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I need to find the Missing angle of this equilateral triangle

Answers

Answer 1

Answer:

Answer:

x = 120

Step-by-step explanation:

An equilateral triangle has 3 equal angles

The sum of the angles is 180

180/3 = 60

x + 60 = 180 since they form a straight line

x = 180-60

x = 120

Answer 2

Answer:

Answer:

X...................

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Both the galapagos Islands and the island of naura are on the equator, but the galapagos Islands are at 90.30 degree West whereas the island of naura is at 166.56 degree east. How far is it from galapagos Islands to naura travelling over the pacific ocean along the equator, correct to the nearest km

Answers

Answer:

11481.4875 km

Step-by-step explanation:

Given the that :

Galapagos island and Island of Naura are on the equator

Galapagos = 90.30°W

Island of Naura = 166.56°E

Ensuring same bearing is used for both :

Island of Naura = 166.56°E = (360° - 166.56°) = 193.44°W

Hence, we can calculate the difference in the bearing of both locations :

(193.44 - 90.30)°W = 103.14°

Hence the distance between Galapagos and Island of Naura along the equator is :

(Difference in bearing / total bearing) * earth's Circumference

Earth's Circumference = 40,075km

(103.14 / 360) × 40,075

0.2865 × 40,075

= 11481.4875 km

Solve the following equation for the given variable 3(x+6)=-9

Answers

Answer:

x = -9

Step-by-step explanation:

3(x+6)=-9

Divide each side by 3

3/3 *(x+6)=-9/3

x+6 = -3

Subtract 6 from each side

x+6-6 = -3-6

x = -9

Answer:

Step-by-step explanation:

so... 3(x+6)=-9

at 1st you do 3*x which is 3x then 3*6=18

all together is (3x+18)=-9

then get rid of brackets 3x+18=-9

after that take away 18 from both sides 3x+18=-9

-18 -18

which is 3x = -27

then you divide 3 in the both side

its going to be 3x = -27

3/3=1x or x then -27/3 = -9

so x = -9

The solution to 4.2x = 19.32 is x = ___. 0.28 0.45 4.6 15.12

Answers

the solution to this equation is x=4.6 because 19.32/4.2=4.6

i agree with Flibety's answer: " the solution to this equation is x=4.6 because 19.32/4.2=4.6 "

Transactions to a computer database are either new items or changes to previous items. The addition of an item can be completed less than 100 milliseconds 81% of the time, but only 20% of changes to a previous item can be completed in less than this time. If 30% of transactions are changes, what is the probability that a transaction can be completed in less than 100 milliseconds? Round your answer to two decimal places (e.g. 98.76).