Justify the congruence between each of the following pairs of triangle.​

Answer:

To prove V is a subspace of R, you must show:

(1) It is not empty

(2) Adding vectors returns real numbers

(3) Multiplying by scalars return real numbers

2 & 3 follow the conditions that x,y must be real.

===

(1):

0 = 0 + 0 , therefor V cannot be an empty set. Really thats it.

===

(2)

Let u=(u1, u2 , 2u1-3u2)

Let v *lowercase =(v1, v2, 2v1-3v2)

Great, now lets add them. This isn't intuitive unless you finish reading it all.

u+v = ( u1 + v1 , u2 + v2 , 2u1 - 3u2 + 2v1 - 3u2 )

--> u + v = [ (u1+v1), (u2+v2) , (2u1 + 2v1) + (-3u2 - 3v2) ] (got like terms kinda)

====> All must equal (x,y, 2x-3y)

... which means x=u1+v1 & y=u2+v2 (you compare u+v to V for this)

===

(3)

Let c be a real number.

C(u) = (Cu1, Cu2, C2u1 - C3u2)

====> Must equal (x,y, 2x-3y)

... which means Cu1 = x & Cu2 = y

Cu is in V (because x,y are)

-> V is a subspace of R3.

Answer:

8+3x=x+10

2x=2

x=1

The number is 1

Answer:

B

Step-by-step explanation:

The volume of the cube is the total amount of cubes in the box.

Because the box is a cube, and you know the formula for volume of cube is  L³

L³=125

∛L³=∛125

L=5

there would be 25 cubes in each layer, not 125. Because one layer is L²

Answer: The second option would be the answer

Step-by-step explanation:

Factoring the number is just listing all the whole numbers it can be divided by, and in this case it includes the variable. 16a is dividable by 1, 2, 4, 8, 16, and a; since 16a / a = 16. Apply this to 18b, and 1, 2, 3, 6, 9, 18, and b.

Answer:

23.16 your welcome

Step-by-step explanation:

Step-by-step explanation:

numbers divisible by 2 end with an even number (2,4,6,8,0)

numbers divisible by 5 end with either 5 or 0

Answer:

A,D, and F

Step-by-step explanation:

Any number that is even is divisible by 2.

A D and F are even numbers. If a number ends in 2,4,6,8, or 0 then it is an even number, so you can just look at the last number and determine weather it is divisible by 2.

Answer:

16 i think hehe is it?.....

Answer:

16

Step-by-step explanation:

let ? be x then

11+20+x-2=45

29+x = 45

x = 45-29

x = 16

Answer:

a. 4/3

b. Test scores in percentage

c. y=4/3x +50

d. 78

Answer:

decompose

numerator

mixed number

Step-by-step explanation:

1. To DECOMPOSE is to break apart a number.

e.g. to decompose 853:  800 + 50 + 3

2. The NUMERATOR is the top number in a fraction (the bottom number is the denominator).

3. A number that has whole number part and fraction part is a MIXED NUMBER, e.g. [tex]6\frac23[/tex]

Answer:

x = -91/10

Step-by-step explanation:

-2(5x + 8) = 14 + 61

-10x -16 = 75

-10x = 91

-10x/-10 = 91/-10

x = -91/10

Graphs are used to represent functions and equations

The best value of x is x = 5

From the question, we understand that x represents the unit of calculating the resale in plot million of rands

This means that x cannot be negative.

So, we have x = 2 and x = 5

The graph is not given.

So, we can assume that the graph is a linear function with a positive slope

For a linear function with a positive slope, the higher the x value, the higher the output value

Hence, the best value of x is x = 5

Read more about graphs and functions at:

https://brainly.com/question/14323743

Answer:

1)Reflection,reflection

2)are congruent because reflections are used

Step-by-step explanation:

You reflect figure K so it's upside down.

