Which set of integers represents the lengths of the sides of an isosceles triangle? A. {6,6,5} B. {3,4,5} C. {15,5,10} D. {1,1,3}

Answer: 15

Step-by-step explanation:

General terms in AP

f, f+d, f+2d, f+3d, ....  , where f= first term and d= common difference.

The given A.P. : 18, a, b, - 3

here, f= 18    

[tex]f+d= a ...(i)\\\\f+2d = b ...(ii)\\\\f+3d= -3 ...(iii)\\\\[/tex]

Put f= 18 in (iii) ,

[tex]18+3d=-3\\\\\Rightarrow\ 3d= -3-18\\\\\Rightarrow\ 3d= -21\\\\\Rightarrow\ d=-7[/tex]

Put f= 18 and d= -7 in (i) and (ii) , we get

[tex]a=18+(-7)=11\\\\b=18+2(-7)\\\\\Rightarrow\ b=18-14\\\\\Rightarrow\ b=4[/tex]

Now, [tex]a+b= 11+4=15[/tex]

Hence, the correct answer is "15".

Answer:

19 throws.

Step-by-step explanation:

For her success rate to be 80% in 37 throws she must make  0.8 * 37

= 29.6 throw - that is 30 to nearest throw.

So for the next 20 throws she must make  30 - 11 = 19 throws.

Answer:

C. [tex]x[/tex] and $(x-6)$

Step-by-step explanation:

The roots of the quadratic equation are $0$ and $6$.

Hence the equation is $(x-0)(x-6)=x(x-6)$

Answer:

See below

Step-by-step explanation:

Answer:

Marie´s error was not to consider the number 8:

4x - 8 = 36

it´s equal to:

(4x-8)/4 = 36/4

4x/4 - 8/4 = 36/4

x - 2 = 9

x = 9+2

x = 11

probe:

4*11 - 8 = 36

44 - 8 = 36

Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

4x - 8 = 36

Marie add +8 on the left-hand side but forgot to add it to the right-hand side.

Thus, add +8 on the left as well as the right-hand side.

4x - 8 + 8 = 36 + 8

4x = 44

x = 11

Hence "Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11".

For more about the equation,

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Answer:

(- 1/2,5/3)

Step-by-step explanation:

Answer:

∠T ≅ ∠A

Step-by-step explanation:

Since, ∆MTW ≅ ∆CAD

Therefore, ∠T ≅ ∠A (cpct)

Answer:

22, 29, 37

Step-by-step explanation:

There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.

Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one

1+0=1

1+1=2

2+2=4

4+3=7

7+4=11

11+5=16

16+6=22

22+7=29

29+8=37

22, 29, 37

Answer:

The equal sign is generally placed at the separation between the left hand side and the right hand side

Step-by-step explanation:

Basically a typical equation has two parts, and one part is seen to be equal to the other part, and they are:

Generally equations are expressed algebraically,that is using letters/ alphabets and symbols to express mathematical relations

The left hand side mostly is the solution of the equation, while the right hand side contains symbols, alphabets used to find solution to the equation.

square ?

although this statement doesn't make any sense.

Answer:

Square!

Step-by-step explanation:

A rectangle is a parallelogram with all its interior angles being 90 degrees. A rhombus is a parallelogram with all its sides equal. This means that for a rectangle to be a rhombus, its sides must be equal. When this is satisfied, we have a square.

Hope helped.. If yes mark me BRAINLIEST

TYSM!

Answer:

Carl can type 450 words in 5 minutes at that rate.

Step-by-step explanation:

Every two minutes, carl can type 180 words. To find out how many words he can type in 1 minute, all we have to to is divide 180 by 2 to get 90wpm (words per minute)

if we multiply 90wpm by 5 Minutes, we get 450 words per minute

Answer:

x = 6/4, or x = 3/2, OR x = 1 1/2

Step-by-step explanation:

5x - [7 - (2x-1)] = 3(x-5) + 4(x+3)

Pick one side to work on first, I will chose the right side,

Distribute on the right side.

