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3 years ago

PLZZZ HELP ITS AN EXAM !!!

Mathematics

1 answer:

Karolina [17]3 years ago

8 0

Answer:

The value of x is 5

Step-by-step explanation:

The measure of the exterior angle at one vertex of a triangle equals the sum of the measures of the two opposite interior angles to this vertex

In ΔQRS

∵ ∠QRS is an exterior angle of the triangle at vertex R

∵ ∠PQR and ∠RPQ are the opposite interior angles of vertex R

→ By using the rule above

∴ m∠QRS = m∠PQR + m∠RPQ

∵ m∠QRS = (10x - 10)°

∵ m∠PQR = (2x + 1)°

∵ m∠RPQ = (3x + 14)°

→ Substitute them in the equation above

∴ 10x - 10 = 2x + 1 + 3x + 14

→ Add the like terms in the right side

∵ 10x - 10 = (2x + 3x) + (1 + 14)

∴ 10x - 10 = 5x + 15

→ Subtract 5x from both sides

∵ 10x - 5x - 10 = 5x - 5x + 15

∴ 5x - 10 = 15

→ Add 10 to both sides

∵ 5x - 10 + 10 = 15 + 10

∴ 5x = 25

→ Divide both sides by 5 to find x

∴ x = 5

∴ The value of x is 5

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Step-by-step explanation:

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4 years ago

If RT is 10 centimeters long, what is ST?

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Who want s to talk? what is 2x2+6+9+3-1x2 i will give brainly to the right answer

Ivenika [448]

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Step-by-step explanation:

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3 years ago

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The team mascot shoots a rolled T-shirt from a special T-shirt cannon to a section of people in the stands at a basketball game.

Svet_ta [14]

For this parabola we have:
f ( 0 ) = 8
and : f ( 1 ) = 24
In the first equation ( A) :
f ( 0 ) = - 16 * ( 0 - 1 )² + 24 = - 16 * 1 + 24 = 8 ( correct )
f ( 1 ) = - 16 * ( 1 - 1 )² + 24 = 24 ( correct )
For B:
f ( 0 ) = - 16 * ( 0 + 1 )² + 24 = - 16 + 24 = 8 ( correct )
f ( 1 ) = - 16 * ( 1 + 1 )² + 24 = - 16 * 4 + 24 = - 64 + 24 = 40 ( false )
For C:
f ( 0 ) = - 16 * ( 0 - 1 )² - 24 = - 16 - 24 = - 40 ( false )
f ( 1 ) = - 16 * ( 1 - 1 )² - 24 = - 24 ( false )
For D:
f ( 0 ) = - 16 * ( 0 + 1 )² - 24 = - 16 - 24 = - 40 ( false )
f ( 1 ) = - 16 * ( 1 - 1 )² - 24 = - 24 ( false )
Answer:
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AveGali [126]

Answer: 5503680

Step-by-step explanation:

The coach wants 2 senior out of 36 so he have

C₃₆,₂ = 36!/( 36 - 2 )! = 36*35*34!/34! = 36 * 35 = 1260

possibilities

Now he also wants 3 juniors out of 14

C₁₄,₃ = 14!/ (14- 3)! = 14*13*12*11!/11! = 14*13*12 = 2184

Now for each pair of senior (from 1260 outcomes) coach has 2184 possiblities therefore

Coach has

2184 * 1260 = 2751840 possibilities to choose from

Again as there are 2 senior to choose for captain we have to multiply by 2 to get the total ways the team could be

2751840*2 = 5503680

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