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:

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Related Questions

In the figure, PR = 15x – 11 and PQ = 3x + 6. Find QR in terms of x.

Answers

Answer: 12x - 17

Step-by-step explanation:

To find QR subtract PQ from PR

15x-11 -(3x+6) ---> 15x - 11 - 3x -6 = 12x -17

make x subject of formula √x+a=b​

Answers

Answer:

After making x the subject of the formula, the formula is:

[tex]x = (b-a)^2[/tex]

Step-by-step explanation:

Given formula is:

[tex]\sqrt{x} +a = b[/tex]

Making a variable subject of a formula or equation means that the variable has to be isolated in the equation to write it in terms of other variables and constants.

So,

In the given formula,

Subtracting a from both sides

[tex]\sqrt{x} +a-a = b-a\\\sqrt{x} = b-a[/tex]

The subject of the formula should not be in radical form.

Taking square on both sides

[tex](\sqrt{x})^2 = (b-a)^2\\x = (b-a)^2[/tex]

After making x the subject of the formula, the formula is:

[tex]x = (b-a)^2[/tex]

Jack has 27 pencils. Shane has 3 more than twice the amount that Jack has. Which equation shows the relationship between the number of pencils Jack (j) has and the number of pencils Shane (s) has?

Answers

Answer:

s=27*2+3

rrefrewhtefghttrfdgh

Find the Valué of X when lines W and V are parallel.



A. 15.5


B. 17


C. 23.25


D. 29.5

Answers

The answer is C. 23.25

2. Mario moved from a city to a small town. The population of the
city is 6 x 105, which is about 15 times larger than the town. Which
expression could represent the approximate population of the small
town?

Answers

Answer:

the answer is 4 x 10^4  or 40,000

Step-by-step

the answer is 40,000 but you need to put it in scientific notation which equals 4 x 10 to the 4th power

4 x 10^4

Help me or give me answer key plz I’m doing Desmos Quadratic Transformations – Part 1 I’m dum

Answers

Answer:

While the slider moves to the right the point change also. You can see that the points will decrease and increase again.

2j+7 how many solutions does this equation have

Answers

none i couldn’t find

Identify each angle as an inscribed angle or a central angle.

Answers

Answer:

∠AFE is an inscribed angle because the vertex lies on the edge of the circle

∠DOB is a central angle because the vertex lies at the center of the circle

∠HJG is an inscribed angle because the vertex lies on the edge of the circle

Can I get help finshing all these qustions 1. -4(6) 2. -21-8) 3. 121-4) 4. -6(5) 5. -10(-9) 6. -(5) 7. (-5) 8. -30(5) 9. 20(-6) 10. -14(-6) 11. (-13)2 12. –7(15) 13. -3(4) 14. 7(-3) 15. 3(-3) 16. -2(-10) 17. (-5)(-3)(4) 18. -3(-3)(4) 19. -3(-5) 20. 5(-3) 21. 7(-5)(4) 22. -2(-5)(-3) 23. – 10(-3) 24. -21-3)

Answers

Answer:

1. -4(6)= -24

2.-21-8= -29

3. 121-4 =117

4. -6(5) =-30

5. -10(-9)= 90

6. (-5)7= -35

7. (-5)8= -40

8. -30(5)= -150

9. 20(-6)= -120

10. -14(6)= -84

11. (-13)2 = -26

12. –7(15) = -105

13. -3(4) = -12

14. 7(-3) = -21

15. 3(-3) = -9

16. -2(-10) = 20

17. (-5)(-3)(4) = 60

18. -3(-3)(4)= 36

19. -3(-5) = 15

20. 5(-3) = -15

21. 7(-5)(4) = -140

22. -2(-5)(-3)= -30

23. – 10(-3)=30

24. -21-3= -24

Explanation:

We have followed the rules in adding and subtracting negative as well as positive values on the number line.

When adding two negative values, the result is a negative value.

