The interior angles of a hexagon are (2x+17)0, (3x - 25)0, (2x+49)0,
(x+40)0, (4x-17)0 and (3x - 4) 0.
i. Find the value of x.
ii. Find the smallest interior angle of the quadrilateral.
iii. Find the largest exterior angle of the quadrilateral.
iv. Find the largest exterior angle of the quadrilateral.

Answer:

( 3 x − 2 ) ( x − 2 ) = 0

Set  3 x − 2  equal to  0  and solve for  x .

x = 2 3

Set  x − 2  equal to  0  and solve for  x .

x = 2

The solution is the result of  3 x − 2 = 0  and  x − 2 = 0. x = 2 3 , 2

The result can be shown in multiple forms.

Exact Form: x = 2 3 , 2

Decimal Form: x = 0. ¯ 6, 2

Step-by-step explanation: There you go hope it helps

Answer:

n=23/30

Step-by-step explanation:

n-1/10=2/3

n=1/10+2/3

n=3/30+20/30

n=23/30

Answer:

N=23/30

Step-by-step explanation:

n-1/10=2/3

n=1/10+2/3

n=3/30+20/30

n=23/30

Answer:

d

Step-by-step explanation:

Answer:

39.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

Since O.24 converted to a fraction is 24/100. 24% is equal to 0.24

Answer:

5/37.

Step-by-step explanation:

Sum:

3/4 + -4/7

= 21/28 - 16/28

= 5/28

Difference:

3/4 -  (-4/7)

= 3/4 + 4/7

= 21/28 + 16/28

= 37/28.

Dividing:

5/28 / 37/28

= 5/28 * 28/37

= 5/37.

Answer:

F(0)=(-4)x+1

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

f(0) = 4^0 -1 =0   because : 4^0 = 1

Answer:

b.[tex]9\sqrt{3}in[/tex]

Step-by-step explanation:

We are given that

Length of equilateral triangle=a=18 in

Base of oblique pyramid is an equilateral triangle.

We have to find the height of the triangular base of the pyramid

Height of the triangular base of the pyramid,h=[tex]acos\theta[/tex]

We know that each angle of equilateral triangle =60 degree

[tex]\theta=\frac{60}{2}=30^{\circ}[/tex]

Substitute the values

Height of triangular base of the pyramid,h=[tex]18cos30=18\times \frac{\sqrt 3}{2}[/tex]in

Using the value of

[tex]cos30^{\circ}=\frac{\sqrt 3}{2}[/tex]

Height of triangular base of the pyramid,h=[tex]9\sqrt{3}in[/tex]

Option b is true.

Answer:

It's the second option 9 √ 3 in

Step-by-step explanation:

just did it on edge

Answer:

C.

A.

E.

B.

Hope it will help :)

Answer:

Part 1= Lydia

Part 2= 392 ft or 4704 in

Step-by-step explanation:

let me know if you need any other help:)

Answer:

Usually pounds (lb) .About an an average of  20 to 25 pounds (lbs)

Step-by-step explanation:

Since Marvin uses Customary units, and considering the Watermelon.

Pounds,  He could estimate based on average of 20 to 25 pounds.

He could choose another customary units, but it wouldn't be practical and unusual to say a watermelon of 160 quarters, also it would leave all the listeners without parameters.

So, definitely pounds.

Answer:

Step-by-step explanation:

6x(a/6)-6x11=25x6

a-66=150

a=216

Answer: The answer is B, The amount of money you owe to the bank. Maybe A.....

( Vote me brainliest answer , please )

Answer: [tex]x=-1[/tex]

Add 8x to both sides

[tex]6x+1+8x=-8x-13+8x\\14x+1=-13[/tex]

Subtract 1 from both sides

[tex]14x+1-1=−13-1\\14x=-14[/tex]

Divide both sides by 14

[tex]14x/14=-14/14\\x=-1[/tex]

Answer:

[tex]6x + 1 = - 8x - 13 \\ 6x + 8x = - 1 - 1 3 \\ 14x = - 14 \\ \frac{14x}{14} = \frac{ - 14}{14} \\ x = - 1[/tex]

hope this helps you.....

