Is Triangle ABC cong Triangle DEF? If so name the postulate that applies

Answer:

45

Step-by-step explanation:

it only has 15 people as liking pears so if you already have a angle of 60 for apples that is you solution

Answer:

B (1)

Step-by-step explanation:

Answer:

[tex]\boxed{Area = 130 units^2}[/tex]

Step-by-step explanation:

Area of trapezoid = [tex]\frac{a+b}{2} h[/tex]

Where a = 7, b = 19 and h = 10

Area = [tex]\frac{7+19}{2} (10)[/tex]

Area = (26)(5)

Area = 130 units²

Answer:

35 combinations

Step-by-step explanation:

The first digit cannot be 5 or 6 (Since the digits could not be in ascending order if that was the case).

If the first digit is 4, there is 1 possibility:

(4, 5, 6)

If the first digit is 3, there are 3 possibilities:

(3, 4, 5) (3, 4, 6) (3, 5, 6)

If the first digit is 2, there are 6 possibilities:

(2, 3, 4) (2, 3, 5) (2, 3, 6) (2, 4, 5) (2, 4, 6) (2, 5, 6)

If the first digit is 1, there are 10 possibilities :

(1, 2, 3) (1, 2, 4) (1, 2, 5) (1, 2, 6) (1, 3, 4) (1, 3, 5) (1, 3, 6) (1, 4, 5) (1, 4, 6) (1, 5, 6)

If the first digit is 0, there are 15 possibilities:

(0, 1, 2) (0, 1, 3) (0, 1, 4) (0, 1, 5) (0, 1, 6) (0, 2, 3) (0, 2, 4) (0, 2, 5) (0, 2, 6) (0, 3, 4) (0, 3, 5) (0, 3, 6) (0, 4, 5) (0, 4, 6) (0, 5, 6)

Therefore, he would need to try at most 35 combinations.

Answer:

2

Step-by-step explanation:

thanks! i will do it too!

Answer:

The independent variable is s and the dependent variable is r

Step-by-step explanation:

r = 5s+3

The independent variable is s and the dependent variable is r

ii) When a polynomial f(x) is divided by (x-1) and (x+2) it leaves remainder 5 and 17 respectively. find the remainder when f(x) is divided by (x-1) (x+2)

14) The remainder when the expression  ax³ + bx² + 2x + c is divided by x-1

is twice of that when it is divided by  x + 1. Show that c = 3a - b + 6.

Answer:

ii) R(x) = -4x + 9

14) c = 3a - b + 6 ( Proved)

Step-by-step explanation:

14) The correct expression is [tex]ax^3 + bx^2 + 2x + c[/tex]

To get the remainder when the expression  [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by

x - 1, let x - 1 = 0; x = 1

Remainder:

[tex]R_1(x) = a(1)^3 + b(1)^2 + 2(1) + c\\R_1(x) = a + b + 2 + c[/tex]

When  [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by x + 1

Let x + 1 = 0; x = -1

Remainder:

[tex]R_2(x) = a(-1)^3 + b(-1)^2 + 2(-1) + c\\R_1(x) = -a + b - 2 + c[/tex]

According to the question, R₁(x) = 2R₂(x)

a + b + 2 + c = 2(-a + b - 2 + c)

a + 2a +b - 2b + 2 + 4 = 2c - c

c = 3a - b + 6 ( Proved)

ii)

The dividend is f(x)

(x - 1)(x + 2) is the divisor, i.e. D(x) = (x - 1)(x + 2)

Let the quotient = A(x)

Let the Remainder, R(x) = ax + b..............(1)

Therefore, f(x)  = A(x)D(x) + R(x)

f(x) = A(x)(x - 1)(x + 2) + R(x)...................(2)

When f(x) is divided by x - 1, x = 1

Put x = 1 into equation (2) knowing that R(1) = 5

f(1) = R(1) = 5

R(1) = a(1) + b = 5

a + b = 5....................(3)

When f(x) is divided by x + 2, x = -2

Put x = -2 into equation (2) knowing that R(-2) = 17

f(-2) = R(-2) = 17

R(-2) = a(-2) + b = 17

-2a + b = 17..................(4)

Subtracting equation (1) from (2)

-3a = 12

a = -12/3

a = -4

Substitute the value of "a" into equation (4)

-2(-4) + b = 17

8 + b = 17

b = 9

Since R(x) = ax + b

R(x) = -4x + 9

Answer:

first one is the right one

Step-by-step explanation:

Answer:

P = 0.3

Step-by-step explanation:

Here, we are to use the probability distribution in the table to calculate the probability that a children has 4 or more shoes in his or her closet

When we say 4 or more, what we mean by this is that the teenager has 4 shoes or 5 shoes

In probability expressions, when we use the term ‘or’ we are simply talking about adding the terms involved

So what we can do here is to add the probability that the teenager has 4 shoes to the probability that the teenager has five shoes

