What is AE?
Enter your answer in the box?

What Is AE?Enter Your Answer In The Box?

Answers

Answer 1

Answer:

AE = 18 units

Step-by-step explanation:

Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is

[tex]\frac{AE}{DE}[/tex] = [tex]\frac{AB}{DC}[/tex] , substitute values

[tex]\frac{2x+4}{x+8}[/tex] = [tex]\frac{12}{10}[/tex] ( cross- multiply )

10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides

20x + 40 = 12x + 96 ( subtract 12x from both sides )

8x + 40 = 96 ( subtract 40 from both sides )

8x = 56 ( divide both sides by 8 )

x = 7

Then

AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units


Related Questions

Which of the following is true of the discriminant for the graph below?

Answers

Considering that the quadratic equation has no solutions, the discriminant is classified as:

C. Negative.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

If [tex]\mathbf{\Delta > 0}[/tex], it has 2 real solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 real solutions.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.

Looking at the graph, the equation has no solutions, hence [tex]\Delta < 0[/tex] and option C is correct.

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Perform the indicated operation. Be sure the answer is reduced.

4x/2x+y + 2y/2x+y



4
2
1

Answers

Answer:

2y + y/x + 2

Step-by-step explanation:

is the answer.....

Can some help me with 12 and 13 and 14

Answers

12. The answer is C.

Let f(x) = 2x - 7 and g(x) = -6x - 3. Find f(x) + g(x) and state its domain.
HELP PLSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!


A : 12x2 - 48x + 21; all real numbers
B: -14x2 + 36x - 18; all real numbers except x = 7
C: 12x2 - 48x + 21; all real numbers except x = 1
D: -14x2 + 36x - 18; all real numbers

Answers

Answer:

Step-by-step explanation:

f(x) + g(x) = 2x -  7 - 6x - 3

f(x) + g(x) = -4x - 10

The domain is any real number.

I think you have mixed up the question. None of the choices are correct. They look like they belong to another choice.

It could be f(x)*g(x)

(2x - 7) (-6x - 3)

-12x^2 - 42x - 6x + 32

-12x^2 - 48x + 21

Well it could be either A or C since they are identical.

Show Workings.
Question is in attached image.​

Answers

Answer:

A.]A chord of a circle of diameter 40 cm subtends an angle of 70° at the centre of the circle.

Solution given;

diameter [d]=40cm

centre angle [C]=70°

(a) Find the perpendicular distance be tween the chord and the centre of the circle.

Answer:

we have

the perpendicular distance be tween the chord and the centre of the circle=[P]let

we have

P=d Sin (C/2)

=40*sin (70/2)

=22.9cm

the perpendicular distance be tween the chord and the centre of the circle is 22.9cm.

(b) Using = 3.142, find the length of the minor arc.

Solution given;

minor arc=[tex]\frac{70}{360}*πd=\frac{7}{36}*3.142*40[/tex]

=24.44cm

the length of the minor arc. is 24.44cm.

B.]In the diagram, XZ is a diameter of the cir cle XYZW, with centre O and radius 15/2 cm.

If XY = 12 cm, find the area of triangle XYZ.

Solution given:

XY=12cm

XO=15/2cm

XZ=2*15/2=15cm

Now

In right angled triangle XOY [inscribed angle on a diameter is 90°]

By using Pythagoras law

h²=p²+b²

XZ²=XY²+YZ²

15²=12²+YZ²

YZ²=15²-12²

YZ=[tex]\sqrt{81}=9cm[/tex]

:.

base=9cm

perpendicular=12cm

Now

Area of triangle XYZ=½*perpendicular*base

=½*12*9=54cm²

the area of triangle XYZ is 54cm².

Answer:

Question 1

a)

d = 40 cm ⇒ r = 20 cm

Let the perpendicular distance is x.

Connecting the center with  the chord we obtain a right triangle with hypotenuse of r and leg x with adjacent angle of 70/2 = 35°.

