ABCD – FECG
what does (x) =

ABCD FECGwhat Does (x) =

Answers

Answer 1

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Sides of similar figures are proportional, so ...

  AB/FE = BC/EC

  x/6 = 10/5

  x = 6·(10/5) . . . multiply by 6

  x = 12


Related Questions

The lengths of the sides of a triangle are in the extended ratio 4 ​: 7 ​: 8. The perimeter of the triangle is 95 cm. What are the lengths of the​ sides?

Answers

Answer:

20 cm, 35 cm, 40 cm

Step-by-step explanation:

sum the parts of the ratio, 4 + 7 + 8 = 19 parts

Divide the perimeter by 19 to find the value of one part of the ratio.

95 cm ÷ 19 = 5 cm, then

4 parts = 4 × 5 cm = 20 cm

7 parts = 7 × 5 cm = 35 cm

8 parts = 8 × 5 cm = 40 cm

Thus the 3 sides are 20 cm, 35 cm and 40 cm

Answer:

The measure of the sides of a triangle will be:

4x = 4(5) = 20 cm

7x = 7(5) = 35 cm

8x = 8(5) = 40 cm

Step-by-step explanation:

Given that the lengths of the sides of a triangle are in the extended ratio 4 ​: 7 ​: 8.

Also given that the perimeter of the triangle is 95 cm.

We know that the Perimeter of a triangle is the sum of all the sides of a triangle.

As the lengths of the sides of a triangle are in the proportion 4 ​: 7 ​: 8. Thus, the measure of the sides will have the same scale factor x.

Therefore,

4x + 7x + 8x = 95

Add similar elements: 4x + 7x + 8x = 19x

19x =  95

Divide both sides by 19

19x/19 = 95/19

x = 5

Therefore, the measure of the sides of a triangle will be:

4x = 4(5) = 20 cm

7x = 7(5) = 35 cm

8x = 8(5) = 40 cm

Verification:

20 + 35 + 40 = 95

95 = 95

Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left. А. 28 1. What part of the story does represent? x + 1 x + 1 x + 1 x + 1 B 28 2. Would eating an apple be represented by subtraction or addition? 1 X X C С 1 3. Which diagram best represents the story? 4. What is the value of x? X-1 x-1 x - 1 28​

Answers

Answer:

X-1 X-1 X-1 28

Step-by-step explanation:

Find all possible solutions for x and y such that △ABC is congruent to △DEF.

△ABC: sides of length 19, 25, and 3x − 3.
△DEF: sides of length 25, 15, and 5 − y.

△ABC ≅ △DEF when x is ___ and y is ___.

Answers

Answer:

Step-by-step explanation:

it means the ABC And DEF have side lengths of 15,19, 25

so 3x-3 = 15

x = 6

5-y = 19

so y = -14

name some underrated animes i should watch.

Answers

Answer:

one i have is samurai flamenco

Step-by-step explanation:

its cool to me

Answer:

personally I think Death Parade is underrated.

Step-by-step explanation:

You should watch it

what is the correct meaning of the word background

Our new neighbors has an interesting background.

history

honesty

house

health​

Answers

(This is an English question) but it would mean A.history

Hope this helps

Have a great day/night

The parabola y = x^2 is shifted up by 7 units and to the left by 1 unit. What is the equation of the new parabola?

Answers

Answer:

6

Step-by-step explanation:

Answer:

(x+1)^2+7

Step-by-step explanation:

khan academy

Find the next three terms of the following arithmetic sequence. -10, -3, 4, 11, (Three missing numbers)

Answers

Answer:

You can find the difference of two numbers easier if you take the absolute value of them (which is canseling out the negative or positive of them, and figuring out how far away from 0 they are) |-10| = 10, |-3| = 3, the difference between 10 and 3 is 7. The only problem that arises is now we are dealing with and negative and a positive, for this one you must see that to get from -3 to zero, you need to add 3, and to get from 0 to 4, you need to add 4, if you add 3, and then 4, you get 7

The difference between 10 and 3 is 7

The difference between -3 and 4 is 7

So naturally, the next number will be 4 + 7 = 11

Hope that helped!

