Step-by-step explanation:
Total amount of apples in one bag:
Hence, total amount of apples in two bags:
or
or
Hence, B, D and E are correct.
A is incorrect because you are adding 2 more apples on top of the total amount of apples in one bag, and you cannot assume that there are 2 apples in each bag.
C is incorrect because you are multiplying the apples together, but you are supposed to add them up to find the total.
F is incorrect because you are finding 1/2 a bag.
Answer:
B and F
Step-by-step explanation:
Given
x² + 4x + 4 = 12 ( subtract 4 from both sides )
x² + 4x = 8
Using the method of completing the square to solve for x
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 8 + 4, that is
(x + 2)² = 12 ( take the square root of both sides )
x + 2 = ± ( subtract 2 from both sides )
x = ± - 2
= ± 2 - 2
Hence
x = 2 - 2 → B
x = - 2 - 2 → F
Answer:
m∠CFD is 70°
Step-by-step explanation:
In the rhombus
Let us solve the question
∵ CDEF is a rhombus
∵ ∠E and ∠F are adjacent angles
→ By using the second property above
∴ ∠E and ∠F are supplementary
∵ The sum of the measures of the supplementary angles is 180°
∴ m∠E + m∠F = 180°
∵ m∠E = 40°
∴ 40° + m∠F = 180°
→ Subtract 40 from both sides
∵ 40 - 40 + m∠F = 180 - 40
∴ m∠F = 140°
∵ FD is a diagonal of the rhombus
→ By using the first property above
∴ FD bisects ∠F
→ That means FD divides ∠F into 2 equal angles
∴ m∠CFD = m∠EFD = m∠F
∴ m∠CFD = (140°)
∴ m∠CFD = 70°
The difference between the length of arc BD and CE is 1.57 units
<h3>Length of an arc</h3>length of arc = ∅ / 360 × 2πr
where
Therefore,
BD = 45 / 360 × 2 × 3.14 × 6 = 1695.6 / 360 = 4.71 units
CE = 45 / 360 × 2 × 3.14 × 8 = 2260.8 / 360 = 6.28 units
Therefore, the difference between the length of arc BD and CE is as follows:
6.28 - 4.71 = 1.57 units
learn more on length of arc here: brainly.com/question/3984590
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