The proof that triangle ABC is congruent to triangle CDA is shown. given a AB is parallel to cd and BC is parallel to DE prove triangle ABC is congruent to triangle CDA what is the missing reason in the proof

Answer:

3:54

Step-by-step explanation:

1 hour and 36 minutes after 2:18 is 3:54

Answer:

3

Step-by-step explanation:

First, we can start by multiplying the equation 2x - 3y = 12 by six to see where that gets us,

2x - 3y = 12 --> 12x - 18y = 72

12x - 18y = 72

5x + 6y = 18 (other equation)

We can notice that eliminating the y term would be the easiest to go about, so we want to find the number that we can multiply 6 by to get 18. That number is 3, so the factor is 3.

You can use the fact that non of 2 times 6 doesn't include 5 as factor.

There are two possible values of the factor by which if Yumiko multiplies the first equation and add the equations, a variable is eliminated.

Those values of the factor are [tex]3[/tex]   (for elimination of y) or [tex]-\dfrac{12}{5}[/tex] (for elimination of x)

Our aim in doing so is to make the coefficients of same variable equal and with opposite signs so that when we add the equations, that variable gets eliminated because of coefficient becoming zero.

For example, take the given equations and the factor by which Yumiko multiplied the second equation.

5x + 6y = 18

2x – 3y = 12 => 12x - 18y = 72   (since she multiplied this with 6)

Let she multiply the first equation with factor "p"

Then we will have the system as;

[tex]p \times 5x + p \times 6y = p \times 18\\12x - 18y = 72[/tex]

Adding both the equations, we get:

[tex](5p + 12)x + (6p - 18)y = 18p + 72[/tex]

Since there are two variables and since any one of them can be eliminated depending on the value of p, thus we have two cases:

Then we have coefficient of x = 0

or

[tex]5p + 12 = 0\\5p = -12\\p = -\dfrac{12}{5}\\[/tex]

Then we have coefficient of y = 0

or

[tex]6p - 18 = 0\\6p = 18\\p = \dfrac{18}{6} = 3[/tex]

Thus, there are two possible values of the factor by which if Yumiko multiplies the first equation and add the equations, a variable is eliminated.

Those values of the factor are [tex]3[/tex]  or [tex]-\dfrac{12}{5}[/tex]

Learn more about system of linear equations here:

https://brainly.com/question/13722693

Answer:

P = a + b + c + d

Step-by-step explanation:

Remember that perimeter is the measure of the outer edge of a shape, or otherwise, the sum of the measures of the sides of the trapezoid. Representing the perimeter by P, and the sides as a, b, c and d, our formula is P = a + b + c + d.

Answer:

l = 420 cm

Step-by-step explanation:

20.

Central angle  = 60°

The radius of circle, r = 7 cm

We need to find the length of the arc. We can find it as follows :

[tex]l=r\times \theta\\\\l=7\times 60\\\\l=420\ cm[/tex]

So, the length of the arc is equal to 420 cm.

Answer: C. Pyramid

Step-by-step explanation:

A cylinder is kind of like a paper towel roll.

A Rectangular prism is more like a cube.

A cone has a round part on the bottom.

And a Pyramid is this ...

Answer:

C) 153.9 in²

Step-by-step explanation:

14 ÷ 2 = 7

π = 3.14

3.14×7×7 = 153.9 in²

hope this helps!

Answer:

answer should be 154 but 153.9 in sq is the closest.

we have to find the area right?

It's physics, right?

A. will have box 2.

B. will have box 1

C. will have box 3

Answer:

Part A will be the 2nd line

Part B will be the 1st line

Part C will be the 5th line

*note* I don't know if these lines move as you move them so I getting these answers as if they do not move.

Step-by-step explanation:

Let's start with part A.

It says he rides quickly. This means that as the distance increases, the time will increase slower.

So we are looking for a steep line. The steepest lines are line 2, 3 and 4

We know it can not be the 4th line because these line shows that time is no longer moving, just the distance.