Answer:

The sample should represent all the toys produced throughout the day, not just the first and The sample should represent an entire week or month, not just a single day

Step-by-step explanation:

Answer:

B&D

Step-by-step explanation:

Trust me plssss

Okay, we are going to solve this backwards!

First, we need to know that the formula for circumference is

c = π × d

d = diameter

π = 3.14

They told us what the circumference is, so let's plug it in

75 = (3.14) × (d)

let's solve for d

[tex]\frac{75}{3.14} = d[/tex]

d = 23.88 inches

We must remeber that the radius is HALF of the diameter, so let's divide the diameter by 2

[tex]\frac{23.88}{2} = 11.94[/tex]

Now, let's round to the nearest whole inch like they suggested

11.94 ≈ 12

The answer is 12 inches!

Given:

It is given that,

PQ ⊥ PS and

∠QPR = 7x-9

∠RPS = 4x+22

To find the value of ∠QPR.

Formula

As per the given problem PR lies between PQ and PS,

So,

∠QPR+∠RPS = 90°

Now,

Putting the values of ∠RPS and ∠QPR we get,

[tex]7x-9+4x+22 = 90[/tex]

or, [tex]11x = 90-22+9[/tex]

or, [tex]11x = 77[/tex]

or, [tex]x = \frac{77}{11}[/tex]

or, [tex]x = 7[/tex]

Substituting the value of [tex]x = 7[/tex] in ∠QPR we get,

∠QPR = [tex]7(7)-9[/tex]

or, ∠QPR = [tex]40^\circ[/tex]

Hence,

The value of ∠QPR is 40°.

Given:

The diameter of the circle P is 30 cm.

The radius of the circle P is 15 cm.

The measure of ∠RPS is 125°

We need to determine the arc length of QR.

Measure of ∠QPR:

The angles QPR and RPS are linear pairs.

Thus, we have;

[tex]\angle QPR + \angle RPS=180^{\circ}[/tex]

Substituting the values, we have;

[tex]\angle QPR + 125^{\circ}=180^{\circ}[/tex]

          [tex]\angle QPR =55^{\circ}[/tex]

Thus, the measure of ∠QPR is 55°

Arc length of QR:

The arc length of QR can be determined using the formula,

[tex]Arc \ length =(\frac{\theta}{360})2 \pi r[/tex]

Substituting [tex]\theta=55[/tex] and r =15, we get;

[tex]Arc \ length =(\frac{55}{360})2 (3.14)(15)[/tex]

[tex]Arc\ length = \frac{5181}{360}[/tex]

[tex]Arc \ length =14.4 \ cm[/tex]

Thus, the arc length of QR is 14.4 cm.

Hence, Option d is the correct answer.

Answer:

y = 6|x|

Step-by-step explanation:

y = |x|

When we scale vertically, we multiply by a constant

y = a f(x)

We are multiplying by 6

y = 6|x|

Step-by-step explanation:

The height of a cylinder is twice the radius of its base.

Let the height of the cylinder = 2x

Let the radius of the cylinder = x

By formula, volume of the cylinder = π[tex]r^{2}[/tex] h

here r = x, h = 2x

substituting the values in the equation, we get

volume of the cylinder = π[tex]r^{2}[/tex] h =  π [tex]x^{2}[/tex] (2x)

volume of the cylinder = 2π[tex]x^{3}[/tex]

The expression that represents the volume of the cylinder is 2x³π.

A cylinder is a three-dimensional object that is made up of a two circles that are attached to a rectangle.

Volume of a cylinder = πr²h

2xπx² = 2x³π.

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

#SPJ2

Answer:

Height of the cuboid= 2.5 cm

Step-by-step explanation:

Volume of a cuboid = length× width ×height

=> 100=8×5× h

=

[tex]h = \frac{100}{8 \times 5} [/tex]

[tex]h = 2.5[/tex]

height of the cuboid= 2.5 cm

Answer:1 zip weighs 30 lb

Step-by-step explanation:

3 zowies = 12 lb. so, 1 zowie = 4 lb.

