Answer:
74.5
Step-by-step explanation:
i did it on my calculator and it says it is 74.5.
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 :
brainly.com/question/14323008
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The unit rate would be the price for 1 ticket.
12 dollars / 3 tickets = $4 per ticket.
The ratio would be 4:1
Answer:
200
Step-by-step explanation:
25 percent is known to be 1/4 of a number, so if 50 teachers represent 1/4 of all the teachers, that means that in order to get a full number, we must multiple 50 by 4 in order to get all 100% of the teachers.
By doing 50x4, we can conclude that 200 teachers teach at the school (aka 100% of all teachers)
11/30 bags of mulch is needed.
<u>Step-by-step explanation:</u>
We have to find the number of bags of mulch.
7 (1/2) sq. yards need 2(3/4) bags of mulch.
So one sq. yd need 2(3/4) / 7(1/2)
We have to change the mixed fraction into improper fraction and then dividing them we will get the answer.
2(3/4) = ((2×4)+ 3)/4 = (8+ 3)/4 = 11/4
7(1/2) = ((7×2)+1)/2 = (14+1)/2 = 15/2
11/4 ÷ 15/2
It change into multiplication as,
11/4 × 2/15 = 11/30 bags of mulch is needed.
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