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Sedaia [141]
2 years ago
10

In circle o,SU is a diameter What is MST

Mathematics
2 answers:
Rom4ik [11]2 years ago
7 0

We have been given that SU is diameter of our circle so measure of arc ST will be equal measure of central angle SOT.

Diameter is longest line segment of a circle passing through center of circle. So angles formed by our diameter (straight line) will add up-to 180 degrees.

Let us set sum of measures of our angles equal to 180. We have been given that angle SOR and UOT are congruent angles, so we will set our equation as:

2(9x+5)+13x+15=180

Upon distributing 2 we will get,

18x+10+13x+15=180

31x+25=180

31x=180-25

31x=155

x=\frac{155}{31} =5

We can find measure of angle SOT by sum of measures of angle ROT and UOT.

\angle SOT=(13x+15)+(9x+5)

\angle SOT=13x+15+9x+5

Let us combine like terms.

\angle SOT=22x+20

Let us substitute x=5 in our given equation.

\angle SOT=22\cdot 5+20

\angle SOT=110+20=130

Therefore, measure of arc ST will be 130 degrees.

erik [133]2 years ago
6 0
It's 130 hope the answer helps
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If I buy 3 4/5kg of cherries and 2 1/4 of strawberry's what is the Mass kilograms of fruit
lisov135 [29]
If you would like to know how many kilograms of fruit do you have, you can calculate this using the following steps:

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3 years ago
A pizza chain plans to locate a new pizza franchise on the CCSU campus if the results of a survey show that more than 10% of CCS
kari74 [83]

Answer:

a) Null and alternative hypothesis:

H_0: \pi=0.1\\\\H_a:\pi>0.1

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.

c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.

d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%

e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.

Step-by-step explanation:

a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.

Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.

On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.

This can be written as:

H_0: \pi=0.1\\\\H_a:\pi>0.1

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PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
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Answer:

t = 8

Step-by-step explanation:

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