Given:5y-1/2=7 prove y=3 I am confused on the steps to get 3!
1 answer:
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Answer:
< CFE = 40°
Step-by-step explanation:
To better understand the solution, see attachment for the diagram.
Given:
BC parallel to DE
Measure of Arc BD = 58°
Measure of Arc DE = 142°
First step: Draw a diameter that passes through the centre of the circle and name it. In this case, the diameter is line ST.
The line ST divides the arc BD and arc DE into half.
That is:
Arc SC = 1/2(arc BC) =1/2(58)
Arc SC = 29°
Arc TE = 1/2(arc DE) =1/2(142)
Arc TE = 71°
Arc SC + Arc CE + Arc TE = 180° (Sum of angles in a semicircle
29° + Arc CE + 71° = 180°
Arc CE + 100° = 180°
Arc CE = 180-100
Arc CE = 80°
Inscribed angle = 1/2(intercepted angle)
<CFE = 1/2(Arc CE )
<CFE = 1/2(80)
< CFE = 40°
Let total amount spent =x
Dita spent 35 % of total amount.
35% of x = 0.35x
So amount spent by Dita = 0.35x
% of money spent by Benton = 20 % of x = 0.2x
We are given that Benton spent $12 more than Claire,
so making equation we have ,
Money spent by Dita = Money spent by Claire +12
x=80
So total amount spent was $80.
Money spent by Benton = 0.2x = 0.2 * 80= $16
So amount spent by Benton is $16.
Answer:
All trigonometric Ratios are ,
,
And .
Step-by-step explanation:
Given that,
A right angle triangle ΔABC, ∠C =90°.
Diagram of the given scenario shown below,
In triangle ΔABC :-
So,
Now, for ∠A the dimensions of trigonometric ratios will be changed.
Here the base for ∠A is AC , perpendicular side is CB and hypotenuse will be same for all ratios.
Again,
Then,
And .
Hence,
All trigonometric Ratios are ,
,
And .