From the given we get:

x/20 = cos 35°x = 20 cos 35°x = 16.383 cm (rounded)

b)

The minor arc is 70° and r = 20

The length of the arc is:

s = 2πr*70/360° = 2*3.142*20*7/36 = 24.437 cm (rounded)Question 2

Since XZ is diameter, the opposite angle is the right angle, so the triangle XYZ is a right triangle.

r = 15/2 cm ⇒ XZ = d = 2r = 2*15/2 = 15 cm

Find the missing side, using Pythagorean:

[tex]YZ = \sqrt{XZ^2 - XY^2} = \sqrt{15^2-12^2} = \sqrt{81} = 9[/tex]

The area of the triangle:

A = 1/2*XY*YZ = 1/2*12*9 = 54 cm²

- CA Geometry A Illuminate Credit 4 FF.pdf

Answers

Answer:

hii

Step-by-step explanation:

7/12 - ( 1- ( 2/3 - 3/4 ) ) =

Answers

The solution couldn't fit but I can explain

You basically solve the sum in the brackets first

multiply the sign in the brackets after the sum

convert 4 seconds to hour​

Answers

Answer:

0.00111111 hrs

Step-by-step explanation:

Have a nice day

Answer:

4/3600 = .001111 hr

Step-by-step explanation:

4 seconds * 1 hour            *    1 minute            =    4/3600 = .001111 hr

                    60 minutes          60 seconds

Identify the first 4 terms in the geometric sequence given by the explicit formula ƒ(n) = 4 × 2(n – 1).

Answers

Step-by-step explanation:

1st term =4×2(1-1)=0

2nd term=4×2(2-1)=8

3rd term=4×2(3-1)=16

4th term=4×2(4-1)=24

Please need help explanation need it

Answers

Answer:

308 m^3

Step-by-step explanation:

The volume is given by

V = l*w*h  where l is the length , w is the width and h is the height

V = 7*4*11

V = 308 m^3

Solve. -7x+1-10x^2=0

Answers

Answer:

[tex]-7x+1-10x^2=0[/tex]

[tex]-10x^2-7x+1=0[/tex]

[tex]quadratic\:equation:-[/tex] [tex]ax^2+bx+c=0[/tex]

[tex]solutions:-\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]For \\A=-10\\B=-7\\C=1[/tex]

[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}}{2\left(-10\right)}[/tex]

[tex]\sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}=\sqrt{89}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{89}}{2\left(-10\right)}[/tex]

[tex]x_1=\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)},\:x_2=\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}[/tex]

[tex]\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)}=-\frac{7+\sqrt{89}}{20}[/tex]

[tex]\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}=\frac{\sqrt{89}-7}{20}[/tex]

[tex]x=\frac{\sqrt{89}-7}{20}[/tex]

OAmalOHopeO

Question#6 What is the next term of this sequence?-12, -15, -18, -21, ?
A.-22
B.-23
c. 24
D.-25

Answers

Answer:

-24

Step-by-step explanation:

-12, -15, -18, -21,

Notice that we are subtracting 3 each time

-12 -3 =-15

-15 -3 = -18

So -21 -3 = -24

9/37 is changed to a decimal. What digit lies in the 2005th place to the right of the decimal point?

Answers

Answer:

2

Step-by-step explanation:

Divide 9/37 and you get repeating decimal of 0.243

Divide 2005 by 3 because the decimal repeats 3 numbers

You will get reminder of 1 from dividing 2005 by 3

Move 1 place from the decimal point and you get 2

A train leaves in Zurich at 22 40 and arrives in Vienna 07 32 the next day Work out the Time train takes

Answers

Answer:

The train takes 8 hours and 52 minutes.

Step-by-step explanation:

Both Zurich and Vienna are in the same time zone, so there is no time to adjust the time zone.

