ABCD is a parallelogram​.
Given that,
DC = CE
prove that,
area of the ADE triangle is equal to the area of the parallelogram​.


need explanation

plzz help!!
will give the brainliest!!​

ABCD Is A Parallelogram.Given That,DC = CE Prove That,area Of The ADE Triangle Is Equal To The Area Of

Answers

Answer 1

Answer:

Step-by-step explanation:

We khow that ABCD is a parallelogram so its area is the product of the base (DC) and the the height

Let H be the height of the paralellogram and A its area So A= DC*H

ADE is a triangle . Its area is the product of the height and the base(DE) over 2

We notice that the paralellogram and the triangle have both the same height Let S be the area of the triangle S= (DE*H)/2= DE/2 *H = DC *H

So the triangle and the parallelogram have the same area


Related Questions

Naomi fish is 40 millimeters a humid pig is 25 centimeters long how much longer is the humid pig

Answers

Answer:

The humid pig is 210 millimeters longer.

Step-by-step explanation:

Naomi fish= 40 millimeters

Humid pig = 25 centimeters

1 centimeter is equal to 10 millimeters.

Naomi fish - 40 millimeters

Humid pig- 250 millimeters

To find how much lobger the humid pig is subtract 40 from 250.

250-20 = 210

210 millimeters longer.

Answer:

Step-by-step explanation:

we know that

Answers in cm

we know that

Naomi's fish is 40 millimeters long

convert to centimeters

and

her guinea pig is 25 centimeters long

Find the difference

so

The guinea pig  is  much longer than her fish

Answers in mm

we know that

Naomi's fish is 40 millimeters long

and

her guinea pig is 25 centimeters long

convert to millimeters

Find the difference

so

The guinea pig  is  much longer than her fish

please help for math​

Answers

Answer:

2.35 m²

Step-by-step explanation:

Divide the shape into shapes you can calculate the area of: a rectangle with a semi-circle on top, minus a square.

1. Calculate the area of the rectangle. Formula for area of a rectangle is length · width

1 m · 2 m = 2 m²

2. Calculate the area of the semi-circle. Formula for a semi-circle is [tex]\frac{\pi r^{2} }{2}[/tex] (use 3.14 for π) (radius is equal to half the diameter)

3.14(0.5)² = 0.785

0.785 ÷ 2 = 0.3925 m²

3. Combine the total area

2 + 0.3925 = 2.3925

4. Calculate the area of the square that will not be painted. Formula for area of a square is s² (side · side)

0.2² = 0.04 m²

5. Subtract the area of the square from the total area

2.3925 - 0.04 = 2.3525

2.3525 rounds to 2.35 m²

The answer is 2.35m2

the points plotted below are on the graph of a polynomial. How many roots of the polynomial lie between x=-4 and x=3​

Answers

Answer:

1 zero:  Answer C

Step-by-step explanation:

Keep in mind that the polynomial value is zero at any root.  Therefore each point that is a root must lie precisely on the x-axis (where y = 0).  In the graph given there is only one such point  (Answer C)

A rectangular carton has twice the height, one-
third the length, and four times the width of a
second carton. The ratio of the volume of the
first carton to that of the second is

A)16:3
B)3:1
C)8:3
D)3:8​

Answers

8:3 is the correct answer

5*2568?252+2626*25625-26236

Answers

Answer:

if the ? is suppose to be a + then the answer is : 67278106

Step-by-step explanation:

What is a number of subsets for the set which contains the 10 elements.

Answers

Answer:

The number of subsets of a set containing 10 elements is 2^10=1024.

Step-by-step explanation:

What equation could be used to find the missing leg length a in a right triangle with a hypotenuse of 60 and leg length of 51?

Answers

Answer:

Pythagorean Theorem: a² + b² = c² should be used.

Step-by-step explanation:

51² + b² = 60²

b² = 60² - 51²

b = 3√111

b = 31.607

Pythagorean Theorem is used to find any missing side of a right triangle if 2 other sides are present.

