How do I do this pls answer step by step explanation

Answer:

Step-by-step explanation:

Given: ABC is equilateral triangle.

AD = DB   & BE = EC   & CF = FA ------------(IV)

Proof:

  D & F are midpoint of the sides AB and AC

  DF = [tex]\frac{1}{2}BC[/tex]            {Midpoint theorem}    

DF = BE     ----------------(I)

D & E are midpoint of the sides AB and BC

DE = [tex]\frac{1}{2}AC[/tex]               {Midpoint theorem}      

DE = FA ----------------(II)

E & F are midpoint of the sides BC and AC

[tex]EF = \frac{1}{2}AB[/tex]                  {Midpoint theorem}

EF = AD   ---------------(III)

From (I) ; (II) ; (III) ; (IV) ,

DF =  DE = EF

DEF is an  equilateral triangle.

Answer:

10

Step-by-step explanation:

let the number be n then half the number is [tex]\frac{1}{2}[/tex] n , so

[tex]\frac{1}{2}[/tex] n + 69 = 74 ( subtract 69 from both sides )

[tex]\frac{1}{2}[/tex] n = 5 ( multiply both sides by 2 to clear the fraction )

n = 10

Thus the number is 10

Answer:

[y]=-18 so y belongs to (-18,-17)

Step-by-step explanation:

Answer: hm shouldn’t that just be -18?

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

This is a find the x equation!

4(x+9)=x+9

First we'll multiple the 4 into the paranthatsis

4x+36 = x +9

then we'll group the Xs together on one side, and the normal nubers (make sure to make sure the signs are right when moving them across the = sign)

3x=  -27

x = - 9

Answer:

Solution

x=1

x=−6

Step-by-step explanation:

x(+3)+2(x+3)=12

Answer: Sol={-6,1}

Step-by-step explanation:

1) we are searching value of x in R

[tex](x+2)(x+3)=12\\x^2+2x+3x+6-12=0\\x^2+5x-6=0\\\\x^2-x+6x-6=0\\\\x(x-1)+6(x-1)=0\\\\(x-1)(x+6)=0\\\\x=1\ or\ x=-6\\Sol=\{-6,1\}\\[/tex]

2) we are searching value of x in Z.

12=1*12 =(-1)*(-12)

12=2*6=(-2)*(-6)

12=3*4=(-3)*(-4)

[tex]\begin{array}{|c|c|c|c|c|}x=&x+2=&x+3=&(x+2)(x+3)=&is\ solution\\---&---&---&---&---\\1&3&4&12&True\\2&4&5&20&False\\3&5&6&30&False\\4&6&7&42&False\\6&8&9&72&False\\12&14&15&210&False\\---&---&---&---&---\\-1&1&0&0&False\\-2&0&1&0&False\\-3&1&2&2&False\\-4&2&3&6&False\\-6&-4&-3&12&True\\-12&-10&-9&90&False\\---&---&---&---&---\\\end{array}\\\\\\\boxed{Sol=\{-6,1\}}[/tex]

Answer:

1220.4

Step-by-step explanation:

S.I.=P×R×T÷100

=6000×4.52×4  1/2÷100

=6000×4.52×9÷2×100

=60×4.52×9÷2

=30×4.52×9

=1220.4

Answer:

[tex]5xy + 7 {xy}^{4} - 6 {x}^{3} - 10000[/tex]

Step-by-step explanation:

[tex]3xy + 7 {xy}^{4} - 6 {x}^{3} + 2xy - 10 {xy}^{4} [/tex]

[tex]3xy + 2xy[/tex]

[tex] (3 + 2)xy = 5xy[/tex]

[tex]5xy + 7 {xy}^{4} - 6 {x}^{3} - {10}^{4} [/tex]

[tex] {10}^{4} = 10 \times 10 \times 10 \times 10 = 10000[/tex]

[tex]5xy + 7 {xy}^{4} - 6 {x}^{3} - 10000[/tex]

Answer:

Are you talking about dilation of a polygon?

Step-by-step explanation:

Answer:  -30

Step-by-step explanation:  -c + 7x

-(2)+7(-4)

-2 -28 = -30

Answer:

-1/3 and -1/2

Step-by-step explanation:

as a rational number is of the form p/q where q is not equal to zero

Answer:

I think d is not a binomial from the option given

Answer:

[tex]\displaystyle \frac{24}{-6 + m}[/tex]

Step-by-step explanation:

Whichever term is called first represents the numeratour and the leftover represents the denominatour.