5x - [7 - (2x-1)] = 3x - 15 + 4x + 3

Now, add like terms on the right side.

5x - [7 - (2x-1)] = 7x - 12

Now, to isolate 7 - (2x -1), subtract 5x from both sides.

so now,

-7 - (2x-1) = 2x - 12

Now, we can add 7 to both sides of the equation to isolate -(2x-1)

we add instead of subtract because the seven is a negative.

-(2x-1) = 2x - 5

Now, there is still a negative sign in front of the (2x-1), so we distribute the - to the equation.

-2x + 1 = 2x - 5

Now, we can isolate the variable and numbers bu adding five to both sides, and adding 2 to both sides. This is to make the equation easier by removing any negative terms.

6 = 4x

Divide both sides by 4

x = 6/4, or x = 3/2, OR x = 1 1/2

Answer:

Solution : Degree 4

Step-by-step explanation:

We only have one variable in this case, x. Therefore we can take the degree of this variable to be our solution, 4. As you can see x^4 will have a degree of 4, as that is the exponent present.

Answer:

less than or equal to it hope this helps you!

Answer:

30

Step-by-step explanation:

6x

Replace 'x' with 5.

6(5) =

6 * 5 =

30

Hope this helps.

Answer:

30

Step-by-step explanation:

6 x 5 = 30

Answer:

Step-by-step explanation:

-d - 4 = -8

-d = -4

d = 4

Answer:

d= 4

Step-by-step explanation:

4d - 4 = 5d – 8

Subtract 4d from each side

4d-4d - 4 = 5d-4d – 8

-4 = d-8

Add 8 to each side

-4+8 = d-8+8

4 =d

Answer: x = 3

Step-by-step explanation:

Sqrt(x+7) - 1  = x

Sqrt(x+7) = x + 1

x+7 = x^2 + 1

x = x^2 - 6

x=3

Answer:

112°

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\widehat {BCD} = 2\times m\angle BAD\\

\therefore m\widehat {BCD} = 2\times 129\degree \\

\therefore m\widehat {BCD} = 258\degree\\\\

\because m\widehat{CD} = m\widehat {BCD}-m\widehat{BC} \\

\therefore m\widehat{CD} = 258\degree - 146\degree \\

\huge \red {\boxed {\therefore m\widehat{CD} = 112\degree}} [/tex]

Answer:

Below

Step-by-step explanation:

All figures are squares. The area of a square is the side times itself

Let A be the area of the big square and A' the area of the small one in all the 5 exercices

51)

● (a) = A - A'

A = c^2 and A' = d^2

● (a) = c^2 - d^2

We can express this expression as a product.

● (b) = (c-d) (c+d)

■■■■■■■■■■■■■■■■■■■■■■■■■■

52)

● (a) = A-A'

A = (2x)^2 = 4x^2 and A'= y^2

● (a) = 4x^2 - y^2

● (b) = (2x-y) ( 2x+y)

■■■■■■■■■■■■■■■■■■■■■■■■■■

53)

● (a) = A-A'

A = x^2 and A' = y^2

● (a) = x^2-y^2

● (b) = (x+y) (x-y)

■■■■■■■■■■■■■■■■■■■■■■■■■■

54)

● (a) = A-A'

A = (5a)^2 = 25a^2 and A' =(2b)^2= 4b^2

● (a) = 25a^2 - 4b^2

● (a) = (5a-2b) (5a+2b)

■■■■■■■■■■■■■■■■■■■■■■■■■■

55)

● (a) = A - 4A'

A = (3x)^2 = 9x^2 and A'= (2y)^2 = 4y^2

● (a) = 9x^2 - 4 × 4y^2

● (a) = 9x^2 - 16y^2

● (a) = (3x - 4y) (3x + 4y)

Answer:

9.1 hours

Step-by-step explanation:

Given

Sally

Speed = 66mph

Keith

Speed = 75mph

Time = 8 hours

Required

Determine how long Sally has traveled

To solve this, we make use of Speed formula.