Answer:

Pythagoras theorem

EXPLANATION

HYPOTHENUS SQUARE =OPPOSITE SQUARE + ADJACENT SQUARE

i.e 60^2= 51^2+x^2

i.e 3600=2601+x^2

collecting like terms we have

3600-2601=x^2

999=x^2

√999=x

x=31.6

in which number does the digit 5 have a value that is 10 times as great as the digit 5 in the number 4.59?

Answers

Answer:

B) 2775.9

Step-by-step explanation:

The missing options are:

A) 578

B) 2775.9

C) 134.591

D) 31.757

The digit 5 is in the tenths in 4.59. This means that its value is 0.5. A value 10 times greater is 10*0.5 = 5, that is, a 5 in the ones, like in 2775.9.

how would i do number 2?

Answers

Answer:

m=2

Step-by-step explanation:

When you put a number into the inverse of a function (f^-1) you get the original number back.

Ex: f^-1(11) = (11-3)/2 = 4

f(4) = 2×4+3 = 11

So, f(-5)=-2

So, when x is -5,

f(x) = -2

f(x)=m(-5)+8

-2=m(-5) + 8

m=2

If sin(21°) = 0.36, and cosθ = 0.36, what's the measure of ∠θ? ANSWERS: A) m∠θ = 21° B) m∠θ = 0.36° C) m∠θ = 90° D) m∠θ = 69°

Answers

Hey there! :)

Answer:

m∠θ = 69°.

Step-by-step explanation:

If sin (21°) = 0.36 and cos θ = 0.36, the two angles are complementary because the sine and cosine values are equivalent. Therefore:

90 - 21 = 69°.

The correct answer is D) m∠θ = 69°.

What is the slope of the line?

Answers

Answer:

5/3

Step-by-step explanation:

it should be y/x

you can count 5 up and 3 over

Answer:

8/5

Step-by-step explanation:

You can use the formula [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex] with a pair of points [tex](x_{1},y_{1})[/tex][tex](x_{2},y_{2})[/tex]. We can use points (1,4) and (-4,-4). Plugging in the equation we get (4-(-4))/(1-(-4)), which simplifies to 8/5, which is the slope.

URGENT HELP NEEDED! YOU WILL GET BRAINLIEST! Convert to a product: cot(α) - 1

Answers

Answer:

WHAT

Step-by-step explanation:

-((-7) +(4)(-12)+(-3)(11)+(-2))

Answers

Answer:

90

Step-by-step explanation:

-((-7) + 4 × (-12) + (-3) × 11 + (-2))

-(-7 + 4 × (-12) + (-3) × 11 + (-2))

-(-7 - 48 - 33 - 2)

-(-90) → 90

Final Answer - 90

Hope this helped! :)

Answer:

90

Step-by-step explanation:

Recall Order of Operations rules that require that computations inside parentheses must be done first.  Next, multiplication be done before addition or subtraction.  

-((-7) +(4)(-12)+(-3)(11)+(-2))  can be re-written as

-            ((-7) +(4)(-12)+(-3)(11)+(-2)), which in turn becomes:

-( -7 - 48 - 33 - 2 ), or

-( -55 - 35), or

- (-90), or 90

box plots show the data distributions for the number of customers who used a coupon each hour during a two-day sale. Which measure of variability can be compared using the box plots? interquar

Answers

Answer:

A. Interquartile

Step-by-step explanation:

Answer:

A: interquartile range

Step-by-step explanation:

edg2020

I NEED HELP ASAP!!!!! WILL MARK BRAINLIEST!!!!!!

Answers

Answer: 16

Step-by-step explanation:

The 7 and the 9.

Look closely

hi :) how to do question 7 ?

Answers

Answer:

Step-by-step explanation:

We khow that the equation of a circle is written this way :

(x-a)²+(y-b)²=r² where (x,y) are the coordinates of the cercle's points and (a,b) the coordinates of the cercle's center and r the radius .

