Using deductive reasoning, write the converse, inverse, and contrapositive of an if-
then statement.

Answer:

x = 6

Step-by-step explanation:

Given

[tex]\sqrt{2x-3}[/tex] + 4 = 7 ( subtract 4 from both sides )

[tex]\sqrt{2x-3}[/tex] = 3 ( square both sides )

2x - 3 = 3² = 9 ( add 3 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Answer:

total is 11

dice is 2

in percentage is 5.56%

in fraction form its 139/25

Step-by-step explanation:

hope that helps>3

Step-by-step explanation:

i see it as adding to the exterior while taking away from the interior getting bigger but losing the inside as an exchange

Answer:

d

Step-by-step explanation:

2 halfs for each cup and the extra 1 equals 9 total

Answer:

9 children.

Step-by-step explanation:

4 1/2 / 1/2

= 9/2 / 1/2

= 9/2 * 2

= 18/2

= 9.

Answer:

1 2/3 cm^2.

Step-by-step explanation:

Area = 1 2/3 * 1

= 1 2/3

Step-by-step explanation:

3x= (-8) -4

x=(-12)/3

x= -4

Hello!!! I can help

Answer:

 =  − 4

Step-by-step explanation:

Answer:

d=(ab+c+f)/e

Step-by-step explanation:

ab+c=de-f

de=ab+c+f

d=(ab+c+f)/e

Answer:

d = (ab + c + f)/e

BRAINLIEST, PLEASE!

Step-by-step explanation:

ab + c = de - f

ab + c + f = de

d = (ab + c + f)/e

Answer:

it's a Rational number

Step-by-step explanation:

because it repeats and stops

Hi, I'm happy to help!

A number is rational if it repeats itself, or stops. This number, both in fraction and decimal form (8.5), stops. This means that the number is rational.

I hope this was helpful, keep learning! :D

Answer:

c(half note), b(flat, quarter note), a(quarter note), g(quarter note), f(quarter note), e(flat, quarter note), d(quarter note), c(half note)

Step-by-step explanation:

i cant draw it on the sheet music itself but I hope that helps

TRUE TRUE TRUE TRUE TRUE

Answer:

true

Step-by-step explanation:12+2=14 that is simple distributive property

Answer:

Square

Step-by-step explanation:

A shape with 4 right angles and 4 sides of equal length is a square

It makes sense if you think about it for a couple minutes

Answer:

0>k

Step-by-step explanation:

0<4k-5k

Combine like terms

0<-k

Multiply each side by -1, remembering to flip the inequality

0>k

Answer:

Step-by-step explanation:

4) ∠CTB , ∠PTA are vertical angles

If sum of two angles add up to 90, then they are Complementary angles.

If sum of two angles add up to 180, then they are Supplementary angles.

∠FTA and ∠ATR are supplementary angles

5) ( 1 , 2 )  & (3 , 6)

[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)[/tex]

                [tex]= \left(\dfrac{1+3}{2},\dfrac{2+6}{2}\right)\\\\=\left(\dfrac{4}{2} \ , \dfrac{8}{2}\right)[/tex]

             [tex]\=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]

             = (2 , 4)

6) Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

                  [tex]=\sqrt{(3-1)^{2}+(6-2)^{2}}\\\\=\sqrt{2^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47[/tex]

Hi ;-)

[tex]-u+114=262\\\\-u=262-114\\\\-u=148 \ \ /:(-1)\\\\\huge\boxed{u=-148}[/tex]

Answer:

[tex] - u + 114 = 262 \\ u = 114 - 262 \\ u = - 148 \\ thank \: you[/tex]

Answer:

72 cups=4.5 gallons

72 cups=18 quarts

72 cups=36 pints

Step-by-step explanation:

To find out how many pints are in 72 cups you have to divide the volume value by 2. To find out how many quarts are in 72 cups you have to divide the volume value by 4. To find out how many gallons are in 72 cups you have to  divide the volume value by 16.