Leaves: 22:40

Arrives: 7:32

From 23 to 7:32 there are (7 - 0) + (24 - 23) = 8 hours.

32 + (60 - 40) = 32 + 20 = 52 minutes.

The train takes 8 hours and 52 minutes.

Which of the following is a correct tangent ratio for the figure? A) tan (24) 76 B) tan(76°) °= 2 C) tan(76°) = D) tan(8") = 24 76​

Answers

Given question is incorrect; here is the complete question.

"Which of the following is a correct tangent ratio for the figure attached"

A) tan(76°) = [tex]\frac{24}{8}[/tex]

B) tan (76°) = [tex]\frac{8}{24}[/tex]

C) tan (24°) = [tex]\frac{76}{8}[/tex]

D) tan (8°) = [tex]\frac{24}{76}[/tex]

Option A will be the correct option.

   From the figure attached,

Given triangle is a right triangle.Measure of one angle = 76°Measure of two sides of the triangle are 24 and 8units.

By applying tangent ratio of angle having measure 76°.

tan(76°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{24}{8}[/tex]

    Therefore, Option (A) is the correct option.

Learn more,

https://brainly.com/question/14169279

What is the volume of this rectangular prism

Answers

volume is 5cm^3 teehee
A=length
B=width
H=height
V=volume

V= a x b x h = 4 x 1/2 x 5/2 = 5

Thank you so much for your help

Answers

Answer:

1.1x

Step-by-step explanation:

that is the procedure above

What is the vertex of y = - ½ x2 + 5x – 8

Answers

Answer:

vertex is (5/2, -57/4)

Step-by-step explanation:

What is the period 3 pi and 4 pi

Answers

Answer:

i think i know the answer sorry if im wrong but i would say B

Step-by-step explanation:

Determine the period

Answers

Answer:

3 units

Step-by-step explanation:

The period of a wave is the time taken to complete a cycle of motion of the wave

In the given figure, the graduations of the x-axis, which is the usually time axis = 1 unit

At the origin, (0, 0), the vertical displacement of the wave = 0

The maximum value of the wave function is between x = 0 and x = 1

The minimum value of the wave function is between x = 2 and x = 3

At the point (3, 0) the value of the wave function is again 0, and a cycle of the wave is completed

Therefore, the period of the wave = 3 units of the x-variable

Which expressions are equivalent to 2 ( 4 f + 2 g ) Choose 3 answers

Answers

Answer:

Since there are no choices to choose from, I'll make it up.

8f + 4g

8(f + 1/2g)

4(2f + g)

Hope this helps!! Please mark as brainliest if you don't mind! Thanks ^^

Please help!

A line intersects the points (-2, 8) and
(4, 12). Find the slope and simplify
completely.
Help Resource
Slope
[?]
= +
Hint: m =
y2-yi
X2-X1
Enter

Answers

Answer:

2/3

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

 = (12-8)/(4 - -2)

  (12-8)/(4+2)

  4/6

   2/3

If a 750 ml bottle of juice costs £1.90 and a 1 litre bottle of the same juice costs £2.50 then the 750 ml bottle is better value.

Answers

Answer:

The 1 liter bottle is better value

Step-by-step explanation:

Cost of 750 ml = £1.90

Cost of 1 liter = £2.50

1000 ml = 1 liter

Cost per 250 ml

750 ml / 3 = £1.90 / 3

250 ml = £0.6333333333333

Approximately,

£ 0.633

Cost per 250 ml

1 liter / 4 = £2.50 / 4

250 ml = £0.625

The 750 ml bottle is not a better value

The 1 liter bottle is better value

Introduction to area of a piecewise rectangular figure

Answers

Given:

The piecewise rectangular figure.

To find:

The area of the piecewise rectangular figure.

Solution:

Draw a line and divide the given figure in two parts (a) and (b) as shown in the below figure.