From the table that would be; 0.1 + 0.2 = 0.3

Answer:

b

Step-by-step explanation:

(y^3 * 2^5)^2

3x2=6

5x2=10

y6x2^10

Answer:

The solution ( 12,6) is correct, Lizette's solution

Answer:

[tex]x=12,\:y=6[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}\frac{2}{3}x+3y=26\\ 2x+\frac{1}{2}y=27\end{bmatrix}[/tex]

[tex]\frac{2}{3}x+3y=26[/tex]

[tex]\frac{2}{3}x+3y-3y=26-3y[/tex]

[tex]\frac{2}{3}x=26-3y[/tex]

[tex]3\cdot \frac{2}{3}x=3\cdot \:26-3\cdot \:3y[/tex]

[tex]2x=78-9y[/tex]

[tex]\frac{2x}{2}=\frac{78}{2}-\frac{9y}{2}[/tex]

[tex]x=\frac{78-9y}{2}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{78-9y}{2}+\frac{1}{2}y=27\end{bmatrix}[/tex]

[tex]\begin{bmatrix}78-\frac{17}{2}y=27\end{bmatrix}[/tex]

[tex]78-\frac{17}{2}y=27[/tex]

[tex]78-\frac{17}{2}y-78=27-78[/tex]

[tex]-\frac{17}{2}y=-51[/tex]

[tex]2\left(-\frac{17}{2}y\right)=2\left(-51\right)[/tex]

[tex]-17y=-102[/tex]

[tex]\frac{-17y}{-17}=\frac{-102}{-17}[/tex]

[tex]y=6[/tex]

[tex]x=\frac{78-9\cdot \:6}{2}[/tex]

[tex]x=12[/tex]

[tex]x=12,\:y=6[/tex]

Answer:

Train was late by 13 minutes.

Step-by-step explanation:

Time train took to travel = 290 miles / 50 mph

= 5.8 h

= 5h 48 min.

Time train left = 10:10 am

Time of arrival

= 10:10 + 5:48

= 15:58 pm

= 3:58 pm

Scheduled time of arrival

= 3:45 pm

Train arrived late by

3:58 - 3:45

= 0:13

= 13 minutes.

Answer:

2[tex]a^{7}[/tex] - 16[tex]a^{6}[/tex] + 18[tex]a^{5}[/tex]

Step-by-step explanation:

Given

(a²)(2a³)(a² - 8a + 9) ← multiply the first 2 factors

= 2[tex]a^{5}[/tex] (a² - 8a + 9) ← distribute the parenthesis by 2[tex]a^{5}[/tex]

= 2[tex]a^{7}[/tex] - 16[tex]a^{6}[/tex] + 18[tex]a^{5}[/tex]

Answer:

A. 2a^7-16a^6+18a^5

Step-by-step explanation:

on edge 2020

→Answer:

[tex]50.3cm^2[/tex]

→Step-by-step explanation:

Well the formula for the area of a circle is [tex]\pi r^2[/tex].

→Given information

Pi is 3.142

radius is 4 cm

answer must be rounded to the nearest tenth

____________________________________________________________

So now we have to plug in the given information into the following formula [tex]\pi r^2[/tex].

(3.142)(4)^2

So now we have to solve this formula using PEMDAS.

So 4 squared is 16 and 16*3.142 is 50.272cm^2.

The question clearly states the given answer must be rounded into the nearest tenth so 50.272 is 50.3 cm^2.

__________________I do hope this helps!__________________________

Answer:

22.12feet

Step-by-step explanation:

the ladder becomes your hypotenuse,the wall is the height,this forms a right angled triangle and the angle of elevation forms at the base,use sine which is opposite over hypotenuse to get your answer

Answer:

The answer is A.

Step-by-step explanation:

Given that the formula for midpoint is :

[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

So you have to subtitute the coordinates into the formula :

[tex]let \: m = (0,4) \\ let \: (x1,y1) = (6, - 2)[/tex]

[tex](0,4) = ( \frac{6 + x2}{2} , \frac{ - 2 + y2}{2} )[/tex]

Next, you have to solve it by comparison :

[tex]x⇒ \\ \frac{6 + x}{2} = 0 \\ 6 + x = 0 \\ x = - 6[/tex]

[tex]y⇒ \\ \frac{ - 2 + y}{2} = 4 \\ - 2 + y = 8 \\ y = 10[/tex]

Answer:

The volume of air in the auditorium = 5832 cubic meter

Step-by-step explanation:

Length, breadth, and height of the auditorium = 18m

Therefore, the volume of air in the auditorium

[tex]=18 \times 18 \times 18\\=5832 $ cubic meter[/tex]

An average adult person requires approximately 0.3 cu.M air per hour.

Therefore:

6480 adult person will require: 0.3 X 6480 = 1944 cu.M air per hour.

For three hours:

6480 adult person will require: = 1944 X 3 =5832 cubic meter of air

We notice that the volume of air in the room will be exhausted exactly after 3 hours when 6480 persons attend.

