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saveliy_v [14]
3 years ago
6

PLEASE HELP GEOMETRY

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0

<u>Extending</u> one <u>side</u> of the given <u>triangle</u> one more <u>angle</u> can be obtained.

An exterior angle is the angle between any side of a shape, and a line extended from the next side.

The remote interior angles are the two angles inside the triangle that do not share a vertex with the exterior angle.

An adjacent interior angle to the exterior angle is the angle that together with this exterior angle are supplementary (when they add up to 180°).

Two angles are complementary when they  add up to 90°.

Extending one side of a triangle you get exterior angle.

Answer: correct choice is C

olga55 [171]3 years ago
3 0

Answer:

C.an exterior angle

Step-by-step explanation:

Definitions:

Remote interior angle : The two angles inside the triangle that do not share a vertex with the exterior angle.  

Adjacent interior angle : An adjacent interior angle to the exterior angle is the angle that together with this exterior angle are supplementary

An exterior angle : The angle between any side of a shape, and a line extended from the next side.

Complementary angles : Two Angles are Complementary when they add up to 90 degrees.

So, when we extend any side of the triangle so the angle formed with thus extended line satisfy the definition of exterior angle

Thus new angle is created by extending one side of a triangle is exterior angle

Hence Option C is correct

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A) 22-2•6=?<br> B) 6-1/4•16+21 divided by 3=?<br> C ) ( 8-5) ( 5-3) to the second power=?
sergejj [24]

The question has been solved based on the assumption that • represents multiplication operation

We will follow the rule of BODMAS to solve the questions. BODMAS means we solve the expression within the bracket first, then conduct division operation, followed by multiplication, addition and subtraction.

Part A

22-2•6

Let 22-2•6 be X

⇒ X = 22 - 12 (Conducting multiplication  operation first)

⇒ X = 10 (Conducting subtraction next)

Part B

6-1/4•16+21 divided by 3 indicates that the first part of the expression ( 6-1/4•16+21) needs to be divided by 3.

Let 6-1/4•16+21 divided by 3 be Y

⇒ Y = (6-1/4•16+21) ÷ 3

⇒ Y = (6-0.25•16+21) ÷ 3 (Solving the bracket first and starting with the division operation)

⇒ Y = (6-4+21) ÷ 3 (Conducting the multiplication operation next)

⇒ Y = (6-17) ÷ 3 (Conducting the addition operation next)

⇒ Y = (11) ÷ 3 (Conducting the subtraction operation next)

⇒ Y = 3.333... (Moving out of the bracket and conducting the remaining operation)

Hence, Y = 3.333...

Part C

(8-5) (5-3) to the second power indicates that the brackets need to be solved first. Also, power operation is conducted before division or multiplication.

Let (8-5) (5-3) to the second power be Z

⇒ Z =  (3) (2) to the second power (Solving the brackets first)

⇒ Z =  (3) (2²) (Conducting the power operation next)

⇒ Z =  (3) (4)

⇒ Z =  12 (Conducting the multiplication operation next)

Hence, Z = 12.

7 0
3 years ago
Solve my question please, I’ll mark u as brainlest if you solved my question!!!
algol13

Answer:

given \: that \: the \: cost \: of \: orchestra \: is \: three \: times \: of \: balcony \: ticket \\  let \: the \:cost \: of \:  balcony \: \: ticket \:  be \:x \\ so \: the \: cost \: of \: orchestra \: ticket \: sold \: be \: 3x \\ the \: total \: income = 3640 \\  \\ so \: the \: equation \: formed \:  = > 148(3x)+ 76(x) = 3640 \\  =  > 444x + 76x = 3640 \\  =  > 520x = 3640 \\  =  > x =  \frac{3640}{520} \\  =  > x = 7

so \: orchestra \: ticket \:  = 444x = 444 \times  = 3108 \\ and \: balcony \: ticket \:  = 76x = 76 \times 7 = 532

FOR PROOF = 3108+532 = 3640 total income

Hope it helps

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