In the given figure, the area of △ADE is 16 units. What is the area of △ABC?

In The Given Figure, The Area Of ADE Is 16 Units. What Is The Area Of ABC?

Answers

Answer 1

Answer:

(i) Triangle ABC and triangle ADE are similar triangles. Hence, their ratios will be same.

Ratio of DE to BC is 4:6 => 2:3

To find area, we need to raise the ratio of length to power 2

(2/3)² = 16/x

4/9 = 16/x

x = (16*9)/4

x = 36cm²

Therefore, area of triangle ABC is 36cm²

(ii) Ratio of DE to BC is 4:8 => 1:2

(1/2)² = 25/x

1/4 = 25/x

x = 25*4

x = 100cm²

Therefore, area of triangle ABC is 100cm²

I'm not sure about the third question, sorry

Step-by-step explanation:


Related Questions

3x 1/3 brainliest if answer

Answers

Answer:

what is the question

Step-by-step explanation:

simplified Answer: 10/3

Non simplified :3 1/3

Step-by-step explanation:

Which operation would help solve for y?
3+y = 27
Choose 1 answer:
Adding three to each side

Subtracting three from each side
X

Adding 27 to each side

Subtracting 27 from each side
How to find the correct operation to each side, what is y? Y=

Answers

Answer: Subtract 3 from each side

Step-by-step explanation:

The goal of the problem is to isolate 3 on one side by itself. The only thing standing in our way is that pesky three. In order to get rid of it, and make y have the whole left side to themselves, we have to see what is three doing in the equation. Well, it is a positive three and it is being added to y. So, we want to do the opposite of what it is. Since it is a positive three, we are going to subtract three on both sides. It will zero itself out on the left side and move on over to the right side, giving y the entire left side of the equation.

Given the equation of a regression line is y = 4x-6, what is the best predicted value for y given x=9?

Answers

Answer:

y=30

Step-by-step explanation:

Answer:

y=30

Step-by-step explanation:

y=4x-6

y=4(9)-6

y=36-6

y=30

The area of a circle is increasing at a constant rate of 79 square centimeters per second. At the instant when the radius of the circle is 77 centimeters, what is the rate of change of the radius

Answers

Answer:

0.51cm/s

Step-by-step explanation:

Area of a circle A = πr²

r is the radius

Rate of change of area is expressed as;

dA/dt = dA/dr • dr/dt

dA/dr = 2πr

radius r = 77cm

dA/dt = 79cm²

Get dr/dt

Substitute the given values into the formula

79 = 2π(77)•dr/dt

79 = 154dr/dt

dr/dt = 79/154

dr/dt = 0.51cm/s

Hence the rate of change of the radius is 0.51cm/s

3. Katie Ledecky swims the length of a 50m Olympic size pool in 25 seconds and swims the return trip to the starting position in 26 seconds. What are her average velocities during:

Answers

This question is incomplete, the complete question is;

Katie Ledecky swims the length of a 50m Olympic size pool in 25 seconds and swims the return trip to the starting position in 26 seconds. What are her average velocities during:

a) The first half of the swim?

b) The second half of the swim?

Answer:

a) her average velocities during the first half = 2 m/s

b) her average velocities during the second half = 1.923 m/s

Step-by-step explanation:

Given that;

displacement = 50 m

time taken t = 25 secs

a)

average velocity = displacement / time taken = 50 / 25 = 2 m/s

Therefore her average velocities during the first half = 2 m/s

b)

In the second half;

displacement = 50 m

time taken t = 26 secs

average velocity = displacement / time taken = 50 / 26 = 1.923 m/s

Therefore her average velocities during the second half = 1.923 m/s

Which points are separated by a distance of 4 units?
A. (7.7)
(1,7)
B. (3, 3)
(1,3)
C. (2,4)
(5, 4)
D. (4,2)
(8,2)


PLEASE HELP ME ASAP

Answers

the correct answer is D

NEED HELP ASAP WILL GIVE BRAINLIEST 100pts

Use the right trig notes to complete the following questions. upload your completed task at the bottom of the assignment for extra credit.