When adding a negative and positive value, the result is either a positive or negative value depending on if the negative value is bigger or smaller than the positive value

When multiplying two negative values, the result is a positive value

When multiplying one negative and one positive value, the result is a negative value

To make you understand addition and subtraction of negative and positive numbers better, let us use a simple analogy. Assuming you are owing five oranges(-5) and you are only able to give two oranges(+2), you will still be owing 3 oranges(-3). Assuming also that you are owing 6 oranges(-6) and you are able to give 8 oranges(+8), you would have given excess oranges and would be owed two oranges(+2). Hence the results above.


Which inequality represent the statement: John is at least 5 feet tall.

Answers

Answer:

[tex]h\geq 5 \text{ feet}[/tex]

Step-by-step explanation:

Considering John's height as [tex]h[/tex], saying that his height is at least 5 feet tall, it implies that the lowest height for John is [tex]h=5[/tex]

So, inequality is

[tex]h\geq 5 \text{ feet}[/tex]

Yes sirrrrrrrrrrrrrrrrrrrr

evaluate 60.81 - (-57.6)​

Answers

118.41 that is the answer

Which one is right *Will make BRAINLEST*

Answers

pretty sure it’s the first one

What is the length of BC?
A) 9 units
B) 11 units
C )15 units
D) 16 units

Answers

Answer:it’s a or c

Step-by-step explanation:

Hope this helped have a good day stay safe

Answer:

C. 15 units

Step-by-step explanation:

I'm sorry if this is a late answer but I hope other people can find this helpful :)

Deductive reasoning uses all of the following to draw logical conclusions except:

A.) Rules
B.) Laws
C.) Patterns
D.) Facts

Answers

Answer:

Patterns

Step-by-step explanation:

Deductive reasoning is used to prove conjectures to be true

Answer:

patterns

Step-by-step explanation:

Deductive reasoning is a simple form of arriving at a conclusion by joining two or more pieces of information. Deductive reasoning is used to prove conjectures to be true.

Jack paid off his loan in 10 years. If the amount paid off was $172,598 and annual interest rate was 3.25% compounded monthly. what was the original amount borrowed. Round to whole dollar

Answers

Answer:

$228,692

Step-by-step explanation:

10 years so 3.25% was added 10 times

3.25(10) = 32.5

32.5 + 100 = 132.5

So Jack paid 132.5% of his loan.

x/172,598 = 132.5/100

172598(132.5) =  22,869,235

22,869,235/100 = 228,692.35

Round it to the nearest dollar and you get 228,692

Teresa is making sock puppets just like the one in the photo. If she has 53 buttons and how many puppets can she make?

Answers

Answer:

How much buttons is on it.

Step-by-step explanation:

If three you can make 17 puppets.

What is the value of x in the figure below?





Answers

Answer:

hi I don't know the answer of this question but I hope anyone will answer your this question as fast as possible and iam taking free points because I needed to ask one question from someone that's why I really sorry and thank you so much for free points

Please help me, I really need help

Answers

Answer:

23

Step-by-step explanation:

Answer:

23 games.

Step-by-step explanation:

According to the graph, there are 17 whistles, where each whistle counts as 2 games.

17 * 2 = 34 games in Kylie's first 6 months.

She worked a total of 45 games in the entire year.

45 - 34 = 11 games.

Therefore, Kylie worked 11 games for the rest of the year.

They are asking how many MORE games did she work in the first 6 months than she did during the rest of the year.

34(first 6 months) - 11(rest of the year) = 23 games more.

Which expression have a quotient of -4? Select all that apply.
a. -24/6
b. -36 divided by -9
c. -72 divided by 18
d. 84/-21

Answers

Answer:

B

Step-by-step explanation:

the answers are a and c
-24/6 = -4
-72/18 = -4
(two negatives equals a positive so keep that in mind!)

I need this answer ASAP!!

Answers

Answer:

It is either 7.62m or 10m

Step-by-step explanation:

Eduphoria

Answer:

7.62 m

Step-by-step explanation:

Pythagorean theorem, 3^2+7^2=58

√58 is 7.62

Rhian sat a Maths test and an English test. In the Maths test she scored 14/17. In the English test she scored 31/39

Answers

what is the question?
MATH- 14x100/17= 82.3%
LA- 31x100/39 = 79%

82.3%>79%
She did better in the math class.