Work out the surface area of the solid cuboid.
8m
5m
2m

Answers

Answer:

Step-by-step explanation:

T.S.A=2(LXW) + 2(LXH) + 2(WXH)

=2(8mx5m) + 2(8mx2m) + 2(5mx2m)

=(2x40m²) + (2x16m²) + (2x10m²)

=80m² + 32m² + 20m²

=132m²

Tell whether the angles are adjacent or vertical. Then find the value of x.
I finished the angles, but need the value of x.

Answers

Answer : The angles are vertical angles and the value of x is [tex]25^o[/tex]

Step-by-step explanation :

Adjacent angles : It is defined as the two angles that have the common arm and common vertex.

Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.

And we know that the vertically opposite angles are equal.

In the given image, the angles are vertical angles and vertically opposite angles are equal.

So,

[tex](4x-25)^o=75^o[/tex]

[tex]4x-25^o=75^o[/tex]

[tex]4x=75^o+25^o[/tex]

[tex]4x=100^o[/tex]

[tex]x=\frac{100^o}{4}[/tex]

[tex]x=25^o[/tex]

Therefore, the angles are vertical angles and the value of x is [tex]25^o[/tex]

3.75x-5-8.75X+4.5+0.5

Answers

Step-by-step explanation:

3.75x-5-8.75x+4.5+0.5

=3.75x-8.75x+4.5+0.5-5

=-5x+5-5

==-5x

QUICK I NEED HELP!!! the question is: Roberto is using 12 blue tiles and 8 green tiles to design a of his outdoor patio which ratio compares the number of blue tiles to the number of green tiles in one section

Answers

12:8 is the correct answer

Mitch made 12 out of 40 shots during the championship game. What percent of his shot did Mitch make

Answers

Answer:

30%

Step-by-step explanation:

1) Divide how many shots Mitch made by the total amount of shots

12/40 = 0.3

2) Move the decimal place to places to the right to get the percentage.

0.3 --> 30%

227.4 + 213.5
513.9 – 46.1
348.2 + 62.8
637.9 – 206.3

Answers

Step-by-step explanation:

227.4 + 213.5  = 440.9

513.9 – 46.1  =  467.8

348.2 + 62.8  = 411

637.9 – 206.3   = 431.6

Answer:

1: 440.9

2: 467.8

3:  411

4: 431.6

Hope this helps.

Answer:

1.  440.9

2. 467.8

3.  411

4.  431.6

Step-by-step explanation:

17 apples and 12 oranges cost $10.44. 3 apples and 4 oranges cost $2.84. How much does 1 orange cost?

Answers

Answer:

0.48$

Step-by-step explanation:

Cost of 1 Apple = A

 

Cost of 1 Orange = O

 

 

Six apples and three oranges cost $3.36 equivalent to:

 

6A + 3O = 3.36 (1st equation).

 

Two apples and five oranges cost $3.04 equivalent to:

 

2A + 5O = 3.04 (2nd equation).

 

 

Now we have to solve the 2 equations with 2 uknowns (the cost of 1 Apple = A, and the cost of 1 Orange = O).

 

6A + 3O = 3.36 (Equation 1)

2A + 5O = 3.04 (Equation 2), multiplying this equation by 3 we get:

 

6A + 3O = 3.36 (Equation 1)

6A + 15O = 9.12 (Equation 2), Now equation 2 minus equation 1 we get:

 

 

6A-6A +15O -3O = 9.12-3.36 equivalent to:

 

12O = 5.76 => O = 5.76/12 = 0.48 ( the cost of one Orange is 0.48$)

 

Go back to equation 1 and solve for the cost of 1 apple:

 

6A + 3x0.48 = 3.36 =>

6A + 1.44 = 3.36 =>

6A = 1.92 =>

A = 1.92/6 = 0.32 ( the cost of one apple is 0.32$)

 

Summary: The cost of one apple is 0.32$ and the cost of one orange is 0.48$.

