How can we prove that at least one duplicate number must exist in Nums?

Answer:

Angle A = 15°

use angle properties of triangle to solve this.

Step-by-step explanation:

Given Angle CBD = 30,

Angle ABC + Angle CBD = 180 (Sum of Angles on the same straight line)

Angle ABC + 30 = 180

Angle ABC = 180 - 30 = 150

Since Angle AB =~ BC,

Angle A = Angle C

Let angle A and C be x.

Angle A + Angle C + Angle ABC = 180 (Sum of Angles in a triangle)

[tex]x + x + 150 = 180 \\ 2x + 150 = 180 \\ 2x = 180 - 150 \\ 2x = 30 \\ x = 15[/tex]

Therefore Angle A = 15 degrees

Answer:

(-2,2)

Step-by-step explanation:

Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.

Hope this helps ^-^

Answer:

$5

Step-by-step explanation:

Answer:

if c(10)=50, then 10 T-shirta cost $50

Answer:

it is a right triangle

Step-by-step explanation:

i have no explanation my sister told me with no explanation sorry

Answer:

Yes, the three segments 16,30,34 make a right triangle.

Step-by-step explanation:

The three segments are the following 16,30, and 34.

We will use the Pythagorean Theorem to find out if the three numbers can make a right triangle.

- [tex]a^2+b^2=c^2[/tex]

When we have 3 numbers given, our largest number is the hypotenuse.

So 34 is our hypotenuse, so we substitute it as the c in our formula.

And our a^2 and b^2 are 16 and 30!

- [tex]16^2+30^2=34^2\\256+900=1156\\1156=1156[/tex]

Our formula verifies that the three segments provided can make a right triangle.

Answer:

A

Step-by-step explanation:

Answer:

I think you divide 150 of 30

Step-by-step explanation:

and is 5

Answer:

D

Step-by-step explanation:

To solve this question we can use the area formula for an octagon.

It is as follows:

A=2(1+√2)a^2

where "A" is the total area and "a" is the length of a side.

Plug in our side length a=10.4

A=2(1+√2)10.4^2

≈522.24268

Alternatively, you can split the octagon into 8 equal triangles.

The base of each triangle would be 10.4 and the height would be 12.5 since opposite sides are 25 feet apart. (25/2)

The area of a triangle would then be:

A=1/2bh

where "b" is base and "h" is height

A=125*10.4*1/2

=65

Since there are 8 we multiply that by 8 for the area of an octagon

65*8=520

The area of the octagon base is 520 square feet.

I'll use this value to do my calculations as it is more exact.

Now, using this area, we need to find the volume of the pool we are meant to fill.

To do this, we simply multiply the area of the base by the height.

520*3=1560

Now, we know that the volume of the pool is 1560 cubic feet.

Each cubic foot takes 7.5 gallons to fill.

1560*7.5=11700

Therefore, the pool takes 11700 gallons of water to fill.

Answer:

1160

Step-by-step explanation:

1000×4/100% ×4=160

add the1000+160 since they have asked altogether=1160/=

Answer:

R17.98

Step-by-step explanation:

Required in the recipe = 250 g Fat free cottage cheese ;

125 g Fat free cottage cheese = R8.99

For 250g Fat free cottage cheese ; 250 / 125 = 2 125 g fat free cottage cheese is required ;

1 125 g Fat free cheese =. R8. 99

2 125g fat free cottage cheese =. R8. 99 * 2

R8. 99 * 2 = R17.98

V = 4/3 × 3 × 5^3

V = 4 × 125

V = 500 cm^3

Answer:

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

By intersecting chords theorem:

[tex]27(x + 5) = 24(x + 7) \\ 27x + 135 = 24x + 168 \\ 27x - 24x = 168 - 135 \\ 3x = 33 \\ x = \frac{33}{3} \\ x = 11[/tex]

Answer:

x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.

Step-by-step explanation:

James scored a total of 16 points during a basketball. Only free throws and 3-point baskets are used. Free throws = 1 point (x), 3-pointers = 3 points (y).