WILL’s girls’ basketball team played lost 12 games which is 25% of the games they played for the season. How many games did they play in all?

Answers

Answer: 48 games
Explanation:
If the girls only play 25% in total it would be 12.5 as a decimal


Naomi has earned $63 mowing lawns the past two days. She worked 1 hours yesterday and 3 hours
2
today: If Naomi is paid the same amount for every hour she works, how much does she earn per hour to
mow lawns?
Naomi earns S
per hour

Answers

Answer:

15.75 per hour

Step-by-step explanation:

$63/4 Hours = 15.75

If two sides of a triangle measure 19cm and 34cm, check all possible values for the third side: HELPPPP ASAP!!!!

Answers

Answer: 13, 15, 21, 38, 52

because The total length of two sides of a triangle is always greater than the length of the third side => 34 + 19 > x

⇔ x < 53

=> x ∈ {13; 15; 21; 38; 52}

Step-by-step explanation:

All possible third sides of a triangle are;

⇒ x = 13, 15, 21, 38, 52

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two sides of a triangle are 19 cm and 34 cm.

Now,

Since, The sum of two sides of a triangle is greater than the third side.

Let the third side = x

So, We can formulate;

x < 19 + 34

x < 53

Thus, All possible values of third sides are;

⇒  x = 13, 15, 21, 38, 52

Learn more about the triangle visit:

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Show the check. 3B -12/3B + 12 = -2 + 1B + 6
The solution to this problem is B=4
But I don’t know how to check the answer, please help and explain, PLEASE!

Answers

Answer:

i got 4

Step-by-step explanation:

thats all i could tell u i don't know how to explain it nor check it but i got 4 so thats all i can tell u bestie sorry

URGENT!!! WILL MARK BRAINLIEST!
Find the measure of Angle DBE then find the measure of ∠ABD?

Answers

Answer:

m<DBE =50°

m<ABD=150°

Step-by-step explanation:

Because of Straight Angles, All the angles will add up to 180 degrees

Let x be m<DBE

40+x+70+20=180

x+130=180

x=50

m<DBE will be 50 degrees

To find the m<ABD, we add m<FBA, m<FBE, m<DBE.

70+50+30=150

m<ABD = 150

Answer:

angle DBE=

Step-by-step explanation:

We know that angle ABE is a right angle because 70+20=90. Therefore angle CBE is also a right angle.

Now, 90-40=50 (angle DBE's measure)

Based on this, we can know that 20+70+50=140. Angle ABD is 140 degrees.

HTH :)

Determine the commission earned on $62,000 at a commission rate of 5%.

Answers

A commission of $3100 was earned on $62,000 at a commission rate of 5%.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that $62,000 is earned at a commission rate of 5%, hence:

Commission = 5% of 62000 = 0.05 * 62000 = $3100

A commission of $3100 was earned on $62,000 at a commission rate of 5%.

Find out more on equation at: https://brainly.com/question/2972832

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please help, thanks. hdjsiejebehejsjdhdhdbdbdbdhdhdhhdndbdjdjdjdjdnd sorry have to get 20 characters to ask the question

Answers

Answer:

Angles E and G are CONGRUENT to each other because they are VERTICAL angles

Please show your work for this question

Answers

Answer:

22.4

Step-by-step explanation:

A car is driving down the road and goes 500 miles in 10 hours.

So,

d = 500 miles = 804672 metres

t = 10 hours = 36000 minutes

∴ v = d ÷ t

v = 804672 ÷ 36000

v = 22.352

∴ v = 22.4 m/s

Thus, His Velociy was 22.4 m/s

-TheUnknownScientist

While mining, Nancy found a large metal bar that contained 38 pounds of gold. Nancy also determined that the bar was 95% gold. What was the total weight of the metal bar in pounds?

Answers

Answer:

56%

Step-by-step explanation:

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