Triangles CBA and CED are similar.



AB is parallel to DE.



AB = 9cm, BE = 4.8cm, EC = 6cm and ED = k cm.



Work out the value of k.

Answers

Answer 1

*see attachment below for the figure being referred

Answer:

k = 5cm

Step-by-step explanation:

==>Given:

∆CBA ~ ∆CED

Side lengths of ∆CBA:

BC = BE + EC = 4.8 + 6 = 10.8 cm

AB = 9cm

Side lengths of ∆CED:

EC = 6cm

ED = k

==>Required:

Value of k

==>Solution:

Since ∆CBA ~ ∆CED, the ratio of their corresponding besides would be the same, with same proportion.

Thus,

AB/ED = BC/EC

9/k = 10.8/6

Cross multiply to find the value of k

9 × 6 = 10.8 × k

54 = 10.8 × k

Divide both sides by 10.8

54/10.8 = k

5 = k

k = 5cm

Triangles CBA And CED Are Similar.AB Is Parallel To DE.AB = 9cm, BE = 4.8cm, EC = 6cm And ED = K Cm.Work

Related Questions

what is the area of the obtuse triangle given below

Answers

Answer:

The answer is A

Step-by-step explanation:

The formula used to find the area of a triangle is 1/2base *height

The base is 16 so half of 16 is 8 then multiply it with the height 8 to get 64.

Area of obtuse triangle is 64 sq. units

What is obtuse triangle?

"A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called obtuse-angled triangle or obtuse triangle."

Given

Base of triangle = 16

Height of triangle = 8

Formula to find the area of obtuse triangle

A = [tex]\frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

A = [tex]\frac{1}{2}[/tex] × [tex]16[/tex] × [tex]8[/tex]

A = 8 × 8

A = 64

Hence, Area of obtuse triangle is 64 sq. units

Learn more about obtuse triangle here

https://brainly.com/question/1581660

#SPJ2

The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c=5/9(F-32). Write a compound Inequality to determine the Fahrenheit temperature range at which the antreze protects the car.

Answers

Answer:

I think it's B. 5/9(F -32) < 140

Step-by-step explanation:

in 2 minutes, a conveyor belt moves 500 pounds of recyclable aluminum from the delivery truck to a storage area. a smaller belt moves the same quantity of cans the same distance in 5 minutes. if both belts are used, find how long it takes to move the cans to the storage area.

Answers

answer:

how many can are needed to move?

Step-by-step explanation:

The first step in the process for factoring the trinomial x^2-3x-40 is to

Answers

(x-8)(x+5)

First thing you do is put the X's into the parentheticals because it is x^2 meaning there are 2 factors with x's. Then, you wonder what factors of -40 could add to get -3. In this case, they are -8 and 5. -8 times 5 is -40 and -8 +5 is -3. Then, you just add -8 and 5 beside the x's in the parentheticals.

Answer:

= (x - 8)(x + 5)

If it is an equation which just means it is equal to zero e.g. x^2 - 3x - 40 = 0

then we would continue and write our x values!

So assuming it was an equation here is the rest of the working:

x - 8 = 0        x + 5 = 0

x = 8                    x = -5

x = 8, x = -5  

Hope this helped!

Step-by-step explanation:

Which algebraic expression represents the phrase “ the quotient of negative right and the sum of a number and three”?

Answers

The answer is up down left right down up

Answer:

-8 ÷ (x + 3)

Step-by-step explanation:

So quotient means that you're dividing, so put a ÷

Next, it says the dividend, or the part being divided is -8, so now you have this: -8 ÷

Lastly, it says the divisor, or the part doing the dividing, is a quantity equal to the sum of "some number" (we'll use x) and 3. Since the divisor is one quantity collectively, you have to put it in parentheses.

This gives you: (x + 3)

When you put it all together, you get -8 ÷ (x + 3).

This can also be written as a fraction: -8/x+3.

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

2, 1

Step-by-step explanation:

In the sequence, each number is half of the previous number.

So we would multiply by 1/2 or divide by 2 to find the next number.

We can test this with a few numbers:

64*1/2=32

16*1/2=8

So the first missing number is 1/2 of 4.

1/2*4=2

The second missing number is 1/2 of the first missing number.

1/2*2=1

Answer:

2, 1

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

64, 32, 16, 8, 4,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

64 - first term

32 - second term

64 ? ? = 32

64 ÷ 2 = 32

So, this means the sequence divides by two to get the next term. Therefore, the pattern should be 'divide two' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

64, 32, 16, 8, 4,...

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

So, since 'dividing three' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next two terms.

4 ÷ 2 = 2

2 ÷ 2 = 1

Therefore, the next two terms in the sequence are 2, 1.

I’m stuck on this math problem

Answers

Answer:

C.

Step-by-step explanation:

You can eliminate A and B because they square root graphs. You are left with C and D. C is the correct choice because the graph is being reflected across the x-axis, shown by the negative.

Alternatively you can graph each equation on a graphing calc and choose the best answer.