Since it is impossible to freeze time, line 4 does not make any sense. So let's look at line 2 and 3

This can be confusing because it says down hill. So you may think it is line 3. When Cole goes down the hill, he is getting further from home. This means the line has to go up.

So that means part A has to be line 2.

Now let's start with part B

When graphing distance and time, if someone stops, their line stops moving in one direction too.

If you stop moving, you are not gaining any distance but time still moves.

This means we are looking for a line that moves in only 1 direction. These lines are lines 1 and 4.

On line 1, only time is moving

On line 4, only distance is moving

So like I said before, it is impossible to move while time is not moving. So line 4 makes no sense again. Leaving us with line 1.

So part B is line 1

Now we will do part C

It says that Cole rides slowly.

This means the line will not be steep. He is also still moving so it can not be line 1.

So we have line 5 and 6.

Since he is still moving away from the house, the line has to go up in distance and time. So this eliminates line 6

This leaves us with line 5

So the answer to part C is line 5

Hope this helps and have a great day!

Answer:

0.5 cents per pound.

4.50/9 = 0.5

Please mark me brainliest! I hope this helps!

Answer:

6 Inches

Step-by-step explanation:

Subtract 26 from 32.

Answer:

g(x)=2(x-9)(x+3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first answer choice is correct i ma 100% sure

Answer:

(-1.2,0.3)

Step-by-step explanation:

does this help you

Answer:

x = 3

Step-by-step explanation:

Mathematically, the mean is the sum of the numbers divided by the count of the numbers

The count of the numbers is 5

Thus;

( 4 + 8 + 9 + x + 2x)/5 = 6

(21 + 3x)/5 = 6

21 + 3x = 6(5)

21 + 3x = 30

3x = 30-21

3x = 9

x = 9/3

x = 3

Answer:

n = 0 or 10

Step-by-step explanation:

From the question,

Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1

Coordinate of the circle = (6,n)

From the question

x = 6, y = n

Substitute the value of x and y into equation 1

(6-1)²+(n-5)² = 50

5²+(n-5)² = 50

25+(n-5)² = 50

(n-5)² = 50-25

(n-5)² = 25.

Solving for n

n-5 = √(25

n-5 = ±5

Either,

n-5 = -5

n = -5+5

n = 0

or

n-5 = +5

n = 5+5

n = 10

Answer:

n = 3.16

Step-by-step explanation:

Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.

Substitute x = 6 and y = n into the equation

(6 - 1)² + (n - 5)² = 50, that is, expanding using FOIL

5² + n² - 10n + 25= 50 by simplifying

25 + n² - 10n = 50 ( subtracting 50 from both sides and rearrange )

n² - 10n = 0 ← in standard form

n²=10

n = √10

The values of n is 3.16

Answer:

x=-2

Step-by-step explanation:

4+8x=-12

-4       -4

8x = -16

/8      /8

x   =   -2

Answer:

X=(-2)

Step-by-step explanation:

8(-2)=(-16)

so -16+4=(-12)

????????????

Step-by-step explanation:

?????????

Answer:

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

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Answer:

rang is 31

Step-by-step explanation:

Answer:

113.04 km²

Step-by-step explanation:

Formula - Area = πr²

= 3.14 * 6²

= 113.04 km²

Answer:

12579 nearest ten = 12580

18375 nearest ten =  18370

Answer:

60 unites

Step-by-step explanation:

Answer:

29 is 6x^2+12+42

31 is 12x^5 -15x^3 = 30x^2

Step-by-step explanation:

cant do the rest sorry

Answer:

29.) 6x² + 12x + 42

30.) 4x - 4x²

30.) -x³ - 5x²

31.) [tex]12x^5-15x^3+30x^2[/tex]

32.) -3x³ + 6x² - 36x

Step-by-step explanation:

29. 6 ( x² + 2x + 7 )

* distribute the 6 to what's inside of the parenthesis *

6 * x² = 6x²

6 * 2x = 12x

6 * 7 = 42

6x² + 12x + 42

30. 4x ( 1 - x )