Our task is to khow the values of a and b :

We khow that the center is lying on the line 3x+2y=16⇒ 2y=-3x+16⇒ y= [tex]\frac{-3}{2}[/tex]x+8  We khow that the points P and Q are two points in the cercle Let Ω be the center of this cercle we can notice that : PΩ AND QΩ are both equal to the radius ⇒ PΩ=QΩ= rSo let's write the expression of this distance using vectors KHOWING THAT Ω(a,b)Vector PΩ(a-4,b-6) and Vector QΩ(a-8,b-2) PΩ=[tex]\sqrt{(a-4)^{2}+(b-6)^{2} }[/tex] and QΩ=[tex]\sqrt{(a-8)^{2}+(b-2)^{2} }[/tex] Let's substitute a by x and b by y PΩ=QΩ we substitute each distance by its expression After simplyfying the expressions we get finally : -12+8x-8y=0 now we have -12x +8x-8y=0 and the line equation 3x+2y-16=0 these are simultanious equations so after solving them we get x=3.8 wich is approximatively 4 and y=2 we substitute a by 4 and y by 2 in PΩ to get the radius we get r = [tex]\sqrt{(4-4)^{2}+(2-6)^{2} }[/tex] = 4 so r²= 16 then the equation is : (x-4)²+(y-2)²=16

PRE CALC, helppp please

Answers

Hey there! :)

Answer:

Choice B.

Step-by-step explanation:

Since h(x) equals (g o f)(x):

f(x) is substituted for x in the equation g(x). We can go through the answer choices and choose the most suitable choice by substitution:

A. f(x) = x, g(x) = x/ x + 1

(g o f)(x) = x / x + 1. This is incorrect.

B. f(x) = x², g(x) = x / x + 1

(g o f)(x) = x² / x² + 1. This matches h(x), so this is correct.

C. f(x) = x + 1, g(x) = 1/x²

(g o f)(x) = 1/(x² + 2x + 1). This is incorrect.

D. f(x) = x + 1, g(x) = x²

(g o f)(x) = x² + 2x + 1. This is incorrect.

Therefore, B is the correct answer.

Determine the measure of obtuse angle A. answers: A) 130° B) 122° C) 58° D) 7°

Answers

Answer:

B) 122 degrees.

Step-by-step explanation:

Consider the kite :- the 2 angles at the tangents are 90 degrees so we have:

9x - 5 + 14x + 24 + 90 + 90 = 360

9x - 5 + 14x + 24  = 180

23x + 19 = 180

23x = 161

x = 7

So the obtuse angle = 14(7) + 24

= 98 + 24

= 122 degrees.

With 98% confidence interval and n = 25. Find left critical value for Zinterval.
0 -2.492
0 -2.05
0 -2.797
-2.326

Answers

Answer:

[tex]\alpha=1-0.98 =0.02[/tex]

And [tex]\alpha/2 0.01[/tex], the degrees of freedom are given by:

[tex] df= n-1= 25-1=14[/tex]

Then the critical value using the t distribution with 24 degrees of freedom is:

[tex] t_{\alpha/2}= \pm 2.492[/tex]

And the best solution would be:

0 -2.492

Step-by-step explanation:

For this problem we know that the sample size is n = 25. The confidence level is 98% or 0.98 then the significance would be:

[tex]\alpha=1-0.98 =0.02[/tex]

And [tex]\alpha/2 0.01[/tex], the degrees of freedom are given by:

[tex] df= n-1= 25-1=14[/tex]

Then the critical value using the t distribution with 24 degrees of freedom is:

[tex] t_{\alpha/2}= \pm 2.492[/tex]

And the best solution would be:

0 -2.492

help please :))))))))​

Answers

Answer: 35/24 is the answer for the first part only.

Use calculator soup on google search to answer the rest.

Step-by-step explanation:

Lewis Hamilton completed the first lap at the Monaco Grand-Prix with an average speed of 125 mi/h. His goal is to complete the first two laps with an average speed of 250 mi/h. How fast (in terms of average speed) should his second lap be?

Answers

Answer:

  infinitely fast

Step-by-step explanation:

To have double the average speed, he must complete the two laps in the same amount of time that he spent completing the first lap. That is, he must complete the second lap in zero time.

Hamilton's average speed for the second lap should be infinite. (He needs to finish it in zero time.)

_____

  speed = distance/time

Multiplying by 2, we get ...

  2×speed = 2×distance/time . . . . . the time hasn't changed

Mathematics IV
Nathan receives $28 each month for his allowance. If each month has approximately 4
weeks in it, how much money does he receive each week?

