How do I prove ABCD to be a rectangle

How Do I Prove ABCD To Be A Rectangle

Answers

Answer 1

Answer:

steps below

Step-by-step explanation:

AB = DC, AE=DE, ∠BAE = ∠CDE = 90°

ΔBAE ≅ ΔCDE   (SAS)

BE = CE   .. corresponding sides of congruent triangles

∠EBC = ∠ECB  ... base angles of isosceles triangle

∠ABC = ∠ABE + ∠EBC = ∠DCE + ∠ECB = ∠DCB

∠ABC + ∠DCB = 360° - ∠CDE - ∠BAE = 360° - 180° = 180°

∠ABC = ∠ DCB = 1/2 * 180° = 90°

∴ ABCD is rectangle


Related Questions

My little sister need help with this problem. Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rearranged them into 6 rows of 7 blocks. What two other factor pairs could Annabelle use to help her rearrange the blocks again?
Explain your answer using complete sentences.

Answers

Annabelle could arrange her blocks in one row of 42 building blocks as 1 times 42 = 42.

She could also arrange her blocks in 2 rows of 21 blocks because 2 times 21 is also 42.

Answer:

21 rows and two Blocks

1 row 42 Blocks

Step-by-step explanation:

Number of blocks with Annabelle = 42

First arrangement = 3 rows 14 blocks

Second arrangement = 6 rows 7 blocks

Solution

The other two factor pairs that could be used to rearrange the blocks again?

Solution:

Here, we will have to find the factor pairs of total number of blocks present with Annabelle.

i.e. 42

First of all, let us have a look at the factor pairs of 42.

Therefore, the other two factor pairs can be 2, 21 and 1, 42.

The other two possible factor pairs are:

21 rows 2 blocks

1 row 42 blocks

352 base 8 to base 10​

Answers

352₈ = 3•8² + 5•8¹ + 2•8⁰

352₈ = 3•64 + 5•8 + 2•1

352₈ = 192 + 40 + 2

352₈ = 234

Please answer
It’s Pythagoras btw
ASAP

Answers

Answer:

X=11.979425

Step-by-step explanation:

Divide 7.3 and 5.5 which gives you 1.327272… Then, divide 15.9 by 1.3272727

A box of donuts contains 12 donuts how many donuts would be in three boxes

Answers

Answer:

36 donuts

12*3=36

Step-by-step explanation:

Hope this helps! Plz give brainliest!

Answer:36 donuts for 3 boxes

Step-by-step explanation:

1 box-12 donuts

1 box-12 donuts

1 box-12 donuts

12+12+12= 36

640divided by 90 and 150 divided by 50

Answers

Answer:

1: 7.1

2: 3

Step-by-step explanation:

Report if wrong

-Atlas-

Answer:

640 ÷ 90 = 7. ¯ 1

150 ÷ 50 = 3

Can someone help please? Problem in picture

Answers

Answer:

I don't understand what you are asking

Step-by-step explanation:

<3

what is x(14+2)5 please help me​

Answers

Answer: 80x

Step-by-step explanation:

1. add the numbers 14+2=16 (=x(16)(5)_)

2. Multiply the numbers 16(5) = 80 (=X(80) = 80X)

write a subtraction sentence where the difference is negative use a positive and negative integer ​

Answers

Answer:

Examples:

-5 - 2

-4 - 1

-8 - 6

Basically, the negative integer should be first with the higher greater absolute value.

Step-by-step explanation:

Answer:

-7-(-6)

Step-by-step explanation:

=-1.

it contains a positive and negative integer

Hiya! I need help i bet it says im in high school but im in middle school can you tell me what percent of 25 is 20 in middle school

Answers

Answer:

25 percent of 20 is 5 percent

Answer:

Step-by-step explanation:

percentage:

80%

messed up saying it was 125% so say thanks to the person who commented below mine-

3 t-shirts cost £25.95.
How much do 10 t-shirts cost?

Answers

Answer:

£86.50

Step-by-step explanation:

To find how much 10 t-shirts cost we have to find how much they cost individually.

3 T- Shirts / 25.95 = 8.65 which means that each T-Shirt Costs 8.65.

8.65 x 10 T-Shirts = £86.50

Put the following equation of a line into slope-intercept form, simplifying all fractions.
2
x
+
6
y
=
2x+6y=


12
12

Answers

Answer:

[tex] \sqrt[6]{ 729} [/tex]

help me or no branlest​

Answers

Answer:

48 * 70% or use 48 * 0.7


convert the following measurements into
the indicated units

1.) 100 m^2

– as ft^2


2.) 2 km _____ ft

3.)2,057 grams - as kg


4.) 1.25 × 10-7 meters - as µm


5.) 6.58 × 104 meters - as km


6.) 2.78 × 10-1 grams - as mg

Answers

Answer:

1) 1076.4ft^2

2). 6561.68ft

3). 2.057kg

4). 1.25×10^-1

5). 6.58×10^1km

6). 278mg

__% of 4 is 7
hellpp

Answers

Answer:

175 %

Step-by-step explanation:

x % of 4 = 7

[tex]\dfrac{x}{100}*4 = 7\\\\\\x = 7*\dfrac{100}{4}\\\\x = 7*25\\\\x = 175[/tex]

Find the base of
4+6 = 20​

Answers

Answer:

So in base 5, 4+6 = 20

Step-by-step explanation:

how many miles did Candice bike on her route?

