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garri49 [273]
2 years ago
15

Please solve this question on rationalising denominators showing all working <3

Mathematics
1 answer:
Komok [63]2 years ago
8 0

Step-by-step explanation:

denominators showing all working <3

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3 years ago
In circle A, ∠BAE ≅ ∠DAE. What is the length of BE? 14 units 17 units 27 units 34 units
zhannawk [14.2K]

Answer:

The length of BE is 27 units ⇒ 3rd answer

Step-by-step explanation:

In circle A:

∠BAE ≅ ∠DAE

Line segments A B, A E, and A D are radii

Lines are drawn from point B to point E and from point E to point D to form secants B E and E D

The length of B E is 3 x minus 24 and the length of E D is x + 10

We need to find the length of BE

∵ AB and AD are radii in circle A

∴ AB ≅ AD

In Δs EAB and EAD

∵ ∠BAE ≅ ∠DAE ⇒ given

∵ AB = AD ⇒ proved

∵ EA = EA ⇒ common side in the two triangles

- Two triangles have two corresponding sides equal and the

  including angles between them are equal, then the two

  triangles are congruent by SAS postulate of congruence

∴ Δ EAB ≅ Δ EAD ⇒ SAS postulate of congruence

By using the result of congruence

∴ EB ≅ ED

∵ EB = 3 x - 24

∵ ED = x + 10

- Equate the two expressions to find x

∴ 3 x - 24 = x + 10

- Add 24 to both sides

∴ 3 x = x + 34

- Subtract x from both sides

∴ 2 x = 34

- Divide both sides by 2

∴ x = 17

Substitute the value of x in the expression of the length of BE to find its length

∵ BE = 3 x - 24

∵ x = 17

∴ BE = 3(17) - 24

∴ BE = 51 - 24

∴ BE = 27

The length of BE is 27 units

3 0
3 years ago
Read 2 more answers
-2.5d ≥ 30<br> 10-x ≤35<br> Please help thanks!
Natasha2012 [34]

Answer:

1) d ≤ -12

2) x ≥ -25

Step-by-step explanation:

-2.5d ≥ 30

2.5d ≤ -30

d ≤ -12

10 - x ≤ 35

-x ≤ 25

x ≥ -25

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2 years ago
Which of the following is the same as 40 tenths
PolarNik [594]
40/10 can be reduced by ten. Divide both numbers by 10, and the answer is 4/1. Or the answer can just be 4, because 4 divided by 1 is 4.
6 0
3 years ago
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