Hope this helped for you!

Answer:

Your answer is 33.

step- by step :

29×29-22×22=841-484

= 357

Closest square of 18 which is 324.

So, 357-324= 33. ans.

Answer:

x is 108° and y is 144°

Step-by-step explanation:

for x:

[tex] x + 36 \degree + 36 \degree = 180 \degree \\ \{isoceles \: triangle \: angle \: sum \} \\ x + 72 \degree = 180 \degree \\ x = 180 \degree - 72 \degree \\ x = 108 \degree[/tex]

for y:

[tex]y + 36 \degree = 180 \degree \\ \{straight \: line \: angles \} \\ y = 180\degree - 36\degree \\ y = 144\degree[/tex]

Answer:

X+36+36=180

X+72=180

X=180-72

X=108

36+BC^D=180

BC^D=180-36

BC^D=144

BC^D corresponds with y

Therefore y=144

Answer:

x < -3/4

Step-by-step explanation:

21x + 3x < 10 - 28

24x < -18

x < -18/24

x < -3/4

Answer:

never true.

Step-by-step explanation:

Answer:  Never true

Work Shown:

-2(2x+9) > -4x+9

-4x-18 > -4x+9 ... distribute

-18 > 9 .... add 4x to both sides; they cancel

The last inequality is false regardless of which x value you pick. Since the last inequality is always false, that means the first inequality is always false.

Answer:

1400m^2

Step-by-step explanation:

Solution,

Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,

Now,

Perimeter of the rectangle=2(l+b)

150=2(x+5+x)

150=2(2x+5)

150=4x+10

150-10=4x

140=4x

140/4=x

35=x

So, the breadth of the rectangle=35 m

and length=(35+5)m=40m

Again,

Area of the rectangle=l×b

=40m×35m

=1400 m^2

I hope it helped U

stay safe stay happy

Answer: Area= 1400[tex]meter^{2}[/tex]

Step-by-step explanation:

ok  so  we can assume the

breadth=X

so, length = X+5 (because the length is 5 meters more than the breadth)

perimeter= 150 meters

the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)

so now if we put the values,

2 * ( X+5 +X) = 150 ( because 150 is the perimeter)

2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).

now we multiply  2 with both sides

so ( 2 * 2X) + (2 * 5)

hence, 4X + 10 = 150

now we will solve the equation,

4X= 150 -10 (because we did transposal the signs will change from "+" to "-")

4x= 140

again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing

so now,

X= 140÷4

which is equal to 35

so finally X = 35

so as we have written in the beginning breadth= X

and LENGTH= X+5

so now we have found X

BREADTH= 35

LENGTH= 40 (because 35+5 is 40)

now we have to find area the formula for finding the area is LENGTH×BREADTH

so, 40 × 35 = 1400

now we put the unit which is square meters also known as [tex]m^{2}[/tex]

so there is your final answer 1400[tex]m^{2}[/tex]

Answer:

No solution.

Step-by-step explanation:

3(x - 6) + 12 = 6(x + 1) - 3x

3x - 18 + 12 = 6x + 6 - 3x

3x - 6 = 3x +6

-6 = 6

-6 ≠ 6

Answer:

Step-by-step explanation:

Take out a common factor (x)

x ( 1 - 0.10 )                

Now do the subtraction

0.90x

Answer:

436cm^2

Step-by-step explanation:

you're gonna have to round up to the nearest whole number.for no.2 split the shape so that it'll give u two rectangles.for no.3 find the area of the small rectangle and minus from the area of the big rectangle

Big rectangle =30*16=480

small rectangle =4*11=44

480-44=436

Answer:

i don't know what's the question

Step-by-step explanation:

like I don't know

Answer:

PQ = 4

Step-by-step explanation:

As ; PQ=QR

PR = 8

PR= PQ+QR —> 8 = 2x —> x= 8/2 = 4

SO ; PQ = 4 , QR = 4

I hope I helped you^_^