Set the equations:

16 = x + 3y

10 = x + y

First, isolate the variable x in the second equation. Divide y from both sides of the equation:

10 (-y) = x + y (-y)

x = 10 - y

Next, plug in 10 - y for x in the first equation:

16 = x + 3y

16 = (10 - y) + 3y

Simplify. Combine like terms:

16 = 10 - y + 3y

16 = 10 + (-y + 3y)

16 = 10 + 2y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 10 from both sides of the equation:

16 (-10) = 10 (-10) + 2y

2y = 16 - 10

2y = 6

Next, divide 2 from both sides:

(2y)/2 = (6)/2

y = 6/2 = 3

Plug in 3 for y in one of the equations:

16 = x + 3y

16 = x + 3(3)

16 = x + 9

Isolate the variable, subtract 9 from both sides of the equation:

16 (-9) = x + 9 (-9)

x = 16 - 9

x = 7

x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.

Plug in to check:

16 = x + 3y

10 = x + y

16 = (7) + 3(3)

16 = 7 + 9

16 = 16 (True)

10 = (7) + (3)

10 = 10 (True).

~

Answer:

x = 7 , y = 3  or 7 free throws, and 3 3-pointers.

Step-by-step explanation:

Answer:

Part A:

Cost: 10+x

Customers: 16 - 2x

Part B:

-2x^2+-4x+160 ≥ 130.

Part C:

$12

Part D:

$12 because it is greater.

Step-by-step explanation:

To know how to solve you do this

Put each number from part c like 13 is 3 and change the x

for example

-2(x)^2-4(x)+160

to

-2(3)^2-4(3)+160

Is it greater than ≥ 130 or equal to?

What evera is greater to is the answer.

Mark me BRAINLIETS PLS!!!!!!!!!!

Answer:

a. C=7π

b. C=14π

c. C=21π

d. C=28π

Step-by-step explanation:

To find the circumference, you need to multiply the diameter (d) by π times i.e. C=πd.

Answer:

She went over her amount of money on her first two gifts so she has no money left for gift C.

Step-by-step explanation:

Gift A = 10 + 7 + 10 = 27

Gift B = 6 + 2 + 5 = 13

27 + 13 = 40

She went over her amount of money on her first two gifts so she has no money left for gift C???

Did you mean to put that many numbers for each gift or is there some kind of mistake in the question?

Answer:

use socartic for help

Step-by-step explanation:

Answer: Open the photo (sorry for taking so much space)

Step-by-step explanation:

Answer:

2 x 3 x 5

Step-by-step explanation:

30/2 = 15

15/3 = 5

5/5 = 1

Answer:

16 ( answerC)

Step-by-step explanation:

8 1/4 divided by 2/4 is equal to 16.5. Assuming you aren't going to be having any half-guests at your party, the answer is 16.

PS, there are weird hackers who are posting links on here to their "answers". Don't click on them or else you will get the virus.

Answer:

Graph:

x   y

2  3

4   6

8  12

16 24

32 48

Step-by-step explanation:

Corrdinates for Linear: (5,2)

Hope this helps have a nice day :)

(I tried my best ;-;)

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{12x-4}{15x-5}[/tex] ← factorise numerator and denominator

= [tex]\frac{4(3x-1)}{5(3x-1)}[/tex] ← cancel (3x - 1) on numerator and denominator

= [tex]\frac{4}{5}[/tex]

Answer:

8

Step-by-step explanation:

it's 8 because parallel lines have equal slopes

Answer:

X is the amount Han made mowing lawns

because it said that she earned 3xs the amount he did. So you would take what he made times three plus the extra 27 she made from selling lemonade

Answer:

download photomath for problems like these

Answer: If 3.75 is 20% of the bill then $300 is the bill

Answer:

3 + 15 =

18

Step-by-step explanation:

0.5 x 6 =3

3 x 5 = 15

Answer:

1/2

Step-by-step explanation:

In a triangle rectagle:

Sinx= opposite leg / hypotenuse

On your case:

sin (30°)= 5/10= 1/2

Answer:

using trigonometry :

[tex] \sin(30) = \frac{perpendicular}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{5}{10} [/tex]

[tex] \sin(30) = \frac{1}{2} [/tex]

Answer:

4/7

Step-by-step explanation:

2.Mauricio llenó su auto en una gasolinera. Si el galón le costó $ 7,000 y él pagó 12,250 por el servicio, ¿qué fracción es la cantidad de galones que pagó Mauricio?

La fracción por la cantidad de galones que pagó Mauricio se calcula como:

Cantidad de galones / Cantidad total pagada por el servicio

= $ 7000 / $ 12,250

= 4/7

Por lo tanto, la fracción que es la cantidad de galones que pagó Mauricio es 4/7

Answer:

domain                     range

0                                7.5

1                                  15.5

2                                 13.5