For the answer to the question above, the opposite angles at the intersection of two straight lines as shown in the graph are congruent.
So the answer is simply∡ EIA and ∡ KIJ are congruent.
I hope my answer helped you. Have a nice day!
Answer:
- 5.8206 cm
- 10.528 cm
- 23.056 cm^2
Step-by-step explanation:
(a) The Law of Sines can be used to find BD.
BD/sin(48°) = BD/sin(50°)
BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm
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(b) We can use the Law of Cosines to find AD.
AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°
AD^2 ≈ 110.841
AD ≈ √110.841 ≈ 10.5281 . . . cm
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(c) The area of ∆ABD can be found using the formula ...
A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°
A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2
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Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.
Answer:
To make f continuous at 
, 
should be defined 
Step-by-step explanation:
A function, let say 
, is defined at 
is continuous at
If the limit of as 
approaches 
is equal to the value of at .
Mathematically it is written as:
if
then
is continuous at .
So from the above definition, we conclude that:
To make f continuous at , should be defined
i.e.
if
then
is continuous at 
.
To solve
82% of x = 119.31
rewrite
x = 119.31/0.82
solve
x <span>≈ 145.5</span>
Hope this helps :)