The answer is 48¢... Hope it helps!!

Find the nth term of this quadratic sequence.
3, 11, 25, 45

Answers

Answer:

3 , 11, 25, 45

Diff 8 14 20

Diff 6 6

The second differences are the same. The sequence is quadratic and will contain an n^2 term. The coefficient of n^2 is always half of the second difference. In this example, the second difference is 6. Half of 6 is 3 so the coefficient of n^2 is 3

therefore 3n^2

3 11 25 45

3n^2 3 12 27 48

Remainder 0 -1 -2 -3

Difference -1 -1 -1

linear sequence with nth term -n+1

so nth term of quadratic sequence in 3n^2-n+1

if you roll a six sided die ten times, whats P(x>3)

Answers

Answer:

1 Binomcdf (10,1/6,3)

Step-by-step explanation:

The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?

A) Angle 1 and angle 4

B) Angle 5 and angle 4

C) Angle 6 and angle 4

D) Angle 8 and angle 4

Answers

Answer:

b.angle 5 and angle 4

Step-by-step explanation:

b.angle 5 and angle 4

Answer:

Step-by-step explanation:

HELP PLEASE! Write a quadratic function that passes through the point (-1,9), has an axis of symmetry of x=-3 and a minimum value of 7.

Answers

Answer:

[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]

Step-by-step explanation:

Vertex Form of a quadratic equation;

[tex]y = a( x - h )^{2} + k[/tex]

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

[tex]y = a ( x + 3 ) ^{2} + 7[/tex]

Now substitute in the given point; ( -1, 9) and solve for a;

[tex]9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7 -7\\2 = 4a\\\frac{1}{2} = a\\[/tex]

Hence the equation in vertex form is;

[tex]y = \frac{1}{2}(x - 3)^{2} + 7[/tex]

In standard form it is;

[tex]y = \frac{1}{2}x^{2} - 3x + 11.5[/tex]

A food store makes a 11-lb mixture of oatmeal, crispies, and chocolate chips. The cost of oatmeal is $1.50 per pound, crispies cost $2.00 per pound, and chocolate chips cost $1.00 per pound. The mixture calls for twice as much oatmeal as crispies. The total cost of the mixture is $17.00. How much of each ingredient did the store use?

Answers

Answer:

6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.

Step-by-step explanation:

Let,

x be the pounds of oatmeal used

y be the pounds of crispies used

z be the pounds of chocolate

According to given statement;

1.50x+2.00y+1.00z = 17.00     Eqn 1

x+y+z = 11      Eqn 2

x = 2y   Eqn 3

Putting x=2y in Eqn 2

2y+y+z = 11

3y+z = 11     Eqn 4

From Eqn 4

z = 11 - 3y    Eqn 5

Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1

1.50(2y) + 2.00y + 1(11-3y) = 17.00

3y+2y+11-3y=17

[tex]2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3[/tex]

Putting y = 3 in Eqn 3

x= 2(3)

x= 6

Putting in Eqn 2

6 + 3 + z = 11

z = 11-9

z= 2

Hence,

6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.

Evaluate the expression.

(−6)(0) − 6 =

Answers

Answer:

-6

Step-by-step explanation:

(-6)(0)-6=-6

I hope this helps you


Please help due in 10 minutes

Answers

Answer:

One solution

Step-by-step explanation:

maybe

Answer:

There is only one solution to the equation.

x = 0

Step-by-step explanation:

Let rewrite the following equation so that x will be separated from the other numbers. So we do the following......

[tex]\frac{x+4}{4} = \frac{x +3}{3}[/tex]

[tex]12(\frac{x+4}{4}) = 12(\frac{x +3}{3})[/tex]

[tex]3(x +4) = 4(x+3)[/tex]

[tex]3x +12 = 4x +12[/tex]

[tex]12 = 4x - 3x +12[/tex]

[tex]0 = x[/tex]

5x 2 - 8+ 4SOMEONE HELP PLS AND THANK U:)!!

