The required solution is ∠RQT = 202° and ∠QTS = 51°
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<h3>What is a cyclic quadrilateral?</h3>
A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.
Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.
Now, the given circle has a cyclic quadrilateral QRST in which it is given that ∠RQT = 202° and ∠QRS = 129°
Since,sum of the opposite angles of a cyclic quadrilateral = 180°
⇒∠QTS + ∠QRS = 180°
⇒ ∠QTS + ∠129° = 180°
⇒ ∠QTS = 180° - ∠129°
⇒ ∠QTS = 51°
Hence,the requires angles are ∠RQT = 202° and ∠QTS = 51°.
More about cyclic quadrilateral :
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Answer:
3.65
Step-by-step explanation:
this is the same as saying
50%of 7.3
which is 3.65
Answer: x=24
Step-by-step explanation:Simplifying
0.6x + -5 = 0.1x + 7
Reorder the terms:
-5 + 0.6x = 0.1x + 7
Reorder the terms:
-5 + 0.6x = 7 + 0.1x
Solving
-5 + 0.6x = 7 + 0.1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.1x' to each side of the equation.
-5 + 0.6x + -0.1x = 7 + 0.1x + -0.1x
Combine like terms: 0.6x + -0.1x = 0.5x
-5 + 0.5x = 7 + 0.1x + -0.1x
Combine like terms: 0.1x + -0.1x = 0.0
-5 + 0.5x = 7 + 0.0
-5 + 0.5x = 7
Add '5' to each side of the equation.
-5 + 5 + 0.5x = 7 + 5
Combine like terms: -5 + 5 = 0
0 + 0.5x = 7 + 5
0.5x = 7 + 5
Combine like terms: 7 + 5 = 12
0.5x = 12
Divide each side by '0.5'.
x = 24
Simplifying
x = 24
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