ABCD is a quadrilateral.
AB = CD.
Angle DAB = angle CDA.
Prove that AC = BD.

ABCD Is A Quadrilateral.AB = CD.Angle DAB = Angle CDA.Prove That AC = BD.

Answers

Answer 1

Answer:

Draw the diagonals AC and BD, and observe the two triangles ABD and ACD you created. They have side lenghths AB and CD equal by hypotesis, side lenght AD in common, and the angle inbetween congruent by hypotesis. The two triangles are congruent (albeit mirrored vertically) by SAS. The third sides are then congruent, QED.


Related Questions

line w passes through point (-6,-7) and has a slope 1/2. what is the equation for the line in point-slope form?

Answers

Answer:

y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = [tex]\frac{1}{2}[/tex] and (a, b ) = (- 6, - 7 ) , then

y - (- 7) = [tex]\frac{1}{2}[/tex] (x - (- 6) ) , that is

y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)

4321 base seven+1234 base seven​

Answers

Answer:

Step-by-step explanation:

            4321

             1234

            5555

5555 in base 7 is equal to 2000 in base 10

Answer:

3890

Step-by-step explanation:

1. Break down 4321 and add.

1=1

2=14

3=210

4=2800

3025

2. Break down 1234 and add.

4=4

3=21

2=140

1=700

865

3. Add them together to get 3890

I'm probably wrong but whatever.

( WILL GIVE BRAINLY IF IM ABLE TO) Select the correct answer.
A recipe for a loaf of bread calls for of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?
A.
18
B.
16
C.
15
D.
12
E.
8

Answers

Answer:

Answer d

Step-by-step explanation:

Answer:

12 Loaves of bread :D

Step-by-step explanation:

hope that helped , have a great day !!

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = –16x2 + 119x + 57

Answers

Answer:

7.89 seconds

Step-by-step explanation:

using the quadratic formula (-b+-√(b^2-4ac))/2a

a=-16 b=119 c=57

x=-0.451

and

x=7.889

time cant be negative so use the positive x

Time required for the rocket to hit the ground would be 7.9 s.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given the quadratic equation as;

-16x² + 119x + 57 = 0

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

Here, a = -16, b = 119 and c = 57

b² - 4ac = (119 )² - 4(-16)(57)

= 14161 + 3648

= 17809

So, x = [-(119) ± √17809]/ 16(2)

= (-119 ± 133.4)/32

Therefore, the time is 7.9 s.

Learn more about quadratic equations;

brainly.com/question/17177510

#SPJ2

the sum of three whole numbers in a row is 57. what are the three numbers?

Answers

Answer:

18, 19, 20

Step-by-step explanation:

(n) + (n + 1) + (n + 2) = 57

3n + 3 = 57

3n = 57 - 3 = 54

n = 54/3 = 18

three numbers are 18, 18+1, 18+2

18, 19, 20

Answer:

18,19,20

Step-by-step explanation:

x + (x+1) + (x+2) = 57

x + x + 1 + x + 2 = 57

Combine like terms

3x + 3 = 57

subtract 3 from both sides

3x = 54

divide both sides by 3

x = 18

The answer is 18, 19, 20

Since we know the value of x, we can look at it like this:

x + (x+1) + (x+2) --- > 18 + (18+ 1) + (18+2) --> 18 + 19 + 20

A pizza buffet has prepared 15 pizzas to place on the line at the beginning of lunch at 11:00 a.m. The equation used to describe the total number of pizzas that have been placed out on the buffet line is shown below.


y = 11x + 15


If x represents every 8 minutes after 11:00 a.m, which statement best describes the rate of change in the number of pizzas set out on the buffet?


A.

Every 16 minutes, 11 more pizzas were set out on the buffet.

B.

Every 16 minutes, 22 more pizzas were set out on the buffet.

C.

Every 16 minutes, 32 more pizzas were set out on the buffet.

D.

Every 8 minutes, 21 more pizzas were set out on the buffet.


HELP!!!