Answers

5x2-8+4

10-8+4
10-12
-2

If you are good at number lines, pls help me!

Answers

The correct number line is B

Anjali’s school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 18 total tickets for $98. Each adult ticket is $14 and each child ticket $3. How many of each type of ticket were sold?

Answers

Answer:

adult-5 student-5

Step-by-step explanation: 98 divided by 18= 5. 5 times 14 = 70. 5 times 3= 15. 70+15=98.

Answer:

adult ticket:4

child ticket:14

Step-by-step explanation:

(98-18*3)/(14-3)=4

18-4=14

PLS PLS PLS PLS HELP ASAP!! WILL MARK BRAINLIEST!
1. The list of ordered pairs represents a function: (12,6) (3,1) (2,-2) (5,10) (-8,-4) ( _, _)
Which of the following could be the missing ordered pair?
A. (2,1)
B. (12,7)
C. (-8,8)
D. (-3,-4)

2. Rita works at a gym where she gets paid $450 each week plus $15.50 for any new gym membership she sells. If y represents the total pay per week and x represents the number of new memberships sold, which of the following equations represents a higher rate per membership sold.
A. y =31/3x + 500
B. y =15x + 425
C. y =33/2x + 425
D. y =15.05x +475

Answers

Answer:

1. D

2. y = 15.50x + 450

Step-by-step explanation:

1. Since it is a function, the missing pair can't repeat input values with different output, therefore only option D is unique so is the correct choice.

2. x  > (y - 450)/ 15.50

i) Rita gets paid $450 per week.

ii) She gets $15.50 for every new membership she sells.

iii) let y represent the total pay per week.

iv) let x represent the number of new memberships sold.

v) the equation representing total pay is y = 15.50x + 450.

vii) therefore the equation that represents a higher rate of membership sold is given by  x  > (y - 450)/ 15.50

Write the equation for the line that has a slope of 2 and passes through the point (5,4).
plssss show your work plssss thx

Answers

we can plug this into the equation of y=mx+b to get

4=2(5)+b

4=10+b
-10 -10

-6=b


y=2x-6

Triangle T is translated to Triangle T What is the translation from T to T'? у T T A 3 units left B 3 units right c5 units left 05 PLEASEEEE HELP ME OUT​

Answers

Answer:

5 units to the right!

It would take 3 unites to the right to get the 0 and then 2 more units to the right to get to 2, so that means 5 units in total to the right.

Fill in the blanks with '<'or'>?.
(a) 0.4 m
0.6 m
(b) 0°C
-4°C
(c) -2 °C
-2.5 °C

Answers

Answer:

See below.

Step-by-step explanation:

(a) 0.4 m < 0.6m

(b) 0°C > -4°C

(c) -2°C > -2.5°C

The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)

Answers

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

Solution:

Ladder makes a right angle triangle with wall and ground.

We have,

Length of ladder (hypotenuse)= 40 foot

Base = 8 foot

We need to find the perpendicular to get the height of the ladder on the wall.

Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

[tex](40)^2=(8)^2+(h)^2[/tex]

[tex]1600=64+h^2[/tex]

[tex]1600-64=h^2[/tex]

[tex]1536=h^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{1536}=h[/tex]

[tex]\pm 39.1918358=h[/tex]

Height cannot be negative. Round to the nearest foot.

[tex]h\approx 39[/tex]

Therefore, the height of the ladder on the wall is 39 foot.

Maya is going to watch a movie in her collection. She has 3 action movies, 11 comedies, and 9 dramas. She will randomly select one movie. What is the probability that the movie she selects is not a comedy?