Answers

Answer:

200miles per hour andv50 9

pls Round 2.382 to the nearest hundred

Answers

If 2.383 is rounded to the nearest hundred the answer is 2.38

[tex]\huge\bold\blue{2.38}[/tex]

Explanation:

2 - ones

. - decimal point

3 - tenths

8 - hundredths

2 - thousandths

8 is the digit in the hundredths place

look at the number on its right (which is 2)

if: < 5, just copy the number until the nearest hundredths.

if: > or = 5, add 1 to the hundredths then copy the number until the nearest hundredths

If one team had 7 players, how many players did the other team have

Answers

7 I think don’t quote me on it

Answer:7

Step-by-step explanation:because each team has to be equal

Find the equation of the line that is perpendicular to 3y + x = -2 and passes through
the point (-2,-5).

Answers

Answer:

y=3x+1 or 3x-y=-1

Step-by-step explanation:

Hello,

We are given the line 3y+x=-2, and we want to write an equation of the line that is perpendicular to 3y+x=-2, and contains the point (-2, -5)

First, we'll need to find the slope of 3y+x=-2, as perpendicular lines have slopes that multiply to -1

In order to find the slope of 3y+x=-2, let's convert the equation of the line from standard form to slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

y is isolated by itself in slope-intercept form, so let's subtract x from both sides of the equation

3y=-x-2

Now divide both sides by 3

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

The slope of the line is -1/3

Now to find the slope of the line perpendicular to it, use this formula:

-1/3m=-1

Multiply both sides by -3

m=3

So the slope of the line perpendicular to it is 3

We can write the equation of this new line in slope-intercept form; substitute 3 as m in y=mx+b:

y=3x+b

Now we need to find b

As the equation passes through the point (-2, -5), we can use its values to help solve for b

Substitute -2 as x and -5 as y:

-5=3(-2)+b

Multiply

-5=-6+b

Add 6 to both sides

1=b

Substitute 1 as b:

y=3x+1

The equation can be left as this, or we can write it in standard form, if you wish

In standard form, x and y are on the same side; so we'll subtract 3x from both sides in order to have both variables on the same side

-3x+y=1

However, a (the coefficient in front of x) cannot be negative; so we'll multiply both sides by -1 to change the sign of the variable.

3x-y=-1

Hope this helps!

How many different 5-digit PIN codes are there that only include the digits 6, 2, 5, 4, 8 and 7?

Answers

Answer:

First, there are NO 5-digit pin codes that include the digits 7, 2, 4, 6, 9, and 3. But, there are 720 pin codes that include 5 out of the 6 digits.

the length of a rectangle is 5 less than 2 times its width, if the perimeter is 86ft, what is the length and width of the rectangle. Write and solve the equation

Answers

Answer:

Width: 16

Length: 27

Step-by-step explanation:

Let x be the width of the rectangle.

The length would then be 2x - 5

The perimeter is:

2x - 5 + x + 2x - 5 + x =

6x - 10 = 86

Solve.

6x = 96

x = 16

Thus,

Width: 16

Length: 27

I need the answer can you help me

Answers

I cannot see what you posted

whats 50 times 100 the answer

Answers

Answer: 50 * 100 = 5000

Step-by-step explanation:

a simple way of multiplying numbers that are a 1 with zeros is by simply moving the zeros from that number to the other number

100 has 2 zeros, so you ad them to the 50. 50 with 00 is 5000

Answer: 5O x IOO = 5OOO

Step-by-step explanation:

5OOO, think of it like 5 x 1, 5 x 1 = 5, now add 3 zero’s since there are 3 zeros.

PLEASE HELP! I WILL GIVE BRAINLIEST <3

A regulation football field is 300 feet by 160
feet, with 30 foot end zones at either end of
the longer side. What is the distance from the
back corner of one end zone to the opposite
front corner of the other, as denoted by the
dashed line in the picture to the left?

Answers

Answer:

10 <3

Step-by-step explanation:

Answer:

340ft

Step-by-step explanation:

So this is just the Pythagoren Theorem. a^2+b^2=c^2

340ft

Pleaseeeeee solveee 25 points pleaze help geometry

Answers

Answer:

(-3/2, 6)

Step-by-step explanation:

(-3,8) (6,-4)

As we move along the line segment with endpoints (-3,8) and (6,-4) from  (-3,8) to (6,-4) x increases by 9 units (from -3 to 6) and y decreases by -12 units (from 8 to -4).

for ratio of 1:5

Since 1+5=6, the point we are looking for is 1/6 of the way from (-3,8) to (6,-4).  

So, the desired point is

(-3 + (1/6)(9), 8 - (1/6)(12) )

= (-3 + 3/2 , 8 - 2)

= ( (-6 + 3)/2, 6)

= (-3/2, 6)

for map reference see the image below

Graph the equation shown below by transforming the given graph of the parent
function.
y = 4 x 2^-x

Answers

Answer:

|x| Start Over 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4…

Step-by-step explanation:

❗❗ANSWER+EXPLANATION=100POINTS+BRAINLIEST♡❗❗

(Question in the pic)

thanks <3​

Answers

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

On a sunny day Josée's shadow
is 2.9 m long, while the shadow
of a tower is 11.3 m long. If
Josée is 1.8 m tall, calculate
the height of the tower.

Answers

Answer:

sorry I don't know the answer to this question

Sarasota 48 pounds of chocolate for a school fundraiser how many ounces of Candy did Sarah sale

Answers

Answer:

can you be more clear like add a photo?

Step-by-step explanation:

We need to convert 48lbs to ounces

1lbs=16ounces

[tex]\\ \tt\hookrightarrow 48lbs[/tex]

[tex]\\ \tt\hookrightarrow 48(16)[/tex]

[tex]\\ \tt\hookrightarrow 768ounces[/tex]

32424968648936498469 x 23424 -4242784242 +2264724

Answers

Answer:

7.59522466e23 googl says

Step-by-step explanation:

Answer:

7.5952247e+23

Step-by-step explanation:

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