Figure (a) is a rectangle of length 5 yd and width 3 yd. So, the area of the rectangle is:

[tex]Area=length\times width[/tex]

[tex]A_a=5\times 3[/tex]

[tex]A_a=15[/tex]

Figure (b) is a square of edge 2 yd. So, the area of the square is:

[tex]Area=(edge)^2[/tex]

[tex]A_b=(2)^2[/tex]

[tex]A_b=4[/tex]

The area of the given figure is:

[tex]A=A_a+A_b[/tex]

[tex]A=15+4[/tex]

[tex]A=19[/tex]

Therefore, the area of the given figure is 19 square yd.

juans pencil box measures 6 cm long. if the length of the diagonal is 10 cm what is the width of the pencil box

Answers

Answer:

8 cm

Step-by-step explanation:

We can use the Pythagorean theorem to solve since we have a right triangle

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 +6^2 = 10^2

a^2 +36 = 100

a^2 = 100-36

a^2 = 64

Taking the square root of each side

sqrt(a^2) = sqrt(64)

a =8

Answer:

8 cm

Step-by-step explanation:

Use the Pythagorean theorem- [tex]a^{2} +b^{2} =c^{2}[/tex]

leg a: 6cm

leg b: unknown

hypotenuse: 10cm

Therefore [tex]6^{2} +x^{2} =10^{2} = 36+x^{2} =100[/tex]

Subtract 36 to 100 to isolate the [tex]x^{2}[/tex].    [tex]x^{2} =64[/tex]

Square root both sides and get your answer of 8cm

On Monday morning at 8:00 a.m. the temperature is – 14 o C. Over the
next 6 hours the temperature rises 6 o C. Between 2:00 p.m. on Monday
and 8:00 a.m. on Tuesday the temperature drops 9 o C. Over the next 6
hours the temperature rises only 4 o C. What is the temperature at 2:00
p.m. on Tuesday?

Answers

Answer : the temperature is -13 degrees Celsius

Find the diagonal of a rectangular frame which measures 77 in. by 36 in.

Answers

Answer:

Diagonal of a rectangular frame = 85 inch

Step-by-step explanation:

Given:

Length of rectangle = 77 inch

Width of rectangle = 36 inch

Find:

Diagonal of a rectangular frame

Computation:

Diagonal of a rectangle = √l² + b²

Diagonal of a rectangular frame = √77² + 36²

Diagonal of a rectangular frame = √5,929 + 1,296

Diagonal of a rectangular frame = √7,225

Diagonal of a rectangular frame = 85 inch

Calculate the answer to the correct number of significant figures: (1.705 + 0.5067) / (0.2 * 1.243) = ______.


8.897


8.8966


8.9


9


8.90

Answers

Answer:

8.9

Step-by-step explanation:

they said to the sig. figure so since it's 8.8966, so the answer will be 8.9

The answer to the correct number of significant figures is 8.897, the correct option is A.

What are Significant Figures?

Significant figures is a positional notation, these are the digits that are required to understand the quantity of something.

The expression is

⇒(1.705 + 0.5067) / (0.2 * 1.243)

=2.2117/0.2486

=8.89662

≈ 8.897

To know more about Significant figures

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PLS HELP QUESTION ATTACHED

Answers

Answer:

A

Step-by-step explanation:

the -1 represents the graph going down by 1

Steel rods are manufactured with a mean length of 29 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.07 cm. (a) What proportion of rods has a length less than 28.9 cm? (b) b) Any rods that are shorter than 24.84 cm or longer than 25.16 cm are discarded. What proportion of rods will be discarded?

Answers

Solution :

Given data :

The mean length of the steel rod = 29 centimeter (cm)

The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)

a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).

Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)

                                    = P(z < -1.42)

                                   = 0.0778

b). Any rods which is shorter than [tex]24.84[/tex] cm or longer than [tex]25.16[/tex] cm that re discarded.

Therefore,

P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)

                                         = 1.052

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