Then reflect over the y-axis to make it to figure L

The process of two reflections, one horizontally, then vertically will map the two figures

-Chetan K

Answer:

A doctoral degree

A masters degree

Answer:

A,B

Step-by-step explanation:

Answer: A

Step-by-step explanation:

I believe it is a the parallelogram because it has at least one acute angle on the bottom and at least 2 parallel sides

Answer:

c

Step-by-step explanation:

the number goes to both of the numbers in the equation

9 bags sorry for the other answer

she has 7 boxes at home, then she goes and buys 6 more from the store, now she has 7 + 6 = 13 boxes of chips, each box of chip has 13 bags, so the total amount of potato chips I guess is 13 * 13 = 169 bags total.

So she split it even among her 9 students, so how many times does 9 go into 169?  169 ÷ 9, has a quotient of 18 with a remainder of 7.

18 * 9 = 162, plus 7 = 169, which is the total amount of potato chips bags.

Answer: Please give me more information, I am sorry :(

Step-by-step explanation: Please give me more information, I am sorry :(

( But I think is the length of the prism is 2cm ......)

Answer:

Step-by-step explanation:

The length of the prism is 2cm

Hope this helps!

The radiation experienced is inversely proportional to distance, Therefore the required equation will be l = k/r

Variation is defined as the changing of variable parameters. In problems relating to two or more variables, it is seen that the value of variable changes with respect to the other.

Variation can be direct, inverse, partial and joint in nature

Given the following parameters

The radiation experienced is inversely proportional to distance, Therefore the required equation will be l = k/r

learn more on variation here: https://brainly.com/question/6499629

Given :

⠀

To Find :

⠀

Solution :

We know that,

[tex]\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\: [/tex]

So,

Let's assume the width of the rectangle as x and the length will be (x + 2).

⠀

Now, Substituting the given values in the formula :

[tex]\qquad \sf \: { \dashrightarrow (x + 2) \times x = 48 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} + 2x = 48 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} + 2x - 48 = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} +8x -6x- 48 = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x} (x +8) -6(x+8) = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow (x +8) (x - 6) = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = -8, \: \: x = 6 }[/tex]

⠀

Since, The width can't be negative, so the width will be 6 which is positive.

⠀

[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 6\:ft}}}\: [/tex]

[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 6+2=8 \: ft}}}\: [/tex]

Answer:

d = -10

Step-by-step explanation:

Hey there!

Let's Solve:

-Chetan K

Answer:

35!

Step-by-step explanation:

5squared is 25 so you then do 25+10 wich = 35!

Answer:

( -2 , 1 )

Step-by-step explanation:

Add the 2 equations downwards.

( -x+4y=6 ) + ( 2x-y=-5 )...consider the sign of each term.

= x + 3y = 1

Put -2 in x because that's where the graph above shows an intersection of the 2 equations.

-2 + 3y = 1

3y = 3

y = 1.

( x , y) = ( -2 , 1 )

Answer: 32

Step-by-step explanation:

We can write the problem like this:

[tex]\frac{75}{100}x=24[/tex]

Then, we can multiply 100 to the equation:

[tex]75x=2400[/tex]

Now, we can divide 2400 and 75:

[tex]x=32[/tex]

Now we can conclude that the amount of students is 32.

Answer:

706.86 in^2

Step-by-step explanation:

The formula for the area of a circle is [tex]A = \pi r^{2}[/tex]

Since your radius was given (15 in) the area is:

[tex]A=\pi (15)^{2} =225\pi =706.86 in^2[/tex]

Answer:

10 ez

Step-by-step explanation:

400÷40 it like. 10 ÷ into 100

Answer:

8.8 m

Step-by-step explanation:

Area of triangle = 38.28 =  * b * 8.7b = 38.28 * 2 / 8.7b = 8.8 m

Answer:

Yes and no

Step-by-step explanation:

Prime numbers greater than 2 are always odd because if they were even they would be divisible by 2, becoming composite. Not all composite numbers are even, some may be a multiple of two odd numbers. For example, 21 = 3*7