The answer is 4.51.............
The required solution is ∠RQT = 202° and ∠QTS = 51°
<h3 />
<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 :
brainly.com/question/14323008
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Answer:
8 times larger
Step-by-step explanation:
4 · 
= 4 · 10 · 10 · <u>10</u> · <u>10</u> · <em>10</em> · <em>10</em> · 10
4 · 100 · <u>100</u> · <em>100</em> · 10
400 · 10000 · 10
= 40000000
5 · 
= 5 · 10 · 10 · <u>10</u> · <u>10</u> · 10
50 · 100 · <u>100</u> · 10
5000 · 1000
= 5000000
40000000 ÷ 5000000 = 8
Answer:
25 math problems
Step-by-step explanation:
He completed 10 out of x, or the total he has to do.
10/x
We know that this equals 40%
10/x=40/100
Cross multiply to solve
40*x=100*10
40x=1000
Divide both sides by 40
x=25
He must do 25 math problems
Answer:
77 m
Step-by-step explanation:
The geometry can be modeled by a right triangle. The distance from the viewpoint to the base of the tower is 110 m, the leg of the triangle adjacent to the angle. The height of the spire is the leg of the triangle opposite the given angle. The relevant trig relation is ...
Tan = Opposite/Adjacent
__
Using the given numbers, we find ...
tan(35°) = height/(110 m)
height = (110 m)tan(35°) = (110 m)×0.700208 ≈ 77.0 m
The height of the tower is about 77 meters.