Therefore, the owner has taken this decision to avoid suffocation as an increase in the number of tickets or hours will cause such.

Answer:

its 1260°.

as by the formulae,

(n-2)×180°

we get,

sum of interior angle =(9-2)×180°

=1260°.....is anwer.

Answer:

Option D and E

Step-by-step explanation:

Time for guard passes = 5G

Time for kimura arm locks = 2K

Altogether:

=> 5G+2K

If he does 7 times:

=> 7(5G+2K)

Simplified form:

=> 14K+35G

Answer:

Option D and E

Step-by-step explanation:

Time for guard passes = 5G

Time for kimura arm locks = 2K

Altogether:

=> 5G+2K

If he does 7 times:

=> 7(5G+2K)

Simplified form:

=> 14K+35G

Answer: D) -4/3

Step-by-step explanation:

Slop can be represented as [tex]\frac{rise}{run}[/tex].  This equation rises -24 units then runs 18.  Thus, the slope is -24/18, or -4/3.

Hope it helps <3

Answer:

-4/3.

Step-by-step explanation:

To get the slope, you do the rise over the run.

In this case, the rise is going to be -24, since the track is falling. The run will be 18.

-24 / 18 = -12 / 9 = -4/3

Hope this helps!

Answer:

-10x +25

Step-by-step explanation:

–5(2x – 5)

Distribute

-5 * 2x - (-5) * 5

-10x +25

Answer:

-10x + 25

Step-by-step explanation:

-5(2x - 5)

Distribute the expression

-5(2x) + 5(5)

Multiply

-10x + 25

The expression cannot be simplified further

Hope this helps :)

Answer:

Hello!

________________________

(A) f(x) = |x|.

(B) f(x) = |x| + 3.

(D) f(x) = |x| - 6.

Would be correct!

Hope this helped you!

The functions that have a vertex with a x-value of 0 are:

f(x) = |x|

f(x) = |x|+ 3

f(x) = |xl - 6

An absolute value function is of the form:

f(x) = a|x - h| + k

where (h, k) represents the vertex

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex

Comparing each of the options with f(x) = a|x - h| + k, the following absolute value functions have a vertex with x-value of 0.

f(x)  =  |x|

f(x) = |x|  +  3

f(x) = |x|  -  6

Learn more here: https://brainly.com/question/11212326

Answer:

x=6

Step-by-step explanation:

The triangle is an equilateral triangle since all angles are 60 degrees

That means all sides are equal

3x-13 = x-1

Subtract x from each side

3x-13-x = x-1-x

2x-13 =-1

Add 13 to each side

2x= -1+13

2x = 12

Divide by 2

2x/2 =12/2

x = 6

Answer:

B. 6

Step-by-step explanation:

Two angles are 60 degrees, the other is also 60 degrees.

The triangle is an equilateral triangle.

All sides are equal.

3x - 13 = x - 1

3x - x = -1 + 13

2x = 12

x = 6

Given :   E=3, B=7 AND A=4  BASE +  BALL = GAMES

To find :   Other Digits  S , L G M

Solution:

 BASE

 BALL

GAMES

  74S3

  74LL

G 4M3S

if L = 0  then S = 3  but E = 3 ( hence not possible)

=> only possible solution

 3 + L = S

 & S + L  = 13

=> S + S - 3 = 13

=> S = 8

=> L = 5

  7483

  7455

 14938

L = 5

S = 8

M = 9

G = 1

Answer:

3x^2(3+x)

Step-by-step explanation:

Answer: 3x^2(3+1)

Because it is divisible by 3 and x^2

Answer: V+100

Step-by-step explanation: If your trying to get 0 then there is your answer

Answer:

 V-100 = 0 + 10i

so 0 and 10

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

The answer is 22. You solve the equation 3x+10=7x-6 like so

3x+10=7x-6

-3     = -3

    10= 4x-6

   +6  =       +6

     16=4x

      x=4

You then plug in the value of x to the equation for LM.

7x-6 becomes 7*4-6 which is 22.

Answer:

x = 37/45

Step-by-step explanation:

Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B

Ok, so these 2 triangles are similar, so we can set up a butterfly equation:

Side 1a would be 8x

Side 1b would be 5x +3

Side 2a would be 10x - 2

Side 2b would be 7x

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

Our equation would be

8x/(5x+3) = (10x-2)/7x

We cross multiply to get 8x(10x-2) = 7x(5x+3)

Instead of solving and getting squares, we can x on both sides and we get:

8(10x - 2) = 7(5x+3) ----> we simplify to get

80x - 16 = 35x + 21 ----> it's easy sailing from here.

45x = 37

x = 37/45

gosh i hope it's right...

Answer:

0.4

Step-by-step explanation:

Answer: 0.4

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

Answer:

136°

Step-by-step explanation:

The angle opposite of x and x are a pair of vertically opposite angles.

Vertically opposite angles are equal in size.