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3 years ago

Ray QM is the angle bisector of angle NQR. If angle PQN = 7x + 15 and angle NQM = 4x, what is the value of x?

Mathematics

1 answer:

Ksivusya [100]3 years ago

5 0

Answer:

x = 2.7

Step-by-step explanation:

From the question given above, the following data were obtained:

QM = angle bisector of angle PQR

Angle PQN = 7x + 15

Angle NQM = 4x

x =?

Since QM is the angular bisector, it means that it bisect PQR into two equal angle i.e 45° each.

See attachment for diagram.

Thus, we can obtain the value of x as follow:

7x + 15 + 4x + 45= 90° (angle in a right angle triangle)

7x + 4x + 15 + 45= 90

11x + 60 = 90

Collect like terms

11x = 90 – 60

11x = 30

Divide both side by 11

x = 30/11

x = 2.7

Therefore, the value of x is 2.7

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How many numbers of at least three digits can be formed from the indegers 1,2,3,4,5,6

bija089 [108]

Answer:

The answer is 1920, right? Here is how-

The numbers must contain at least three digit and can go above that which means the answer has 3 4 5 and 6 digits all together.

For three digits , there will be 6*5*4 = 120

For 4 Digits, There will be 6*5*4*3=360 possible numbers

For 5 digits , there will be 6*5*4*3*2 = 6! = 720

For 6 digits, there will be 6*5*4*3*2*1 = 6! = 720

<Note- the digits are non repeating as the question said it to be “different digits” >

Now add them up = 120+360+2*720 = 1920

Step-by-step explanation:

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3 years ago

Which is the constant term of the algebraic expression -2x^2+17-15x+7xy?

andrew11 [14]

The given expression is
-2x² + 17 - 15x + 7xy

The algebraic expression may be written as
-2x² + 7xy - 15x + 17

The constant term does not contain either x or y.
Therefore 17 is the constant term.

Answer: 17

7 0

2 years ago

Describe the nature of the roots for this equation.<br> 3x^2+x-5= 0

m_a_m_a [10]

Answer:

<h2>This equation has no natural roots.</h2>

Step-by-step explanation:

$3x^2+x-5=0\\\\\text{Use the quadratic formula for}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{For the given equation:}\\\\a=3,\ b=1,\ c=-5\\\\b^2-4ac=1^2-4(3)(-5)=1+60=61\\\\x=\dfrac{-1\pm\sqrt{61}}{(2)(3)}=\dfrac{-1\pm\sqrt{61}}{6}\notin\mathbb{N}$

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2 years ago

Read 2 more answers

Kristin bought eight boxes.A week later half of all her boxes were destroyed in a fire.There are now only 17 boxes left.With how

Dmitriy789 [7]

Answer:

She started with 26 boxes.

Step-by-step explanation:

She started with x boxes. Then she bought 8 more boxes. Now she had x + 8 boxes. Then half the boxes were destroyed, so she has the other half of the boxes. Half of the boxes is (x + 8)/2. She has now 17 boxes, so (x + 8)/2 = 17.

(x + 8)/2 = 17

Multiply both sides by 2.

x + 8 = 34

Subtract 8 from both sides.

x = 26

She started with 26 boxes.

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3 years ago

the area of a parallelogram os 150 square meters the height of the parallelogram is 15 meters what is the length of the parallel

lys-0071 [83]

The length is 10 meters.

150 divided by 15 is 10.

Hope this helps!

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3 years ago