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Alex_Xolod [135]
2 years ago
9

ΔABC is an equilateral triangle. m∠A = (3x - 12)°. Solve for x.

Mathematics
2 answers:
Wittaler [7]2 years ago
6 0
If triangle ABC is equilateral, you know that each angle is 60 degrees because 180(the total of all angles in a triangle) divided by 3 is 60. 60 would equal 3x-12. 60=3x-12 then you cancel out the 12, 56=3x, and finally divide by 3... x=18.66! Hope this helps!
torisob [31]2 years ago
5 0
Since it is an equilateral triangle each side has to be 60 degrees in order to make the triangle equal to 180
I think that it would be 60=3x-12
then you would add 12 to the 60 giving you 72
Then finally you would divide 72 by 3 and get 24.
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A standard six-sided die is rolled $6$ times. You are told that among the rolls, there was one $1,$ two $2$'s, and three $3$'s.
Alex777 [14]

Answer:

Sequence = 120

Step-by-step explanation:

Given

6 rolls of a die;

Required

Determine the possible sequence of rolls

From the question, we understand that there were three possible outcomes when the die was rolled;

The outcomes are either of the following faces: 1, 2 and 3

Total Number of rolls = 6

Possible number of outcomes = 3

The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;

Sequence = \frac{6!}{3!}

Sequence = \frac{6 * 5 * 4* 3!}{3!}

Sequence = 6 * 5 * 4

Sequence = 120

Hence, there are 120 possible sequence.

7 0
2 years ago
Which of the following appear in the diagram below? Check ALL that apply.
Wittaler [7]

Answer:

∠ZXY and ZX

XYZ is not found on the diagram, as there is no line going from Z to Y, and YX is not a line segement in the diagram, its a full line.

4 0
2 years ago
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Nikki had a $50 gift card for her favorite store. She used the gift card to buy 4 DVDs and still had money available on the card
grandymaker [24]

Answer:

c

Step-by-step explanation:

c because 12.50x4=50 and she still had money left

7 0
2 years ago
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The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride a
Makovka662 [10]

Answer:

T=\frac{2}{3}

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

Step-by-step explanation:

We are given height function as

h=82.5sin(3\pi(t+0.5))+97.5

where

h is the height above the ground

t is the time

we can compare it with standard equation

y=Asin(B(t+C))+D

Period formula is

T=\frac{2\pi}{B}

now, we can compare and find B

B=3\pi

we can find period

T=\frac{2\pi}{3\pi}

T=\frac{2}{3}

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

5 0
2 years ago
Bill manages the quality department. His people check parts made by the production departments to assure all specifications are
OLga [1]

Answer:

Option B: Bill is​ a staff manager

Step-by-step explanation:

Bill manages the quality department. His people check parts made by the production departments to assure all specifications are met. Bill is​ - a staff manager.

Other duties of staff managers are :

He is in charge person that consumes revenue

He guides the line manager.

He helps to take decisions.

He assists line persons and help the top management in various business activities.

He also takes care of the line management and top management. Etc.

7 0
2 years ago
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