Answers

Answer:

The probability is 12/23

Step-by-step explanation:

We calculate the number of movies in her selection

Mathematically, that will be;

3 + 11 + 9 = 23

The number of movies that are not comedy will be;

3 + 9 = 12

So the probability of selecting a movie that is not comedy will be 12/23

Other Questions
Khan Academy PLEASE SOMEONE HELP FASTTT!!!! How might an even like an earthquake or a hurricane cause migration of people in other animals? plz answer this question Which statements describe density? Check all that apply. A. Density is a chemical property of an object. B. The density of an object is constant. C. Density is a derived unit of measure. D. Density is the sum of the mass and volume of an object. E. The density of an object determines whether it will sink or float. I will be marking you brainiest and give you 5 stars if you can answer this math question.Christy is packing for her familys vacation. She has 5 tops, 3 bottoms, and 2 pairs of shoes. Assuming she wears a top, a bottomless and a pair of shoes with each outfit, how many possible combinations can she make? Is this correct?:'( if nothing is faster than the speed of the light how did the dark get there first?? i WILL give brainiest PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!Solve the equation9(k - 2) = -6what is k? If the graph of f(x)= 3^x is reflected over the x-axis, what is the equation of the new graph? 10=2x-20 solve for x Can someone who can draw redraw the characters I made Queen Shawn her wife Queen Lyra Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each 3 student, one at a time, for 7 of an hour, how many students does she tutor? 681224 Complete each sentence with the correct Reflexive Pronoun: Translate the sentences. 1. Yo ______________ despierto a las seis. _______________________________________________. 2. Lydia y Jordan siempre ______________ levantan temprano. ______________________________________________. 3. A que hora ________________ acuestan Ustedes? _______________________________________________. 4. Kadence y yo ______________ vestimos antes de salir. _______________________________________________. 5. Cuando ________________ bao usted? _______________________________________________. 6. Tu ________________ lavas las manos antes de comer. ______________________________________________. 7. Elizabeth _____________ peina tres veces al da. ______________________________________________. 8. Nosotros _____________ cepillamos el pelo todas las noches. ______________________________________________. 9. Mi papa ___________ afeita en la maana. 10. El ____________ acuesta a las once de la tarde. ______________________________________________. Complete the sentences with the correct form of the Reflexive Pronoun and the verb: Translate the sentences. 1. Yo _____________ ___________ temprano. ( acostarse) ________________________________________________. 2. Matthew ____________ ____________ con agua fra. ( Baarse) ________________________________________________. 3. Tu ___________ ______________ cuando estas cansado. ( sentarse) _______________________________________________. 4. Katina __________ ___________ antes de ir a la fiesta. ( peinarse) _______________________________________________. 5. Los nios ___________ _____________ despus de mirar la televisin. ( dormirse) _______________________________________________ 6. Usted ___________ ______________ el suter que compro. (Ponerse) ________________________________________________. 7. Jonathan y yo ____________ _____________ tarde los domingos. ( despertarse) _______________________________________________. 8. Ustedes ___________ ______________ rpido. ( vestirse). ________________________________________________. 9. Yo _____________ _____________ los zapatos cuando llego a casa. ( quitarse) _________________________________________________. 10. Mis hermanos ____________ ____________ dos veces al da. ( afeitarse). ___________________________________________________. Will mark brainliest There are 16 cats and 14 dogs in a local animal shelter.Which phrase describes a ratio relationship between the two quantities?A. the number of dogs in the shelter compared to the number of cats in the shelterB. the number of cats in the shelter compared to the number of cats in the shelterC. the number of cats in the shelter compared to the number of dogs in the neighborhoodD. the number of dogs in the shelter compared to the number of rabbits in the shelter What is the distance from 8 to 4 on a number line? The ancient Indians can boast of few significant achievements.Please select the best answer from the choices providedTF Noah drew 9 hearts, 6 stars, and 12 circles. What is the ratio of circles to hearts A miracle play acts out stories from the Bible.OTrueO False answer it please. brainliest if correct are the two triangles congruent ? A. yes B. no c . there not enough information to say