Answers

Answer:

B. Every 16 minutes, 22 more pizzas were set out on the buffet.

Step-by-step explanation:

At 11:00 am, x would be equal to 0, and there would be 15 pizzas on the buffet line. Then, every 8 minutes, 11 more pizzas are added to the buffet line. So in 16 minutes, 22 pizzas will be added to the buffet.

[tex]\frac{16}{8} =2\\(11)(2) = 22[/tex]

Find the perimeter of a rectangle whose length is 12 longer than its width
with an area of 45 square feet. To earn 5 points write the mathematical
sentence, the value of Length, width and perimeter

Answers

Answer:

l = 21

w = 9

P = 60

Step-by-step explanation:

l = 12 + w

A = l*w = 45

substitute l = 12 +w

45 = (12 + w) * w

45 = 12w + w^2

w^2 + 12w - 45 = 0

w^2 + 2*6*w +36 = 45 + 36 (added 36 on both sides 6^2)

(w + 6) ^2 = 45+36 = 81

w + 6 = +-9

As width cannot be negative w = 9

so l = 12 + 9

= 21

Perimeter = P = 2 (l + b)

= 2 ( 21 + 9)

= 2 (30)

= 60

Quiz 2
You might need: Calculator
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had
350 pages left to read.
Let y represent the number of pages left to read after a hours.
Complete the equation for the relationship between the number of pages left and number of hours.
y =

Answers

Rate of read=55pages/h

Total pages read after 4h

[tex]\\ \sf\longmapsto 4(55)=220pages[/tex]

Pages left=350

Now

[tex]\\ \sf\longmapsto y=350+220[/tex]

[tex]\\ \sf\longmapsto y=570[/tex]

Answer this problem pls

Answers

Answer:

The measure of the hypotenuse squared is equal to the sum of the side measures squared.

Step-by-step explanation:

I used process of elimination to find the odd one out. All of the other facts are true hence the last one is wrong.

The measure of the hypotenuse squared is equal to the sun of the side measurements squared

The greatest possible number whose digits are all even numbers from 1 to 9

Answers

Answer:

8642

Step-by-step explanation:

Our even numbers from 1-9 are:

2,4,6,8

The largest possible number using the even numbers once is 8642.

Hoped this helped

There
B
Angi
Does
You
950
Diagram NOT
accurately drawn
D
F
550
G
с
* AGC and DEF are parallel lines.
ADB and GE are parallel lines.
BEC is a straight line.
Angle DBE = 95°
Angle CGE = 55°
Work out the size of the angle marked x.
Give reasons for each stage of your working.

Answers

Answer:

30

Step-by-step explanation:

Attached picture...

Answer:

Step-by-step explanation:

In the image below.

I hope I've helped you.

(1.504) (1000) how do i do this?

Answers

The answer is 1504 I did some calculations and got that answer I hope this helps man

Work out the median age !!

Answers

Answer:

B

Step-by-step explanation:

Which expression is undefined?

Answers

Answer:

D

Reasoning:

Anything that is divided by zero is undefined.

After how many seconds does the object hit the
ground?
02
O4
O 8
O 16

Answers

Answer:

this is prolly the easiest 20 points you’ll get

Answer:

3rd option

Step-by-step explanation:

When the object hits the ground the height h(t) = 0 , then

- 16t² + 96t + 256 = 0 ( divide through by - 16 )

t² - 6t - 16 = 0 ← in standard form

(t - 8)(t + 2) = 0 ← in factored form

Equate each factor to zero and solve for t

t - 8 = 0 ⇒ t = 8

t + 2 = 0 ⇒ t = - 2

but t > o , then object takes 8 seconds to hit the ground

Can someone help plz

Answers

Here’s ur help The answer is 571

Write an equation of a line in slope-intercept form with the given slope and y-intercept:

slope: 3/4 ; y-intercept: -8

Answers

Answer:

y=3/4x-8

Step-by-step explanation:

the marked price of a calculator is 1800 the shopkeeper allows 10%discount and still makes 8%profit at what price did the shopkeeper purchase the calculator

Answers

Answer:

multiple 1800 by 10%

1800 ×10%180subtract the selling price from the discount given.1800 -180

Ans: 1,620

multiple 1800 by 8%

1800 × 8%1,656subtract the selling price from the discount given.1800 - 1,656

Ans: 144

subtract the discount of 10% from 8%

1620 -144

Ans:1,476

so therefore the price for the calculator is 1476.

