Given: m∠A = m∠C = 90°
AB ║ DC
Prove: ∆ABD ≅ ∆CDB
40 points

Given: MA = MC = 90 AB DC Prove: ABD CDB40 Points

Answers

Answer 1

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

Answer 2

As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

What are alternate interior angles?

When two parallel lines are intersected by a transversal, alternate external angles are created.

Given that, m∠A = m∠C = 90° and AB║DC.

In triangles ΔABD and ΔCDB,

m∠A = m∠C = 90°

m∠ABD = m∠BDC (Alternate interior angles)

BD = DB (Common side)

Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

Learn more about the alternate interior angles:

https://brainly.com/question/28380652

#SPJ2


Related Questions

Craig has made 60% of 80 free throw attempts this season. How many free throws has he made

Answers

Answer:

Step-by-step explanation:

80*60%= 48 free throws were made

Answer: 48

Step-by-step explanation:

80x 0.01=0.8

0.8x 60=48

How many of you guys think Into The Night by Bath & Body Works is really masculine?​

Answers

Answer:

I think it smells like a grandma but a strong one but it also smells good a little

Step-by-step explanation:

What is 0.74 + (-3/5)

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The answer is 0.14!!!

Answer:

It equals 0.14

Step-by-step explanation:

answer this please ​

Answers

Answer5 times 6=30 divide bc its a triangle the answer is 15

Step-by-step explanation:

Please help me with these 5 questions

Answers

Answer:

4. 85

5. 23.9

The rest are correct

HELP I HAVE TEN MINUTES!!!!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

PLEASE ANSWER!! TIME LIMITED!! Use the gfc and the distributive property to find the expression that is equivalent to 36 + 48

A. 6(6+8)

B. 4(9+12)

C. 12(3+4)

D. 2(18+24)

Answers

C
Explanation: The gfc that can fit into both numbers

Write the inequality for each sentence
The difference of a number and six is no less than 15
25 plus a number is at least 13
g decreased by 25 is at most five

Answers

Answer:

a) The difference of a number and six is no less than 15

x - 6 ≥ 15

b) 25 plus a number is at least 13

25 + x ≥ 13

c) g decreased by 25 is at most five

g - 25 ≤ 5

Step-by-step explanation:

a) The difference of a number and six is no less than 15

Let the number be represented by x

We difference is involved in a mathematics question, it requires the application of Subtraction operation, hence:

x - 6 ≥ 15

b) 25 plus a number is at least 13

Let the unknown number be represented by x

When at least is used in Mathematics, is means greater than or equal to a particular value,

Hence,

25 + x ≥ 13

c) g decreased by 25 is at most five

At most means less than or equal to a particular value, hence:

g - 25 ≤ 5

(17) 60% of what is 24?

Answers

Answer:

Step-by-step explanation:

24*60%= 14.4

Answer:

14.4

Step-by-step explanation

3/5 x 24

3/5 x 24/1

3/5 x 24/1=3x24

                   5 x 1

= 3 x 24

  5 x 1

72

5 x 1

72/5

what you do after that is you divide 72 and 5

72/5 = 14.4

so you answer is 14.4

hope this is right

The cube of a negative number divided by the square of 5 times a number

Answers

Answer:

finding a cube of a negative number will always be negative , just as the cube of a positive number will always be positive

Step-by-step explanation:

find the slope of the line segment that contains the two points. (15, 16) and (-19, -6)

A. 11/17
B. -2/5
C. None of the answers are correct
D. 7/15
E. -1/3

Answers

Answer:

the answer is letter A.

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-6)-16/(-19)-15

m=-22/-34

m=11/17

I don’t understand this please help

Answers

Answer:

2

Step-by-step explanation:

The answer is "The graph is incorrect. He should have shaded ro the right"

Solve the system using substitution. 5x-y=73 and 2y=x

Answers

Answer:

Point form:( [tex]\frac{146}{9} \\\\[/tex], [tex]\frac{73}{9}[/tex])

Equation form: x= [tex]\frac{146}{9}[/tex], y= [tex]\frac{73}{9}[/tex]

Step-by-step explanation:

Plz mark brainliest.

Hurry pleaseeee taking a test Which expression is equivalent to 30°? Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Inverse of sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Answers

Answer:

Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Step-by-step explanation:

According to trigonometry identity;

Cos 30° = √3/2

To get the expression equivalent to 30°, we will take the inverse of both sides as shown;

Cos^-1(cos 30°) = cos^-1(√3/2)

The arccos will cancel out the cos on the left hand side of the equation to have;

30° = cos^-1(√3/2)

Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)

Answer:

the Answer is A

Step-by-step explanation:

Edge 2020

Use the​ slope-intercept form to graph the equation y=3/7x+3

Answers

Answer:

here you go

Step-by-step explanation:

help pls i’ll give out extra points

Answers

Answer:

The answer is similar, AA similar.

Step-by-step explanation:

The triangles are obviously similar; but we only know that because of the two identical angles. (AA)

Please mark Brainliest!

Select the correct answer from each drop-down menu.
(both drop down menues are (1 , 2 )

Answers

Answer:

the answer to graph one is 1 and the second one answer is 2

Step-by-step explanation:

the other guy made it a hassle for no reason

The graph shown in figure 1 is a function, and the graph shown in figure 2 is not a function

What are graphs?