Answers

Answer:

$7

Step-by-step explanation:

So since he gets $28 in one month and there are 4 weeks in a month, -->

28/4 = 7 so, $7

He receives 7$ a week

Thuy is substituting t = 3 and t = 8 to determine if the two expressions are equivalent.

Answers

Answer:

The expressions are not equivalent.

Step-by-step explanation:

The answers would be 196 and 193 for t = 8

The answers would be 76  and 73 for t = 3

The expression 14s(s - 1) can be used to find
the total number of cards created by the ninth
grade students. Based on the given information,
which of the following statements must be true?
Select all that apply.

Answers

Answer:

B. The variable s represents the number of students in each class.

C. The coefficient 14 represents the number of classes in the 9th grade.

Step-by-step explanation:

The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5  colored ropes the total number of ropes will be 5*5= 25.

In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30

We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.

PLEASE HELP WITH THIS(INORDER FOR ME TO GIVE YOU A BRIANLIST,EXPLAIN HOW U GOT IT)(will give brainlist and thanks)(Find the perimeter)

Answers

Answer:

7x+10 cm

Step-by-step explanation:

To find the perimeter add up all the sides

There are 5 sides

3x+ 5+ 2x+2x+5

Combine like terms

3x+2x+2x   +5+5

7x + 10

The perimeter is 7x+10 cm

which mathematical operation is represented in the phrase "15 more than q"

A) +
B) ×
C) ÷
D) -​

Answers

Answer:

[tex]\boxed{OptionA}[/tex]

Step-by-step explanation:

More than always indicates "ADDITION". So the mathematical operation is "+".

Answer:

A. +

Step-by-step explanation:

The key word in the phrase is "more than"

That signifies an increase of value which is addition's main function

If the number that was represented in the phrase is x, then we could write out an equation

x=q+15

< B is opposite

А. АС
B. AB and BC
C. BC
D. ZC
E. AB
F. ZA

Answers

A. AC because of how it is directly across from the Angle

The angle ∠B is opposite AC in the triangle.

Option A is the correct answer.

We have,

From the triangle,

There are three angles:

∠A, ∠B, and ∠C.

And,

The sides opposite to each angle are:

AC is opposite ∠B

AB is opposite ∠C

BC is opposite ∠A

Thus,

The angle ∠B is opposite AC in the triangle.

Learn more about triangles here:

https://brainly.com/question/25950519

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URGENT !!! f(x) = x^2. what is g(x)?

Answers

Answer:

C

Step-by-step explanation:

Hello

The point (2,1) is on he graph of g

which means that g(2)=1

for A g(2)=2*4=8

for B g(2)=1/(2*2)

for C g(2)=1

for D g(2) =4/2=2

for the correct answer is C

Hope this helps

How did the temperature change if: at first it decreased by 10 % and then decreased by 30% ?

Answers

Answer:

We decreased by 37%

Step-by-step explanation:

Let x be the starting temperature

We decrease by 10 percent which means we are left with 100-10 =90 percent

.90 x

Then we decrease by 30 percent, 100 - 30 = 70

( .90x) * .70

.63x

We  have .63 of the original left or 63%

100 -63 = 37

We decreased by 37%

Answer:

37% and it decreased

Step-by-step explanation:

What is the inverse of the function below?
f(x) =X/3-2
A. f^-1(1x) = 2(x-3)
B. f^-(1x) = 3(x-2)
c. f^-1(x) = 3(x + 2)
D. f^-1(x) = 2(x + 3)

Answers

Answer: C

Step-by-step explanation: With inverse equations, you switch y and x (y=f(x)) and undo/reverse the steps towards x.

1. Multiply by 3

2. Add 2

Equation by itself

0. x

1. 3(x)

2. 3(x+2)

The inverse of the given function is f⁻¹(x) = 3(x + 2).

What is the inverse of a function?

The inverse function of a function f(x) in mathematics is a function that reverses the operation of f(x).

The given function in the question:

f(x) = (x/3) - 2

f(x) + 2 = x/3

x + 2 = f⁻¹(x)/3

f⁻¹(x) = 3(x + 2)

Hence, the inverse of the given function is f⁻¹(x) = 3(x + 2).

Learn more about inverse on:

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