Answer:
A: sqrt(11)
B: 4.2
C: sqrt(26)
Step-by-step explanation:
First, 4^2 = 16
That means that sqrt 11 is smaller than 4.2 (a value greater than 4). This is because sqrt16>sqrt11.
Sqrt(26) is greater than sqrt(25) = 5. That means that it's greater than 4.2.
Hence, the order given above.
Answer:
∠A: 98 (Is a vertical angle to the 98 degrees)
∠D: 151 (180-29)
∠H: 29 (Is a vertical angle to the 29 degrees)
∠I: 29
∠J: 151
∠M: 151 (Vert angle to <J)
∠R: 82 (180-98)
Answer: x < -125
Step-by-step explanation:
-4x / (-4) < 500 / (-4)
x < -125
Answer: y = 0.5, x = 50
Step-by-step explanation: Both triangles in the picture are isosceles, telling us that the 2 angles at the bottom are congruent. With this, we can find y by doing the following:
a triangle has 180 degrees so we subtract the given 50 which gives us 130
2(2y + 64) = 130
4y + 128 = 130
y = .5
This means that the bottom 2 angles are both 65. Since the top angle of the second triangle is supplementary to the bottom angle of the first one, the top angle of the second triangle is 115. So, we find x by:
2(45 - x/4) = 65
x = 50
This means the bottom 2 angles of the second triangle are both 32.5.