Graphs are the visual way of representing functions and equations

For a graph to represent a function, then the graph of the function must pass the vertical line test

Graph 1 will pass the vertical line test, while graph 2 will not

Hence, the graph shown in figure 1 is a function, and the graph shown in figure 2 is not a function

Read more about functions and relations at:

https://brainly.com/question/10283950

after eating at a restaurant the bill for your table is $62.50. There is a 6% sales tax and you want to leave a tip for 18% based on the pre-tax amount. How much money do you need to cover your final bill?

Answers

Answer:

Step-by-step explanation:

Your bill is $62.50

$62.50 * .06 = $3.75 (this is your sales tax added)

So your total is up to: $66.25

Adding the tip the same way using $66.25 *.18 = $11.93

Tip would be $11.93

Total coming to: $78.17

hope this helps

Answer:

$77.50

Step-by-step explanation:

Tax:

62.50x0.06= 3.75

3.75+62.50= 66.25

Tip:

62.50x0.18= 11.25

Answer:

66.25+11.25= 77.50

five hundred fifty five divided in five

Answers

Answer:

Well I'm not sure if its a joke but here is the answer anyways LOL Its 111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

If you think about it, 5 ÷ 5 = 1

So all the digits are 1

111

(Plus I just used a calculator)

Hope I helped :)

20) Find the measure of each angle
T
4
X
11
B)
4.
951
A)
36
103
C)
36
171
D)
4

Answers

Answer:

Step-by-step explanation:

2 π + ( π - [tex]\frac{\pi }{4}[/tex] ) = [tex]\frac{8\pi +4\pi -\pi }{4}[/tex] = [tex]\frac{11\pi }{4}[/tex]

Luis bought stock at $63.30. The next day, the price increased $12.80. This new price changed by −6 3/4% the following day. What was the final stock price, rounded to the nearest cent? Is your answer reasonable? Complete the explanation.

Answers

hold on gimmie a sec and I’ll get back

solve for w and simplify this fraction 3/2w=-20 ​

Answers

Answer:

4 2/3

Step-by-step explanation:

Answer:

w = -1.3 (.3 repeating)

Step-by-step explanation:

3/2w = -20

3/2w time 2/3 (flip to get rid of fraction)

- 20 time 2/3 (what you do to one side, you must do to the other side)

w = 1.3 (.3 repeating)

1.3 as a fraction is 4/3

Plz help with the math question

Answers

Answer:

the answer is 20

the sum of twice a number and three is 21

Answers

Answer:

9

Step-by-step explanation:

9+9+18

18+3=21

Which equation is represented by the graph below?

Answers

Answer: 2/3 x +6

Step-by-step explanation:

slope is 2/3 and y intercept is 6

Which of the following describe 4/8

Answers

Answer:

4/8 is one half.

Step-by-step explanation:

4/8 -- 4 goes into both the numerator and denominator -- 4 goes into 4 one time and 4 goes into 8 two times.

Therefore, you have 1/2.

Answer:

4/8=.5 or 1/2

Step-by-step explanation:

4/8 can be reduced to 1/2

Tessa invests $5400
$

5400
in a new savings account which earns 5.2%
5.2
%
annual interest, compounded monthly. What will be the value of her investment after 8
8
years? Round to the nearest cent.

Answers

With Unparalleled Trading Conditions, Start Your...

How can ΔABC be mapped to ΔXYZ?

First, translate vertex A to vertex
.

Next,
ΔABC to align the sides and angles.

Answers

Answer:

X

Rotate

Step-by-step explanation:

correct on edge 2020

Answer:

a. x

c. rotate

Step-by-step explanation:

edge2021 :)

Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?

Answers

Answer:

Step-by-step explanation:

Given the profit a club makes after paying for the bank and other costs modeled by the function

p(t) = -16t^2 - 800t - 4000

t is the ticket price

The maximum profit occurs when dp/dx = 0.

dp/dx = -32t-800

since dp/dx

0 = -32t-800

32t = -800

t = -800/32

t = - 25

Hence ticket price gives the maximum profit is $-25

b) to get the maximum profit, substitute t = -25 into the modelled function

p(t) = -16t^2 - 800t - 4000

p(-25) = -16(-25)² - 800(-25)- 4000

p(-25) = -10000+20000-4000

p(-25) = 6000

Hence maximum profit is $6000

c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t

p(t) = -16t^2 - 800t - 4000

5000 = -16t^2 - 800t - 4000

-16t^2 - 800t - 4000 -5000 = 0

16t^2 + 800t + 9000 = 0

Answer:

Step-by-step explanation:

Given the profit a club makes after paying for the bank and other costs modeled by the function

p(t) = -16t^2 - 800t - 4000

t is the ticket price

The maximum profit occurs when dp/dx = 0.

dp/dx = -32t-800

since dp/dx

0 = -32t-800

32t = -800

t = -800/32

t = - 25

Hence ticket price gives the maximum profit is $-25

b) to get the maximum profit, substitute t = -25 into the modelled function

p(t) = -16t^2 - 800t - 4000

p(-25) = -16(-25)² - 800(-25)- 4000

p(-25) = -10000+20000-4000

p(-25) = 6000

Hence maximum profit is $6000

c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t

p(t) = -16t^2 - 800t - 4000

5000 = -16t^2 - 800t - 4000

-16t^2 - 800t - 4000 -5000 = 0

t^2 + 50t + 562.5= 0

Factorize

-50±√2500-4(562.5)/2

t = -50±√2500-2250)/2

t = -50±15.81/2

t = -65.81/2 and -34.19/2

t = -32.91 and -17.09

The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?

Answers

Answer:

$3900.71 is the amount of money subtracted from the next model

51099.29 is the cost of the second model

Step-by-step explanation:

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