hours
Step-by-step explanation:
3 x 12 = 36
36/9 = 4
Answer:
<u>Part A</u>
- Reflect over the y-axis: (x, y) → (-x, y)
A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
- Shift 4 units down: (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)
<u>Part B</u>
Two figures are <u>congruent</u> if they have the same shape and size. (They are allowed to be rotated, reflected and translated, but not resized).
Therefore, ABCD and A'B'C'D' are congruent. They are the same shape and size as they have only be reflected and translated.