The mass of a jar is 750g when it is 1/2 filled with orange juice. The same jar has a mass of 625g when it is 1/4 filled with orange juice. A. What is the mass of the jar when it is 3/4 filled with orange juice? B. What is the mass of the jar when it is empty?

Answers

Answer:

1875 g

Step-by-step explanation:

1/4=625g

3/4=x

Then cross multiply

1/4x=625*3/4

1/4x=468.75

Then divide both sides by .25

which is 1,875 grams

Hope it helps a little

1875 grams already said

WILL MARK THE BRAINLEIST ASAPWhat is the result of 36 divided by 9? Use the number line to find the answer. A number line going from 0 to 39. The numbers 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, and 39 are marked on the line. 3 4 6 12

Answers

Answer:

4 is the correct answer

Step-by-step explanation:

Got it 100% correct on Edg

SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.

Answers

Answer: option 3

PLEASE MARK ME AS BRAINLIEST

Answer:

option c  it has rotational symmetry with an angle of rotation 90degree

Step-by-step explanation:

it is a figure shown based on symmetry first 2 option saying a basic answer

and last one is wrong

Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5.1% compounded quarterly. Round your answer to the nearest cent.


a.


$1,125.69


c.


$1,518.85


b.


$1,127.86


d.


$1,508.31





Please select the best answer from the choices provided




A


B


C


D

Answers

Answer:

 $1,127.86

Step-by-step explanation:

Step-by-step explanation:

The amortization formula is ...

 A = Pr/(1 -(1+r)^-n)

where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.

Here, we have P=$16,231, r=0.051/4=0.01275, n=4·4=16.

So, the payment is ...

 A = $16,231·0.01275/(1 -1.01275^-16) = $1,127.86

The quarterly payment amount is $1,127.86.

Click to let others know, how helpful is it

Answer:

Answer is B

Step-by-step explanation:

told me on EDGE

help me solve this please

Answers

Answer:

C: Focus

Step-by-step explanation:

the red dot is the vertex and that's common sense so yeah its focus

Which system of equations is represented in the graph? On a coordinate plane, a horizontal line is at y = negative 2 and another line goes through (0, negative 3) and (6, 0). y = negative 2. x minus 2 y = 6. y = negative 2. x + 2 y = 3. x = negative 2. 2 x minus y = 3. x = negative 2. 2 x + y = negative 3.

Answers

Answer:

(A)y = -2,   x-2y =6.

Step-by-step explanation:

On the graph, we have two lines:

y = -2The line that goes through (0, -3) and (6, 0).

To determine the equation of the second line, we use the slope-intercept form: y=mx+b

Slope, m

[tex]=\dfrac{0-(-3)}{6-0} \\=3\div 6 \\=\dfrac{1}{2}[/tex]

So we have:

[tex]y=\dfrac{1}{2}x+b[/tex]

When x=0, y=-3

[tex]-3=\dfrac{1}{2}(0)+b\\b=-3[/tex]

Therefore, the second equation is:

[tex]y=\dfrac{1}{2}x-3\\$Multiplying all through by 2, we have:\\2y=x-6[/tex]

Rearranging: x-2y=6

The system of equations that is represented in the graph is:

y = -2. x-2y =6.

The correct option is A.

Answer:

A is the answer for edge 2020 please give me brainliest

Step-by-step explanation:

What is the area of the shaded portion of the circle? (16π – 32) in2 (16π – 8) in2 (64π – 32) in2 (64π – 8) in2

Answers

Answer:

(16π - 32) in²

Step-by-step explanation:

In the picture attached, the circle is shown.

Area of one-quarter of circle = 1/4*Area of a circle = 1/4*π*radius² = 1/4*π*8² = 16π in²

Area of the triangle = 1/2*base*height = 1/2*8*8 = 32 in²

Shaded area = Area of one-quarter of circle - Area of the triangle = (16π - 32) in²

Answer:

#1 (16π - 32) in²

Step-by-step explanation:

Hope this helps!

Brainliest if correct pls

Simplify these expressions. a. 13xyz + 9 + 2xyz + 3 b. 6ab + (–2ab) + 4 + 6 c. 3 + 10x + (–2) + (–3x) d. 2x + 3 + x + 10

Answers

Answer:

a) 15xyz +12

b) 4ab +10

c) 7x +1

d) 3x + 13

Step-by-step explanation:

Put the like terms together. Make sure you put the things with higher variable coefficiants first.

Answer:

15[tex]xyz[/tex] + 4[tex]ab[/tex] + [tex]av[/tex] + 3[tex]b[/tex] + 6[tex]c[/tex] + d + 10[tex]x[/tex] + 27

Step-by-step explanation:

Add The Expressions.

A farmer needs to mix 8 ounces of fertilizer for every 10 pounds of soil. How many pounds of fertilizer will the farmer need to make a mix that contains 80 pounds of soil? (Remember- 16 ounces = 1 pound)

Answers

1 pound of fertilizer will do 20 pounds of soils (8 x2= 16 ounces = 1 pound)

80 pounds of soil / 20 pounds of soil = 4 pounds of fertilizer

PLEASE HELP ASAP THANKS!

