Find the area of the circle.​

Note: Consider J is the intersection point of diagonals of quadrilateral FGHI.

Given:

[tex]GJ=11a[/tex]

[tex]IJ=a+10[/tex]

To find:

The value of a that makes quadrilateral FGHI a parallelogram​.

Solution:

We know that the diagonals of a parallelogram bisect each other.

If FGHI is a parallelogram​ and J is the intersection point of diagonals, then

[tex]GJ=IJ[/tex]

[tex]11a=a+10[/tex]

[tex]11a-a=10[/tex]

[tex]10a=10[/tex]

Divide both sides by 10.

[tex]a=\dfrac{10}{10}[/tex]

[tex]a=1[/tex]

Therefore, the required value of a is 1 units.

Answer:

( 1, 3)

Step-by-step explanation:

4x+y=7 * 2 = 8x + 2y = 14

 8x + 2y = 14

- 3x + 2y = 9

--------------------

 5x = 5

   x = 1

Now substitute x into the equation for 1

8*(1) + 2y = 14

8 + 2y = 14

2y = 6

y = 3

Answer:

the answer is (d)!! hope this helps

Step-by-step explanation:

Answer:

AB=12

ED=6

Step-by-step explanation:

AB=CD=12

BC=AD=26

ED=26-20=6

Step-by-step explanation:

when numbers are negative, the bigger the number looks the smaller it is therefore

-6 is smaller than -5

but 6 is bigger than 5

however, the numbers are;

-5.99, -3, -6, -5.9, -1, -5.999, -5 ,2

Answer:

[tex]CB.CA=CD .CK[/tex]

[tex]9(9+2x+5)=10(10+2x+1)[/tex]

[tex]9(2x+14)=10(2x+11)[/tex]

[tex]18x+126=20x+110[/tex]

[tex]126-110=20x-18x[/tex]

[tex]16=2x->x=8[/tex]

[tex]AB=2(18)+5[/tex]

[tex]=21[/tex]

So, your answer is B) 21

hope it helps...

Answer:

[tex]\frac{125}{147}[/tex]

Step-by-step explanation:

10% ÷ 24% ÷ 49%

1/10 ÷ 6/25 ÷ 49/100

5/12 ÷ 49/100

[tex]\frac{125}{147}[/tex]

Answer:

a= $29,505. it. is useful answer

Answer:

-48x^2 -666x+84

Step-by-step explanation:

Exponet is ^2.

Multiply is •

Use Distributed Property. Multiply the second parathesis by each term from the first parathesis.

Any expression multiplied by 1 remains the same. Distribute 41 through the parathesis. 41(2-7x-9x).

Distribute 3x through the parathesis 3x • (2-7x-9x).

You will have these numbers left: (Slide 2)

Add the numbers, 2 and 82 to get 84. Add -7x -9x + -287x -369x + 6x to get -666x. Add -21x^2 - 27x^2 to get 48x^2.

Use the communitative property to reorder the terms. And then your answer is -48x^2 -666x+84.

Answer:

translate 2 units to the left and compress by 1/2 in the y direction

Step-by-step explanation:

f(x)=x²

y = f(x + C)  C > 0 moves it left

We add 2 to move it 2 units to the left

h(x) = (x+2)^2

y = Cf(x) 0 < C < 1 compresses it in the y direction

g(x) = 1/2 (x+2)^2

Answer:

Below

Step-by-step explanation:

Discount: 40% of $159 = $63.60

Price you pay: $159 - $63.60 = $95.40

==================================================

Explanation:

Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.

Adding on another quarter slice gets us 4/4+1/4 = 5/4

In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.

So 1 & 1/4 = 5/4

This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.

Now we'll add on 1/2, which is the same as 2/4, like so

(-1 & 1/4) + 1/2

-(1 & 1/4) + 2/4

-(1 + 1/4) + 2/4

-1 - 1/4 + 2/4

-1 + (-1/4 + 2/4)

-1 + 1/4

-4/4 + 1/4

-3/4

which points us to choice C as our final answer

Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.

Side note: -3/4 converts to the decimal -0.75

Answer:

d = -9

Step-by-step explanation:

d = -20 + (1 x 11)

=-20 + 11

=-9

(27-9) x 3 / 9 + 18 = 42

Follow order of operations: parentheses first:

18 x 3 / 9 + 18 = 42

Next is multiplication and division in order from left to right:

18 x 3 = 54

54/9 = 6

Now you have 6 + 18 = 24

24 does not equal 42 so Phillipa is not correct.