* distribute the 4x to what's inside of the parenthesis *

4x * 1 = 4x

4x * -x = -4x²

4x - 4x²

For some reason there is two number 30's

-x² ( x + 5 )

* distribute the -x² to what's inside of the parenthesis *

-x² * x = -x³

-x² * 5 = -5x²

-x³ - 5x²

31.) 3x² ( 4x³ - 5x + 10 )

* distribute the 3x² to what's inside of the parenthesis *

[tex]3x^2*4x^3=12x^5\\3x^2*-5x=-15x^3\\3x^2*10=30x^2\\12x^5-15x^3+30x^2[/tex]

32.) 3x ( -x² +2x - 12 )

* distribute the 3x to what's inside of the parenthesis *

3x * -x² = -3x³

3x * 2x = 6x²

3x * -12 = -36x

-3x³ + 6x² - 36x

Note: When multiplying variables with constants and exponents you add the exponents and multiply the constants

Ex. 3x² * 4x²

Multiply the constants ( 3 and 4 )

3 * 4 = 12

Add the exponents [tex]^2^+^2^=^4[/tex]

[tex]3x^2*4x^2=12x^4[/tex]

Answer:

occurred during the same period of time

Step-by-step explanation:

Answer:

Occurred in the same period of time

Step-by-step explanation:

"Studying" and "making" are both past tense, and the word "while" implies it was the same time period.

Hope this helps :)

Answer:

y = 5/4 x + 9

y = -5x+4

Step-by-step explanation:

a)The equation of the line in slope intercept form is expressed as y = mx+b

m is the slope

b is the intercept

Given

Slope m = 5/4

y-intercpet = 9

Substitute

y = mx+b

y = 5/4 x + 9

b) Given the coordinates (0,4) and (2, -6)

Slope m = -6-4/2-0

m = -10/2

m = -5

Since the y intercept of the line is (0, 4), hence b = 4

Get the equation

Recall

y = mx+b

y = -5x +4

This gives the required equation

9514 1404 393

Answer:

  80 in^3

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base, and h is the height of the pyramid. Here, h=8 in.

__

Here, the base is a triangle. The formula for its area is ...

  A = 1/2bh

where b is the base segment of the triangle, and h is the height of the triangle perpendicular to the base segment. Here, b=10 in, and h = 6 in.

The triangular base area is ...

  A = 1/2(10 in)(6 in) = 30 in^2 . . . . base area "B"

__

Using the above base area and pyramid height, we find the volume of the pyramid is ...

  V = 1/3(30 in^2)(8 in) = 80 in^3

The volume of the pyramid is 80 cubic inches.

Answer:

I agree with daniel

Step-by-step explanation:

Given the area of a rectangle expressed as;

A(x) = 2x²+10x+12

On factorizing;

A(x) = 2x²+6x+4x+12

A(x) = 2x(x+3)+4(x+3)

A(x) = (x+3)(2x+4)

since A(x) = l(x)w(x)

Hence the legnth and width of the rectangle are 2x+4 and x+3.

Also A(x) = 2x²+6x+4x+12 can be factorized as;

A(x) = 2x²+4x+6x+12

A(x) = 2x(x+2) + 6(x+2)

A(x) = 2x+6(x+2)

Therefore I agree with Daniel. The factor differs due to the difference in arrangement of 4x and 6x in the expression. Precedence of values affects the final factors

Answer:

5 inches tall i think

Step-by-step explanation:

sorry if its wrong

Answer:

true proportion

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

hope it helps ya.

Can you give me brainliest? please?.ت︎

Answer:

2 years

Step-by-step explanation:

5%× 600= $30

$30×2=$60

not sure if you will get what I mean but that's how I worked it out.

Answer:

[tex]I = \frac{PRT}{100}[/tex]

P= $600

R= 5%

[tex]I = \frac{600 \times \ 5 \times T}{100} = 30T\\\\[/tex]

A = double the deposit =2  600= $1200

[tex]A = I + P \\1200 = 30T + 600\\30T = 600\\T = 20[/tex]