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3 years ago

I need help in these questions

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

All of these questions use the external angle theorem, that is

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠3 = 43° + 22° = 65°

∠2 + 71 = 92 ( subtract 71 from both sides )

∠2 = 21°

90 + ∠4 = 123 ( subtract 90 from both sides )

∠4 = 33°

2x - 15 + x - 5 = 148

3x - 20 = 148 ( add 20 to both sides )

3x = 168 ( divide both sides by 3 )

x = 56

Hence ∠ABC = x - 5 = 56 - 5 = 51°

2x + 27 + 2x - 11 = 100

4x + 16 = 100 ( subtract 16 from both sides )

4x = 84 ( divide both sides by 4 )

x = 21

Hence ∠JKL = 2x - 11 = (2 × 21) - 11 = 42 - 11 = 31°

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PLEASE HELP IMMEDIATELY!!!! Find x when – Negative one-half + x = –Negative StartFraction 21 over 4 EndFraction. – Negative Star

balu736 [363]

Answer:

-61/4

Step-by-step explanation:

-1/2 + x = - 21/4 - 23/4 - 19/4

-1/2 + x = -(21+23+19)/4

x = -63/4 + 1/2

x= -63/4 + 2/4

x = -61/4

Hope that helps, tell me if you need further explanation. =)

3 0

3 years ago

Read 2 more answers

What is the description of angle 4 as it relates to the situation below?

Murljashka [212]

Answer:

The correct option is 1.

Step-by-step explanation:

The angle of elevation is the angle formed by the line of sight and the horizontal plane for an object above the horizontal.

The angle of depression is the angle formed by the line of sight and the horizontal plane for an object below the horizontal.

Since the angle 4 is the angle between the line of sight and the ground for an object above the horizontal, therefore angle 4 is the angle of elevation from the person to the radar tower.

1. "Angle 4 is the angle of elevation from the person to the radar tower."

This statement is true.

2. "Angle 4 is the angle of depression from the radar tower to the person".

This statement is is false.

3. "Angle 4 is the angle of depression from the person to the radar tower".

This statement is false.

4. "Angle 4 is the angle of elevation from the radar tower to the person".

This statement is false.

5 0

3 years ago

Read 2 more answers

C. Polynomial functions: y = x4 - 3x2 - 3<br>Leading term<br>Leading coefficient :<br>Degree:

MrRissso [65]

Answer:

Step-by-step explanation:

hello : here is an solution

Leading coefficient : 1 , 0 , -3 ,0 , -3 because : y = 1x4+0x^3 - 3x2+0x - 3

Degree: 4

3 0

3 years ago

Write 6(x - 5)^4+ 4(x - 5)^2 + 6 = 0 in the form of a quadratic by using substitution

Juliette [100K]

Answer:

3m^2+2m+3=0

Step-by-step explanation:

6(x - 5)^4+ 4(x - 5)^2 + 6 = 0

(x-5)^2= m

6m^2+4m+6=0

3m^2+2m+3=0

5 0

3 years ago

Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason

Alina [70]

Answer:

12 trades

Step-by-step explanation:

Let's call 'x' the number of trades they will do.

After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.

To find the number of trades when they will have the same amount of cards, we have that:

20 + x = 44 - x

2x = 24

x = 12 trades

8 0

3 years ago