The answer is C. She is not correct. The correct answer is 24

Answer:

answer=she is not correct

Step-by-step explanation:

(27-9)*3÷9+18

18*3÷9+18

18*1/3+18

18/3+13

6+13

19

use BODMAS rule (Bracket Of Division Multiplication Addition And Subtraction)

Answer:

4/5

Step-by-step explanation:

From the above question, we are given the number of people who like a particular flavor.

The number of people who like:

Vanilla = 36

Strawberry = 45

Therefore, the ratio of the people who prefer vanilla to the people who prefer strawberry is written as

Vanilla : Strawberry

= 36:45

= 4:5

= 4/5

Therefore, option B = 4/5 is the correct option

Answer:

57

Step-by-step explanation:

100 - 43 =

57

Answer:

He got 57% wrong

Step-by-step explanation:

If he got 43% correct, there is 100 percent on the assignment

100 -43 = 57

He got 57% wrong

Answer:

2 fl oz

Step-by-step explanation:

2 tbsp = 1 fl oz. Simply double.

Answer:

BC = 16 B=85 E=85 D=30 C=65

Step-by-step explanation:

Step-by-step explanation:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

91.7%

hope I helped

Answer:

Slope = 3

Step-by-step explanation:

Take two points and find the slope:

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{3-0}{-1-(-2)}\\\\m=\frac{3}{1}=3[/tex]

Answer:

Step-by-step explanation:

Hope this helps u !!

102=(1/3)πr²h

102×3÷π÷(4.96)²=h

h=3.96cm

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

For question 5:

For point a:

[tex]\to y=x^2[/tex]

For point b:

[tex]Maximum (0,0)[/tex]

For point c:

[tex]Domain: (-\infty,+ \infty)\\\\Range: (-\infty, 0)[/tex]

For question 6:

For point a:

[tex]\to y=-x^2[/tex]   (the negative sign is used to change the direction of the parabola)

For point b:

[tex]Maximum (0,0)[/tex]

For point c:

[tex]Domain: (-\infty,+ \infty)\\\\Range: (0,+\infty)[/tex]

Answer:

V = 36 pi cm^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3 where 4 is the radius

V = 4/3 pi(3)^3

V = 36 pi cm^3

Answer:

a) 9.135

b) 392.79

Step-by-step explanation:

Hope my answers are helpful

Answer:

x= 100

Step-by-step explanation:

straight line = 180⁰

180-(70+10)= 100

Answer:

1-

2X + 3Y = 330

2-

X + Y + Z = 3890

3-

1/3X + 2/3X = X

4-

X + Y = 27

Step-by-step explanation:

Para plantear ecuaciones para las siguientes situaciones se deben realizar los siguientes razonamientos lógicos:

1- Juan compró 2 panchos y 3 hamburguesas y le cobraron $330.

Panchos = X

Hamburguesas = Y

2X + 3Y = 330

2- Realizo un pago de la factura de luz, agua y cable en total me cobran $3890.

Luz = X

Agua = Y

Cable = Z

X + Y + Z = 3890

3- Un padre reparte un dinero X que recibió entre su esposa y su hijo, a su esposa le da el doble que al hijo.

Esposa = 2/3X

Hijo = 1/3X

1/3X + 2/3X = X

4- En el salón de clase hay 27 alumnos entre mujeres y varones.

Mujeres = X

Varones = Y

X + Y = 27

Complete Question:

Which of the following statements is not true?

Choose the incorrect statement below.

Answer:

B. A system of linear equations in two variables must have at least one solution.

Step-by-step explanation:

A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and its slope is always constant.

Similarly, a linear equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.

Generally, a system of linear equations in two variables must have at least two solution.

For example, y = 2x + 1 is a linear equation.

a. To find the value of y;

When x = 0

y = 2(0) + 1

y = 2 + 1

y = 3

b. To find the value of x;

When y = 0

0 = 2x + 1

2x = -1

x = -½

Answer:

6x -2y

Step-by-step explanation:

4x - 2y + 2x

Combine like terms

4x +2x - 2y

6x -2y

Answer:

6x - 2y

Step-by-step explanation:

Add 4x and 2x

6x - 2y

Hope this helps!

If you need more help with these types of equations, don't be afraid to reach out!

Answer:

y = 3x + 4

Step-by-step explanation:

Given:

Coordinates

(-3 , -5)

Slope m = 3

Find;

Equation of slope

Computation:

Given, x1 = -3 and y1 = -5

Equation of slope = y - y1 = m(x - x1)

Equation of slope = y - (-5) = 3(x + 3)

Equation of slope = y + 5 = 3x + 9

Equation of slope = y = 3x + 9 - 5

Equation of slope = y = 3x + 4

y = 3x + 4