2 zap = 20 lb. so, 1 zap = 10 lb.

1 zip = 30 lb.

One zip weighs 360 pounds.

1. One zip weighs as much as three zaps.

2. Two zaps weigh as much as five zowies.

3. Three zowies weigh as much as two swooshes.

4. One swoosh weighs 60 pounds.

We need to find the weight of one zip.

Step 1: Find the weight of one swoosh.

Since one swoosh weighs 60 pounds, we have:

1 swoosh = 60 pounds

Step 2: Find the weight of three zowies.

Since three zowies weigh as much as two swooshes, and one swoosh weighs 60 pounds, we have:

3 zowies = 2 swooshes = 2 * 60 = 120 pounds

Step 3: Find the weight of two zaps.

Since two zaps weigh as much as five zowies, and three zowies weigh 120 pounds, we have:

2 zaps = 5 zowies = 120 pounds

Step 4: Find the weight of one zip.

Since one zip weighs as much as three zaps, and two zaps weigh 120 pounds, we have:

1 zip = 3 zaps = 3 * 120 = 360 pounds

Answer:

B & C

Step-by-step explanation:

Use the Pythagorean Theorem:   a^2 + b^2 = c^2

A) 18^2 + 24^2 = 2,088   |   42^2 = 1,764     [NOT A]

B) 33^2 +56^2 = 4,225   |   65^2 = 4,225     [B IS CORRECT]

C) 19^2 + 180^2 = (32,761) = 181^2 = (32,761)     [C IS CORRECT]

D) 3^2 + 4^2 = 25  |   7^2 = 49     [NOT D]

I hope this helped you ! In return, please deem this the most brainliest answer.

Answer:

24cm

Step-by-step explanation:

The photo stays the same, the card changes. They must be proportional to each other.

15 by x cm means the 30 is going to be shortened, since it is being cut.

16 / 10 = 1.6

1.6 x 30 = 24

        or

[tex]\frac{16}{10} = \frac{x}{15} \\\\Divide\\\\\frac{16}{10} *\frac{15}{x} = \frac{240}{10x} = 24[/tex]

Answer:

6(x^2-3)

Step-by-step explanation:

Answer:

It would be a rational number.

Step-by-step explanation:

Definitely not a natural number but it is a whole, an integer, a rational, and a real number. It may not be obvious that zero is also a rational number.

Answer:

Fraction 2/3 has greatest value among the fractions 1/3,  2/3, and 2/9.

Greatest fraction to be determine among the fractions 1/3,  2/3, and 2/9.

What is the fraction?

Fraction is defined as the number of composition constitute the Whole.

Here,

1/3 = 0.33, 2/3 = 0.66 and 2/9 = 0.22.

2/3>1/3>2/9

Thus, fraction 2/3 has greatest value among the fractions 1/3,  2/3, and 2/9.

Answer:

{(-2, -3), (-3, -2), (2,3), (3, 2)}

Step-by-step explanation:

A function is a set of ordered pairs in which no two pairs have the same first number.

In other words, an x cannot be paired with two y's.

A function takes an x and pairs it with one and only one y.

{(0,0), (0, 2), (2.0), (2, 2)} is not a function because it pairs 0 with both 0 and 2.

{(2,-1), (2, 1), (3,-1), (3, 1)} is not a function because it pairs 2 with both -1 and 1.

{(2, 2), (2, 3), (3, 2), (3, 3)} is not a function because it pairs 2 with both 2 and 3.

Answer:

1st automobile

Step-by-step explanation:

Because it travel 271.8 miles on 10.1 gallobs of gasoline and the mile per gallon is 26.91 and the 2nd automobile travels 257.9 on 11.1 gallons of gasoline and the miles per gallon is 23.23 so the first auto mobile gets better gas mileage cuz it goes more miles and uses less gas

Answer:

4/5

Step-by-step explanation:

For lines represented by the equation "y = mx + b", m is the slope. In this case, m = 4/5