Answer:
8 grams
Step-by-step explanation:
The balance is in equilibrium, so the weights of the two sides are equal.
Let the weight of a square be s.
Left side: 2s + 4
Right side: s + 3(4) = s + 12
The weights are equal, so we set the two expressions equal.
2s + 4 = s + 12
s = 8
Answer: The weight of a square is 8 grams.
Answer:
ABCD is a parallelogram.
Step-by-step explanation:
A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA =
(sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.
-3x + 4 > 5
-3x > 5 - 4
-3x > 1
x < 1/-3
x < -1/3
Answer: Manny is making 3/2 batches, which is equivalent to 1.5, it's more than one. So, Manny is making more than 1 batch. According to the problem, 2 cups of flour in a batch, if he's making 1.5 batch, he would need 3 cups of flour, which is more than 2 cups of flour.
Step-by-step explanation: