What type of line is PQ?

Answer:

Statement 4 is true.

Step-by-step explanation:

- Statement 1 is false because a rhombus has 4 equal sides with 2 pairs being parallel to each other.

- Statement 2 is false because a trapezoid usually has only 2 sides that are parallel while the other 2 are not parallel. Thus it has only a pair of parallel sides.

- A square must have all 4 sides equal. But rectangles don't have all 4 sides equal and so the statement is false.

- Rhombus has all 4 sides equal and where it has all interior angles as right angles, it is called a square. Thus, some rhombus have all 4 interior angles as right angles.

The sample will be biased.

What is bias?

Bias is a disproportionate weight in favor of or against an idea or thing, usually in a way that is closed-minded, prejudicial, or unfair. Biases can be innate or learned. People may develop biases for or against an individual, a group, or a belief. In science and engineering, a bias is a systematic error.

Here, we have,

John wants to know his class’s favourite TV show, so he surveys all of the boys.

now, we get,

The sample will be biased.

to learn more on bias click:

brainly.com/question/28748065

#SPJ2

Answer:

[tex]\text{(a) }\$10,080,\\\text{(b) }\$11,289.60,[/tex]

Step-by-step explanation:

Since interest is compounded annually, the amount of money the account has after [tex]n[/tex] years is given by [tex]y=9,000\cdot 1.12^n[/tex].

(a) After 1 year, [tex]n=1[/tex]:

[tex]9,000\cdot 1.12^1=\boxed{\$10,080}[/tex]

(b) After 2 years, [tex]n=2[/tex]:

[tex]9,000\cdot 1.12^2=\boxed{\$11,289.60}[/tex]

Answer:

2009.6 in²

Step-by-step explanation:

The surface area, SA of a cone is obtained using the formular :

SA = πr² + πrl

Where ; r = Radius = 20 inches ; l = slant height = 12 inches

SA = π*20² + π*20*12

SA = 400π + 240π

Take π = 3.14

SA = (400*3.14) + (240*3.14)

SA = 1256 + 753.6

SA = 2009.6 in²

Answer: 68.40$ per member left.

Explanation:

8250 = 75x + 3120

5130 = 75x

68.4 = x

Answer:

(x+2y)(x−4y)

hope this helps!

Answer:

B. StartRoot 6 EndRoot mi

√6 mi

Step-by-step explanation:

A. 1 mi

B. StartRoot 6 EndRoot mi

C.19 mi

D. 19 StartRoot 6 EndRoot mi

d = √(3h/2)

Where,

d = distance they can see in miles h = their eye-level height in feet

Pam:

h = 324 ft

d = √(3h/2)

d = √{(3 * 324)/2}

= √972/2

= √486

= √(81 * 6)

= √81 * √6

= 9√6 mi

Adam:

h = 400 ft

d = √(3h/2)

d = √{(3 * 400)/2}

= √1200/2

= √600

= √(100 * 6)

= √100 * √6

= 10√6 mi

How much farther can Adam see to the horizon?

Adam - Pam

= 10√6 - 9√6

= √6 mi

Answer:

-14:9

Step-by-step explanation:

Given :

3 · (7 – 2) – 23 – (10 – 4) : 9

Now,

3 · (7 – 2) – 23 – (10 – 4) : 9

21-6-23-6:9

21-35:9

-14:9

Answer will be -14:9

Answer:

The hole is at (5,7)

Step-by-step explanation:

x^2 − 3x − 10

-------------------

x−5

Factor the numerator

(x-5)(x+2)

-------------------

x−5

There is a hole at x=5 since it will cancel in the numerator and the denominator

f(x) = x+2  and letting x = 5

f(5) = 5+2

The hole is at (5,7)

Answer:

20

Step-by-step explanation:

Answer:

28800 square feet

Step-by-step explanation:

We solve this using the Heron's formula

Area of a Triangle = √s(s - a)(s - b)(s - c)

s = a + b + c/2

s = 100 + 580 + 600/2 = 640

Area of the land(Triangle) = √640 × (640 - 100)(640 - 580)(640 - 600)

= √640 × (540) ×( 60) × (40)

= √(829440000)

= 28800 square feet

Therefore, the approximate the area of the land is 28800 square feet.

Answer:

It is true

Step-by-step explanation:

Hopes this help

Answer:

9/20

Step-by-step explanation:

After Bob eats 1/4 of the pie, he has 3/4 left. 2/5 of 3/4 is the same as (2/5)*(3/4) because "of" is used as multiplication in math. (2/5)*(3/4)=6/20, so he ate 6/20 of the pie. To get the answer, you need to solve 1-(1/4+6/20)=

1-(5/20+6/20)=20/20-11/20=9/20. I hope this helps and sorry if I made a mistake. :)

I'm pretty sure u chose all the ones with - in it

Here's an answer! :)

Answer:

A=36

Step-by-step explanation:

A=1/2(a+b)h

=1/2[(4+8)6]

=1/2[(12)6]

=1/2(72)

=36

Answer:

Perimeter of rectangle is 16 cm and the area of square is 1 cm^2

Step-by-step explanation:

Here, we want to get the perimeter of rectangle and area of square

From the question, the rectangle has 2 rows of 6 squares each; So we have the length as 2 cm and the width as 6 * 1 cm = 6 cm

So the rectangle is 6 cm by 2 cm

The perimeter of a rectangle is 2(l + b)

so, we have 2(6 + 2) = 2(8) = 16 cm

The area of the square is simply the side length raised to the power of 2

we have this as 1^2 = 1 cm^2

Answer:

c

Step-by-step explanation:

Answer:

£56.25

Step-by-step explanation:

Number of guest = 57

The 20cm cake :

Can serve 12 people and cost £13.50

The 25cm cake :

Can serve 20 people and cost £18.75

Since the cake has to be the same size, the only one particular size would have to be purchased ;

For the 20cm cake ; 57/12 = 4.75 = five 20cm cakes ;

£13.50 * 5 = £67.50

For 25cm cake ; 57 / 20 = 2.85 = three 25cm cakes

£18.75 * 3 = £56.25

£56.25 is lower ; hence, amount he'll have to pay is £56.25

Answer:

Greg weighs 180 pounds

Justin weighs 165 pounds

Answer:

x=35 this is your answer

Answer:

6.2

Step-by-step explanation:

P - 4.2 =2

we have to no separate the variables and constants

so , when we move 4.2 to the other side ( other side of 2) it will be something like this

p = 2+4.2

as you can wee when we moved 4.2 to the other side the operation changed from ,minuus to plus sign .

now just do what it says

formula :

=p-4.2=2

=p = 2+4.2

= 2+ 4.2= 6.2

so,

p=6.2

write the formula , I think no need to write explanation

Answer:

D)Factor the left side

Step-by-step explanation:

(x-2)(x-3)

Answer: [tex]93,\ 34^{\circ}[/tex]

Step-by-step explanation:

Given

For figure (i) both triangles are congruent

[tex]\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]

[tex]\Rightarrow PQ=8x-27\\\Rightarrow PQ=93[/tex]

For figure (ii)

Two triangles WXZ and WZY are congruent

[tex]\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}[/tex]

Answer:

k=98

Step-by-step explanation:

Let's solve your equation step-by-step.

56=k−42

Step 1: Flip the equation.

k−42=56

Step 2: Add 42 to both sides.

k−42+42=56+42

k=98

I Hope This Helps If Not Then Im Srry....

Answer:

A number we don't know

Step-by-step explanation: