Why is angle Q congruent to angle MPN and why is angle N congruent to itself. Thank you!

Answer:

8√30

Step-by-step explanation:

The length of the third side is 32 - 8 - 11 = 13. s (which is half of the perimeter) is 32 / 2 = 16 so the answer is:

√s(s-a)(s-b)(s-c) = √16 * (16 - 8) * (16 - 11) * (16 - 13) = √16 * 8 * 5 * 3 = √1920 = 8√30

Answer:

B' (16,14)

Step-by-step explanation:

Find the coordinates of the vertex B.

M is the midpoint of the diagonal AC.

A(2,7) and C(8,1), the center has coordinates Point M which is the midpoint of the diagonal BD.

Let B has coordinates (x,y),

B(8,7).

(x,y)→(2x,2y)

B(8,7)→B'(16,14).

Answer:

(16, 14)

Step-by-step explanation:

If there was no dilation, the fourth coordinate would be (8, 7)

Dilation of 2: (2x, 2y)

(16, 14)

Answer:

76

Step-by-step explanation:

SA=2lw+2lh+2hw, to find the surface area.

i have rounded the answer up by 1 decimal place

Answer:

i am not good in maths sorry the answer is 6075

Answer:

[tex]a=-6\quad and \quad b=8[/tex]

Step-by-step explanation:

[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]

By comparing the last expression with  [tex]a+b\sqrt{2}[/tex], we get:

[tex]a=-6\quad and \quad b=8[/tex]

Best Regards!

Answer:

8v

Step-by-step explanation:

Answer: A $2000

Step-by-step explanation:

Interest = prt / 100

= 5000 x .08 x 5

= 2000

Answer:

Its A I just took the quiz

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

To make these parallel, 2 and 5 would have to be corresponding angles, meaning that they have equal angle measure:

3x-20=x+20

3x=x+40

2x=40

x=20

Hope this helps!

Answer:

x= 20

Step-by-step explanation:

To make the lines parallel, angle 2  would equal angle 5

3x-20 = x+20

Subtract x from each side

2x -20 = 20

Add 20 to each side

2x-20 +20 = 20+20

2x = 40

Divide by 2

2x/2 = 40/2

x = 20

Answer:

Length of wire is required = 840 cm

Step-by-step explanation:

Given:

20 by 20 grid

Find:

Length of wire is required.

Computation:

We know that 20-20 grid required 21 lines.

20 cm vertical and horizontal.

⇒ Length of wire is required = (21 + 21)20 cm

⇒ Length of wire is required = (42)20 cm

⇒ Length of wire is required = 840 cm

Answer:

D)  [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Step-by-step explanation:

Step(i):-

Given equation

                x² + 5 x + 8 = 4

    ⇒        [tex]x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]

Step(ii):-

    By using (a + b)² = a² + 2 a b + b²

  ⇒        [tex](x + \frac{5}{2})^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]

  ⇒        [tex](x + \frac{5}{2})^{2} = 4 + (\frac{5}{2} )^{2} -8[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = (\frac{25}{4} ) -4[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = (\frac{25-16}{4} )[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Final answer:-

[tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Answer:

[tex]perimeter= 14\,x\,+ \,4[/tex]

Step-by-step explanation:

Recall the formula for the perimeter rectangle (the addition of all rectangle\s sides): That is: twice the width ( 4x)  plus twice the length (3x+2);

[tex]perimeter=2\,*\,width \,+\,2\,*\,length\\perimeter = 2\,(4\,x)+2\,(3\,x+2)\\perimeter= 8\,x+6\,x+4\\perimeter= 14\,x\,+ \,4[/tex]

Answer:

a. p= 36/(m + 1)

b. p = 3

Step-by-step explanation:

If p varies inversely as (m + 1)

then p = k × 1/(m + 1). {Where k is the constant}

when p = 4, m = 8, that means 4 = k/(8 + 1)

4 × 9 = k and k = 36

a. Therefore the equation is p= 36/(m + 1)

b. When m = 11,

p = 36/(11 + 1)

p = 36/12

p = 3

Answer:

Third option is the right choice.

Step-by-step explanation:

The intersection point of both lines is [tex](-2, 2)[/tex].

Area of triangle  [tex]\Rightarrow 12.5 = \frac{5\times x}{2}[/tex]

[tex]\Rightarrow x=5[/tex]

This represents the height of the triangle.

So, the y-coordinate of C, will be y-coordinate of point of intersection plus height of triangle.

y = 5+2 = 7

Best Regards!

Answer:f(4)=1/2

f(x)=4 when x is 8

The complete statements would be as:

⇒ function f(4) is 1/2 and function f(x) = 4 when domain x is 8.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the mapping diagram shows a functional relationship.

To determine the value of f(4)

As per the given functional relationship,

If the value of the domain is 4 then the value of the respective range would be 1/2.

Therefore, the function f(4) would be 1/2.

To determine the value of x,  when f(x) = 4

As per the given functional relationship,

If the value of the range is 4 then the value of the respective domain would be 8.

Therefore, x would be 8 if function f(x) = 4 .

Hence, the complete statements would be as:

f(4) is 1/2 and f(x) = 4 when x is 8.

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ7

Answer:

You have an obtuse, scalene triangle, so no :)

Step-by-step explanation:

Side a = 4

Side b = 9

Side c = 7

Angle ∠A = 25.209° = 25°12'32" = 0.43998 rad

Angle ∠B = 106.602° = 106°36'6" = 1.86055 rad

Angle ∠C = 48.19° = 48°11'23" = 0.84107 rad

Answer:

Triangle ABC is not a right-angle triangle.

Step-by-step explanation:

perimeter of the triangle: 20cm

AB=7cm and BC=4cm.

We can do the third length (AC) by subtracting the known lengths from the perimeter: 20 - 7 - 4 = 9

Therefore, the length AC is 9.If

ABC were a right angle triangle, we'd be able to use Pythagoras's Theorem to work out the length AC.

AC is the hypotenuse of the triangle because it is the longest length.

a2 + b2 = c242 + 72 = 16 + 49 = 65

Where AC = c, c2 = 65 If c = 9, then c2 = 81, however when using Pythagoras, c2 = 65.

I hope this helps. I am sorry if you get this wrong.

Answer:

PR = 180 cm

Step-by-step explanation:

Given PQ : QR = 7 : 3  = 7x : 3x ( x is a multiplier )

PQ - QR = 72, substitute values

7x - 3x = 72

4x = 72 ( divide both sides by 4 )

x = 18

Thus

PR = PQ + QR = 7x + 3x = 10x = 10 × 18 = 180 cm

Answer:

180

Step-by-step explanation:

PQ:QR= 7:3

PQ-QR=72

PQ= 126 cm, QR= 54 cm

PR= PQ+QR= 126+54= 180 cm

Answer:

0

Step-by-step explanation:

144 h = 6 days

Six days later would be midnight on May 1.

That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.

The probability of Adelaide being sunny at midnight is zero.

Answer:

A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.

Step-by-step explanation:

Answer:

33 students.

Step-by-step explanation:

There are between 24 and 40 students in a class.

The ratio of boys to girls is 4:7.

4×3:7×3

12:21

12+21=33

33 students in the class, which is between 24 and 40 students in a class.

4×2:7×2

8:14

8+14=22

22 is wrong because it has to be between 24 and 40 students in a class.

4×4:7×4

16:28

16+28=44

44 is wrong because it has to be between 24 and 40 students in a class.

4×1:7×1

4:7

4+7=11

11 is wrong because it has to be between 24 and 40 students in a class.

Answer:

5

Step-by-step explanation:

Answer:

≈37.7 feet

Step-by-step explanation:

I'm assuming he goes diagonally.

We can form a triangle with legs 20 feet and 32 feet.

Using the Pythagorean Theorem, we get:

[tex]20^2+32^2=c^2\\400+1024=c^2\\1424=c^2\\c^2=1424\\c=\sqrt{1424}\\[/tex]

c≈37.7

Answer: 37.7 ft

Step-by-step explanation:

20^2 + 32^2 = C^2 where c squared is the distance of the diagonal distance that  he wants to walk.

20^2 +32^2 =c^2

400 +1024 =c^2

1424 = c^2

c= 37.7359  rounded to the nearest tenth of a foot is 37.7

Answer:

(1/2) y^5

Step-by-step explanation:

1/( 2y^-5)

1/2 * 1/ y^-5

We know that 1/ a^-b = a ^ b

(1/2) y^5

Answer:

3x-24

Step-by-step explanation:

because 3x-24 divide both side by co efficient of x which is 3 so 24/3=8

Answer:

See attachment below

Step-by-step explanation:

For the first option, we are given m = - 2 / 3, b = 3. This is likely in the point - slope form y = mx + b, where m = slope and b = y - intercept. Thus, the equation of the line in point - slope form given this information, should be y = - 2 / 3x + 3. It seems as if none of the following equations match this form, so let us interchange the equation a bit,

y = - 2 / 3x + 3,

y + 2 / 3x = 3,

2x + 3y = 9 - Option C

_______________________________________________________

Next we are given m = - 3 / 2, and that this line passes through the point ( 4, - 1 ). Substitute m as - 3 / 2, x as 4, y as - 1, knowing point ( 4, - 1 ), into the form y = mx + b - solving for b.

- 1 = ( - 3 / 2 )( 4 ) + b,

b = 5,

Thus the equation in point - slope form should be y = - 3 / 2x + 5. None of the choices match this, so let us again alter the equation,

y = - 3 / 2x + 5,

2y = - 3x + 10,

- 2y = 3x - 10 - Option A

_______________________________________________________

( 6, 3 ) and ( 3, 1 ) is given to lie on this line. The slope of the line should be as follows,

Slope = 3 - 1 / 6 - 3 = 2 / 3

Now let us determine the y - intercept ( b ) by substitute one of the points, say ( 6, 3 ). In this case x = 6, and y = 3,

3 = ( 2 / 3 )( 6 ) + b,

b = - 1,

y = 2 / 3x - 1 = Option D

Take a look at the attachment below for further help;

Answer:

V = 672 cm³ (Option 3)

Step-by-step explanation:

Volume of Rectangular Prism = [tex]Length * Width * Height[/tex]

Where L = 14 cm, W = 6 cm and H = 8 cm

V = 14 * 6 * 8

V = 672 cm³

Answer: B and C

Step-by-step explanation:

-2343  is an integer and also a rational number since it can be expressed as a fraction.  

An integer is whole number and its opposite so -2343 is an integer because its opposite is 2343.

Answer:

4

Step-by-step explanation:

2^2

Answer:

4

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.

The sample space is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]

The sample space of the product xy of each outcome forms the required possibility diagram.

This is given as:

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

Answer:

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Step-by-step explanation:

[tex]7x^{3}[/tex] - [tex]21x^{2}[/tex]

[tex]7x^{2}[/tex] goes into both terms.

Divide both terms by [tex]7x^{2}[/tex].

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Answer:

The answer is true

Step-by-step explanation:

Hope this Helps!