Answers

Answer:

What type of math is this?

Step-by-step explanation:

question can u put a picture that looks more clear is blury

2 3/4 ÷ 1 7/8=?
pls help

Answers

Answer:

77/32 or 2 13/32

Step-by-step explanation:

First, convert the mixed numbers into improper fractions, 11/4*7/8

Next, you can just multiply the fractions for your answer!

Hope this helped<3

Please help! I will give branliest to whoever answers first!
Find the equation of the exponential function represented by the table below:

Answers

Answer:

It is halfing each, here is my proof.

Step-by-step explanation:

Half of 0.02 is 0.01 half of that is 0.005 and half of that is 0.0025. This is the cycle, hope it helps! :D

Answer:

y=0.02(5)^x

Step-by-step explanation:

an artist mixes yellow paint with blue paint to make a certain shade of green. the ratio of yellow to blue is 3 to 5. how much yellow paint should the artist mix with 20 ounces of blue paint. write a proportion and solve

Answers

12!!!!!!!!!!!!!!!!!!!!!!?

PLS HELP I I WILL GIVE BRAINLEST




Compound events= _________events

Answers

Answer:

at least two events

Step-by-step explanation:

compound means various.

sooooooooo it would be various!

maria and her friends went for a bike ride the start and the end times are shown below

Answers

Answer:

c

Step-by-step explanation:

Answer:

the answers is 1 hour 23 minutes

Step-by-step explanation:

i need help with this problem

Answers

Answer:

[g+2/3g-1] ÷ [g^2+2g/6g+2]

g+2/3g-1 × 6g+2/g^2+2g

g+2/3g-1 × 2(3g +1)/g(g+2)

1/ 3g-1 × 2(3g+1)/g

2(3g +1)÷ g(3g-1)

6g+2 ÷[3g^2-g]

You may need to use the appropriate appendix table to answer this question. The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions. (a) What is the probability of completing the exam in one hour or less

Answers

Answer:

The probability of completing the exam in one hour or less is 0.0228.

Step-by-step explanation:

Given: Mean = 80

Standard deviation = 10

To find: The probability of completing the exam in one hour or less.

We have, [tex]\mu=80[/tex] and [tex]\sigma=10[/tex].

Now, the z-value is the sample mean decreased by the population mean divided by the standard deviation.

[tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]

⇒[tex]z=\frac{60-80}{10}[/tex]

⇒[tex]z=-2[/tex]

Now, [tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]

⇒[tex]z=\frac{75-80}{10}[/tex]

⇒[tex]z=-0.5[/tex]

Again, [tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]

⇒[tex]z=\frac{90-80}{10}[/tex]

⇒[tex]z=1[/tex]

Using appropriate appendix table, we get [tex]P(z<-2)=0.0228[/tex].

Mikes mother had 10 children 1 2 3 4 5 6 7 8 9 and 10 what number was mike?

Answers

Answer:

8

Step-by-step explanation:

Thanks I was reading it like "what?" lma oo

But thanks Have a good day!!

Line segment EF had endpoints E(5,-1) and F(-3,8). What are the coordinates of the midpoint of EF?

Answers

Answer:

(1, 7/2)

Step-by-step explanation:

the formula for midpoint is  [tex](\frac{X1 + X2}{2}[/tex], [tex]\frac{Y1 + Y2}{2})[/tex]

Use the equation below to find y if m =4 x=5 and b=12 I need help

Answers

Answer:

im sorry but what is the equation. It will have an equation listed below for you to plug in the numbers

Step-by-step explanation:

20 POINTS! Easy math questions, I just don't have time. ASAP PLEASE

Answers

She has $317.57
He fee would be $18

Amanda has four boards that are each 64 inches long. She needs to cut each board into multiple pieces that are each 12 4/5
inches long. How many pieces will she have after she cuts all four boards?

Answers

You need to divide 64 by 12/45.

if it took 10 hours to mow 8 lawns, then at that rate, how many lawns could be mowed in 30 hours?