What answer can you get from this problem?

Answers

The answer is $19.80
.08(60)+15

picture included.. math

Answers

Answer:

quotient

example:

in a statement like 35 / 7 = 5 ,

35 is the dividend, 7 is the divisor, and 5 is the quotient

(2y-9x) ^2 please, I am in a crunch ​

Answers

Answer:

www.symbolab.com , its a easy algebra calculator. wish u luck

Step-by-step explanation:

(2y-9x)²
(2y-9)(2y-9)
the equation is ² so break it
into two bracket

4y²-18y -18y+81 multiply it out
=4y² - 36y + 81 (the answer)

I assume this would be the correct answer but you could simplify further

what ratios are equivalent to 4:1

Answers

Answer:

12:3

Step-by-step explanation:

How to Rotate (9,3) clockwise by 90*?

Answers

Answer:

Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M’ (k, -h).

PLEASE HELP!!! (WILL GIVE BRAINLIEST FOR CORRECT ANSWER :)
Evaluate the expression.
−4[−2(7−10)−15]
------------------------
2(−1)
What is the value of the expression?

Enter your answer in the box.

Answers

-180 is the answer
explanation: order of operations

Solve numerator

-4[-2(7-10)-15]-4[-2(-3)-15]-4[6-15]-4[-9]36

Solve denominator

2(-1)=-2

Final answer

36/-2-18

BRAINLIEST, 5 STARS, AND A THANKS FOR WHOEVER HELPS!

Which statement about the answer to this problem is most accurate?
​5\6−3\8=19\24​


The answer 19\24 is reasonable because both fractions are closer to 1\2 than they are to 1, making the difference close to 0.

The answer 19\24 is reasonable because ​5\6​ and 3\8​ are both closer to 1 than to 1\2, making the difference close to 0.

The answer 19\24 is not reasonable because ​5\6​ is closer to 1 than to ​1\2​, and ​3\8​ is close to ​1\2​, making the difference close to 1\2. ​

The answer​ 19\24 ​is not reasonable because ​5\6​ is closer to ​1\2​ than to 1, and ​3\8​ is closer to 0 than to ​1\2, making the difference close to​ ​1\2​.

Answers

Answer:

The answer 19\24 is not reasonable because ​5\6​ is closer to 1 than to ​1\2​, and ​3\8​ is close to ​1\2​, making the difference close to 1\2. ​

Step-by-step explanation:

Answer:

1/2 1 0

Step-by-step explanation:

A teacher distributed 36 pencils evenly among the students in her class. How many students can be in the class?

The number of students can be...

Answers

Answer:

In the class there can be 18/36/12/9/6/4 etc... Students

Answer:

they are 12 in the class 3 for each one of them in twelve places

5 1/2= ? I need help plz

Answers

Answer:

If it's a mixed fraction, it is 11/2 but if it's multiplication, it's 2.5. I don't really know what you mean.

pasagot po please
answer it please​

Answers

Answer:

24 I hope help you yieeeeeee

Answer:

ummmmmmmmmmm itsssssssss

Step-by-step explanation:

The Parks Department is planting trees. Maple treed cost $50 each and oak trees cost $40 each. The tree-planting budget is 1000.

If the Parks Department buys 10 maple trees, how many oak trees can they buy? Round to nearest whole if necessary.​

Answers

Answer:

Step-by-step explanation:

Yall I need help plsssssss help meeeeeee

Answers

Answer:

8. Scalene

9. Isosceles

10. Scalene

plz plzz plz mark as brainliest

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