Answer:
x = 113
Step-by-step explanation:
Vertical angles are congruent. To the left of 113 would be 67 but x is not.
Volume = length * height * width
= 4 qrt3 + 3 sqrt6 * w
= 12 sqrt18 w
let w = 2 sqrt50 then volume = 2*12 * sqrt 18*50 = 24*30 so this is rational
let w = 4 sqt 12 the v = 48 sqrt12 * sqrt 18 = 48 sqrt30 which is irrational
C and D are rational
answer is B
11/16 is greater so 5/8 is less
Answer:
Step-by-step explanation:
The top and bottom triangles have two congruent sides with different included angles.
- AB = AD and AC is common side.
<u>The greater angle has greater op</u>posite side.
- The ∠BAC is greater than the ∠DAC as opposite side of the first (22) is greater than the opposite side of the second (16).
The ∠DAC must be greater than zero but smaller than 48°.
<u>Required inequality is:
</u>
- 0 < 2x - 12 < 48
- 12 < 2x < 60
- 6 < x < 30
So x has a value between 6 and 30
Answer: 15 pounds per inches
Step-by-step explanation:
P1V1 = P2V2
12 ppi × 5L = P2 × 4L
P2 = 12 ppi × 5L / 4L
P2 = 12 ppi × 5 / 4 ( L in denominator is cancelled by L in numerator)
P2 = 3 ppi × 5 ( 12 is cancelled by 4 in denominator)
P2 = 15 ppi