I am joyous to assist you at any time.

The expression is 24/ m-6

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Given:

the quotient of 24 and 6 less than m

=24/m-6

Learn more about expression here:

https://brainly.com/question/24416748

#SPJ2

Answer:

[tex]y = -2x +1[/tex]

(-1,3), (2,5):

[tex]y = -\frac{8}{3} x+\frac{1}{3}[/tex]

Explanation:

Answer:

the distance between points M(2,6) and N(3,1)

MN = [tex]\sqrt{(3 -2)^{2} + (1 - 6)^{2} }[/tex] =[tex]\sqrt{26}[/tex]

Answer:

4.5*4.5*45=911.25

is this correct answer

Answer:

[tex]v = u + at \\ u = 6 \\ a = 10 \\ t = 2 \\ then \\ v = 6 + 10 \times 2 \\ = 6 + 20 = 26 \\ thank \: you[/tex]

Answer:

x<13

Step-by-step explanation:

4x+12<64

Subtract 12 from both sides.

simplify 64 to 52.  

Divide both sides by 4.

simplify 52/4 to 13

Answer:

21 is the solution to solve for x.  22 and 23 can also be values!

Step-by-step explanation:

-1 - 13 = -14 / -2/3

x = 21

Answer:

5

Step-by-step explanation:

The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = [tex]-\frac{5}{x} x-1[/tex]

Parallel lines have the same slope. Therefore, using slope intercept form.

y = mx + b

m = slope

b = y-intercept

Therefore,

5x + 2y = 12

2y = -5x + 12

[tex]y = -\frac{5}{2} x+12[/tex]

The slope of the line is [tex]-\frac{5}{2}[/tex]

Base on parallelism, for the line that passes through (-2, 4)

y = mx + b

4 = [tex]-\frac{5}{2} (-2)+b[/tex]

b = -1

Therefore,

y =

learn more on parallel lines here: https://brainly.com/question/18245473

Answer:

48

Step-by-step explanation:

Question: 76+ (-28)

1. Subtract because a positive and a negative added together would make you have to subtract

76-28=48

Answer:

i think 90 people

Step-by-step explanation:

3,000 - 50 (clean up fee) - 64 (mark and heather) = 2886

32 x 10 = 320 ( cost of ten people )

2886 - (320 x 9) = 6

6 dollars left

I use a app on my phone called (photòmath) and it helps so much.

Step-by-step explanation:

Sum of supplementary angle = 180⁰

2x + 12 + 7x - 3 = 180

9x + 9 = 180

9x = 180 - 7

9x = 171

x = 171/9

x = 19

m<3 = 7(19) - 3 = 133 - 3 = 130⁰

m<4 = 2(19) + 12 = 50⁰

Answer:

Answer:

[tex]0.{ \bar{325}} = \frac{325}{999 } \\ [/tex]

Step-by-step explanation:

[tex]1000x = { \boxed{325.325}} \\ - x = { \boxed{0.325325}}[/tex]

if we subtract:

[tex] = 999x = 324.999675[/tex]

divide by 999:

[tex]x = \frac{324.999675}{999} \\[/tex]

round off mumerator to zero decimal place:

[tex]x = \frac{325}{999} [/tex]

Answer:

x = [tex]\frac{325}{999}[/tex]

Step-by-step explanation:

Step-by-step explanation:

0.325325325...

1000x = 325.325...

- x        -      0.325..

999x = 325

x = 325/999

x = [tex]\frac{325}{999}[/tex]

Answer:

C

Step-by-step explanation:

(x+3)(x+3) - 4x - 12 - 12

x² + 3x + 3x + 9 - 4x - 24

x² + 2x - 15

(x + 5) (x - 3)

Answer:

False B=1

Step-by-step explanation:

10b+18=28

Subtract 18 both sides.

10b=10

Divide 10 both sides.

b=1

Answer:

Assume x is directly proportional to y :

[tex]y \: \alpha \: x \\ y = kx[/tex]

when y is 9, x is 2:

substitute to find value of k :

[tex]9 = (k \times 2) \\ k = \frac{9}{2} [/tex]

Therefore, equation is:

[tex]{ \boxed{ \boxed{2y = 9 x}}}[/tex]