Answers

Answer:

24 Lawns

Step-by-step explanation: If it took 10 hours to mow 8 lawns, then add 8 to its self 3 times and you get 24.

help!!!!!!!!!!!!!!!!!!!asappppppppppppp

Answers

the answer is 1 and 4

Start by subtracting, so on #1 subtract 5-8, 8-11, 11-14

then go up to x, -2--1, -1-0, 0-1

Answer:

1 and 4

Step-by-step explanation:

I'm not understanding which statement is correct, to me they all look wrong

Answers

Answer:

it is the third option because -3.2 is greater than -5.4

Step-by-step explanation:

The answer is C.
Explanation:
The higher the negative number the lower the value in it so that means that the -5.4 is less than -3.2
I hope that clears this up a little and it’s not as confusing.

IXL AA.3 7th grade! (click photo)

Answers

Answer:

do 84.32 - 12.4

Step-by-step explanation:

simple as that

Answer: 71.92

Step-by-step explanation:

WILL GIVE BRIANLEST IM WATCHING

Answers

Answer:

negative

Step-by-step explanation:

♪\(*^▽^*)/\(*^▽^*)/

The ratio of boys to girls in 9th grade is 4 boys to 5 girls. There are 350 girls.
How many boys are there?
250
300
200
280

Answers

Step-by-step explanation:

The ratio of boys :girls=4:5 so you have 4 boys and 5 girls

Now , you can ,

4/5×350

= 280

280 is the correct answer hope it helps u

Combine Like Terms: 2p + 3p + 7 + 10 + p
HELP

Answers

Answer:

6p + 17

Step-by-step explanation:

Like terms have same variable with same exponent.

2p + 3p + 7 +10 +p = 2p + 3p + p + 7 + 10

                               = 6p + 17

answer:

6p+17

step-by-step explanation:

combine 2p, 3p, p and then seperately combine 7 & 10

A number, n, is added to 12. The sum
is 0. Which must be true about n?
А
n is the reciprocal of 12.
B
n is the opposite of 12.
с
n is equal to 0.
D
n is any negative integer

Answers

Answer:

B- n is the opposite of 12

If a+b=20 and ab=50
Then find the value of a^2+b^2​

Answers

Here,

a+b=20

ab=50

we know that,

[tex]\tt{ (a+b)^2=a^2+b^2+2ab }[/tex] ⠀

According to the question,

[tex]\tt{(20)^2=a^2+b^2+2×50 }[/tex] ⠀

[tex]\tt{ 400=a^2+b^2+100 }[/tex] ⠀

[tex]\tt{ a^2+b^2=400-100 }[/tex] ⠀

[tex]\tt{a^2+b^2=300 }[/tex] ⠀

Answer:

      a² + b² = 300

Step-by-step explanation:

a + b = 20  ; ab = 50

(a +b)² = a²+ b² + 2ab

a² + b² + 2ab = (a + b)²

a² + b² + 2*50 = (20)²

a² + b² + 100 = 400

         a² + b² = 400 - 100

        a² + b² = 300

Help me
It’s timed so please

Answers

the answer is  b..............

Answer:

'b' option is correct

Step-by-step explanation:

Use the formula of  sin^(Ф) + cos^2(Ф) =1

Find the permeter of a quadrilateral with vertices at C (2,4), D(1,1), E(5,0), and F(3,4). Round your answer to the nearest hundredth when necessary.

Answers

Answer:

12.76

Step-by-step explanation:

This is much easier to solve if you draw it out on a graph. The perimeter is the sum of all the sides. I used the Pythagorean theorem to find the hypotenuse.

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]dc = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \\ cf = 1 \\ fe = \sqrt{ {4}^{2} + {2}^{2} } = \sqrt{20} \\ de = \sqrt{ {1}^{2} + {4}^{2} } = \sqrt{17} \\ \sqrt{10} + 1 + \sqrt{20} + \sqrt{17} = 12.76[/tex]

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