Speed = Distance/Time

Make Distance the subject of formula

Distance = Speed * Time

For Sally:[Substitute 66mph for speed]

Distance = 66 * Time ------ Equation 1

For Keith [Substitute 75mph for speed and 8 hours for Time]

Distance = 75 * 8

Distance = 600m----- Equation 2

From the question, we understand that Keith caught up; this implies that they've both traveled the same distance.

Hence;

Equation 1 = Equation 2

66 * Time = 600

Time = 600/66

Time = 9.1 hours

Hence, Sally has traveled 9.1 hours

Answer: This is a periodic relation.

Step-by-step explanation:

This is a periodic relation, that can be modeled with a sinusoidal relation, that relates the height as a function of time.

Then we can write this as h(t) = A*sin(C*t + F) + B

Where A is the amplitude, C is a constant that depends on the period, F is a phase shift, and B is the midpoint of the function.

2*A is the distance between the maximum height and the minimum height.

B is the middle height of the Femis Wheel.

Answer:

35°

Step-by-step explanation:

Extending line BC to point E on line AD

angle CED = 20° + 95°= 115°

ang|BCD|= ang|CED| + y

150°=115° + y

y= 150° - 115°

y= 35°

Answer:

y = 35°°

Step-by-step explanation:

∠BCD = 360 - 150 = 210°

Sum of angles of quadrilateral = 360°

210 + 20 + 95 + y = 360

325 +y = 360

Subtract 325 form both sides

y = 360 - 325

y =35°

Answer:

Step-by-step explanation:

Adding both equations

4x+5y+5y-4x=19+38

10y = 57

y= 5.7

Subtracting equation i from ii

5y-4x-4x-5y=38-19

-8x=9

x= -0.9

Answer:

c

Step-by-step explanation:

i did the quiz

Answer:

8(a + b)

Step-by-step explanation:

Sun of a and b = a + b

8 times of (a + b) = 8(a + b)

Answer:

Tess wins the prize.

Step-by-step explanation:

[tex]\boxed{\text{Indi}: 2-3}[/tex]

[tex]\boxed{\text{Mark}: -7-(-4)}[/tex]

[tex]\boxed{\text{Tess}: -1-(-7)}[/tex]

The expression of Indi's card is 2 - 3 = -1

The expression of Mark's card is -7 - (-4) = -7+4= -3

The expression of Tess's card is -1 - (-7) = -1+7= 6

Answer:

5(12 : 3) -8

Step-by-step explanation

when you solve the first half of the equation you get 1.

so 9-1 is 8.

Answer:

fifth option

Step-by-step explanation:

Given

- 2(x - 5) ≤ 6x + 18 ← distribute left side

- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )

- 8x + 10 ≤ 18 ( subtract 10 from both sides )

- 8x ≤ 8

Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus

x ≥ - 1

Answer: 0.25

Step-by-step explanation:

To find :  decimal number represented by  point A on the given number line.

Given:  Vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4.

Point A is plotted at the third tick .

That means, Point A is marked at 1 over 4.

1 over 4 = [tex]\dfrac{1}{4}=0.25[/tex]    [divide 1 by 4]

Hence, the point A  represents 0.25 on the given number line.

Answer:

Step-by-step explanation:

Where is the picture

Answer:

Yes, you are correct.

Step-by-step explanation:

You are substituting the measure of angle x as the measure of angle a since they are congruent to each other.

Answer:

f(x) = 5 * ( 8/5) ^x

Step-by-step explanation:

f(x) = a b^x

Let x = 0

5 = a * b^0

5 = a*1

a = 5

Let x = 1

8 = 5 * b^1

Divide each side by 5

8/5 = b

f(x) = 5 * ( 8/5) ^x