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Nikitich [7]
3 years ago
13

Quadrilateral TUVW is inscribed in the circle. Find m∠T, m∠U, m∠V, m∠W.

Mathematics
1 answer:
Fofino [41]3 years ago
3 0

Answer:

m∠T = 68°

m∠U = 95°

m∠V = 112°

m∠W = 85°

Step-by-step explanation:

m<V = (14z - 7)°

m<W = 10z°

m<T = 8z°

Recall that the sum of the opposite angles of a cyclic quadrilateral equals 180°.

Therefore:

(14z - 7)° + 8z° = 180°

Find z

14z - 7 + 8z = 180

22z - 7 = 180

22z = 180 + 7

22z = 187

22z/22 = 187/22

z = 8.5

Plug in the value of z in each case

✅m<V = (14z - 7)° = 14*8.5 - 7 = 112°

✅m<W = 10z° = 10*8.5 = 85°

✅m<T = 8z° = 8*8.5 = 68°

✅m<U = 180 - m<W

m<U = 180 - 85 = 95°

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Answer:

  4 1/6 miles per hour

Step-by-step explanation:

6 minutes is 1/10 hour, so Sara's speed is ...

  speed = distance/time

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Step-by-step explanation:

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3 years ago
In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

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8 0
3 years ago
Ill give brainliest to CORRECT ANSWER!
vovikov84 [41]

Answer:

A

Step-by-step explanation:

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3 0
2 years ago
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a barge can safely haul no more than 400 tons across the river. the barge has an empty weight of 24 tons. the average weight of
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Answer:

The barge can carry up to 94 railroad cars.

Step-by-step explanation:

Create an inequality to represent the weight of the barge to the max weight.

24 + 4r ≤ 400

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3 years ago
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