Answers

Answer:

answer is 8$ have a great day

Step-by-step explanation: BRAINLIEST PLEASE

25% is also known as 1/4 so just multiply the tip by 4 in order to get to the original price

AB = 6 cm, AC = 12 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
C
12 cm
55°
А
D
B 6 cm​

Answers

Answer:

12.7 cm

Step-by-step explanation:

Pythagoras theorem

c²=a²+b²

12²=6²+b²

144=36+b²

minus 36 on both sides

108=b²

then square root on both sides

b=10.4

wait I'm not done

then we use the sin rule which is

sinx=O

--

H

so

sin(55)=10.4 over H

cross multiply

10.4 over sin 55 which equals 12.7

Scientist Asterix uses 19 base number system. Which
one is his largest symbol?
A. I
B. J
C. 9
D. P

Answers

Answer:

A. I

Step-by-step explanation:

first 10 symbols are digits from 0 to 9

then next 9 symbols are alphabets from A to I

so the largest symbol is I

19 base number system has 19 symbols:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, G, H, I

The largest symbol is I

Answer:

                A. I

Help me do these proofs please

Answers

Answer:

prroof plz

Step-by-step explanation:

Please help!!

Find the x.

Answers

Answer:

10

Step-by-step explanation:

1. Write an equation to represent the ratio of the sides to the corresponding sides in the second figure.

6/9 = x/15

6 and x are both numerators because they are corresponding sides and 9 and 15 are both numerators because they are corresponding sides.

2. Solve for x.

multiply both sides by 9

6 = 9x/15

multiply both sides by 15

90 = 9x

solve for x by dividing both sides by 9

x = 10

*sorry if the explanation was confusing but I hope you understand with the equation and numbers

please hhhhhhhheeeeeeeeeellllllllpppppp

Answers

Answer:

mn/100 or 0.01mn

Step-by-step explanation:

m% of n = m/100 × n = mn/100= 0.01mn

Find all the interior angle measures of triangle ABC, if m∠A = 3x + 10, m∠B = 5x − 1, and m∠C = x. answers: m∠A = 60°, m∠B = 94°, m∠C = 26° m∠A = 67°, m∠B = 90°, m∠C = 23° m∠A = 67°, m∠B = 94°, m∠C = 19° m∠A = 67°, m∠B = 92°, m∠C = 21°

Answers

Answer:

Step-by-step explanation:

Total interior angles in a triangle=180 degrees

That is: 3x + 10 + 5x - 1 + x =180

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

Therefore

Angle A =67 degrees

Angle B= 94 degrees

Angle C = 19 degrees

What is the equation of the line?

Answers

Answer:

y = -7

Step-by-step explanation:

As the slope is m = 0, that means there is no slope. All values of x in the domain will always output -7. Therefore, your equation would be y = -7.

Answer:

y = -7

Step-by-step explanation:

Use the formula:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope of the equation is equal to 0.

The y-intercept is at (0, -7)

y = (0)x + -7

y = -7

The equation of the line is y = -7.

Find the slope of the line that passes through (-38, 100) and (-37, 5).

Answers

The slope between two points is:  (change in Y) / (change in X) .

Slope = (-95) / (1)

Slope = -95

Step-by-step explanation:

[tex](-38, 100) and (-37, 5). \\ x1 = - 38 \\ y1 = 100 \\ x2 = - 37 \\ y2 = 5[/tex]

[tex]m \: = \frac{y2 - y1}{x2 - x1} \\ m \: = \frac{5 - 100}{ - 37 - 38} \\ m = \frac{ - 95}{ - 75} [/tex]

[tex]m = \frac{19}{15} [/tex]

What is the value of x when (6x+1)+(2x+10)=79

Answers

Answer:

x=8.5

Step-by-step explanation:

(6x+1)+(2x+10)=79

6x+2x    1+10

8x +11=79

-11        -11

8x=68

÷8   ÷8

x=8.5

Find the area of the dining room in square feet. Round to the nearest square foot. 8’ x 10’ 8”

Answers

Answer:

85

Step-by-step explanation:

8 feet * 10 feet 8 inches.

96 inches * 128 inches = 12288 inches

12288 ÷ 144 = [tex]85\frac{1}{3}[/tex] ≈ 85

Step-by-step explanation:

This is the answer please choose as the best answer

find the axis of symmetry of this parabola y=-x^2-2x-5 write your answer as an equation

Answers

Answer:

axis of symmetry: x=-1

Step-by-step explanation:

PLEASE HELP!! 2b/10−b

Answers

Answer:-1/4b

Step-by-step explanation:

Complete the table of ordered pairs for the given liners equation

Answers

Answer:

Step-by-step explanation:

Given equation of the line is,

y = -x + 1

We will get the output values (y-values) from the given equation for different input values (x-values).

For x = 0,

y = 0 + 1

y = 1

For x = -1,

y = -1 + 1

y = 0

For x = -6,

y = -6 + 1

y = -5

So the table of the ordered pairs will be,

x        0         -1          -6            

y       1           0         -5

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