Figure ABCD is a parallelogram. Is triangle ADB congruent to triangle CBD? Show or explain your reasoning​

Figure ABCD Is A Parallelogram. Is Triangle ADB Congruent To Triangle CBD? Show Or Explain Your Reasoning

Answers

Answer 1

Answer:

yes it's congruent.

Step-by-step explanation:

in a parellelogram, all sides and angles are equal.

Answer 2

ΔADB is congruent to ΔCBD.

The reasoning is given below.

What is a parallelogram?

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

A parallelogram ABCD.

This means,

AD is parallel to BC

AB is parallel to CD

∠A = ∠C

BD is the diagonal of the parallelogram.

Now,

ΔADB and ΔCBD

AB = CD ( given )

∠A = ∠C (given )

∠ADB = ∠CBD ( given )

∠ABD = ∠BDC ( alternate angles )

ΔADB ≈ ΔCBD

Thus,

ΔADB is congruent to ΔCBD.

Learn more about parallelograms here:

https://brainly.com/question/1563728

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Related Questions

Evaluate the piecewise defined function at the indicated values.
{x² + 4x if x <equal/greater to -1
f(x) = { x if - 1<x< equal/greater to 1
{-1 x > 1
f(-2)=
f(-3/2)=
f(-1) =
f(0) = 0
f(25) =​

Answers

Given:

Consider the piecewise function is

[tex]f(x)=\left \{\begin{matrix}x^2+4x,\text{ if } x\leq -1\\ x, \text{ if }-1<x\leq 1\\-1,\text{ if }x>1\end{Matrix}\right.[/tex]

To find:

The value of the function at indicated values.

Solution:

We know that, [tex]-2,-\dfrac{3}{2},-1[/tex] are less than or equal to -1. So, for these values the function is [tex]f(x)=x^2+4x[/tex].

For x=-2,

[tex]f(-2)=(-2)^2+4(-2)[/tex]

[tex]f(-2)=4-8[/tex]

[tex]f(-2)=-4[/tex]

Similarly,

For [tex]x=-\dfrac{3}{2}[/tex].

[tex]f(-\dfrac{3}{2})=(-\dfrac{3}{2})^2+4(-\dfrac{3}{2})=-\dfrac{15}{4}[/tex]

For [tex]x=-1[/tex].

[tex]f(-1)=(-1)^2+4(-1)=-3[/tex]

We know that, 0 is lies between -1 and 1. So, for this values the function is [tex]f(x)=x[/tex].

For x=0,

[tex]f(0)=0[/tex]

We know that, 25 is greater than 1. So, for this values the function is [tex]f(x)=-1[/tex].

For x=25,

[tex]f(25)=-1[/tex]

Therefore, the required values are, [tex]f(-2)=-4, f(-\dfrac{3}{2})=-\dfrac{15}{4},f(-1)=-3,f(0)=0,f(25)=-1[/tex].

If Vivian rides for 7 hours on a bicycle, what is her rate if she rides 84 miles?

Answers

Answer:

12

Step-by-step explanation:

84/7 is 12, so she was going 12 mph

What is the equation of a line with a
slope of -2 and crosses the vertical axis
at the point (0, 5)?

Answers

Answer:

y=-2x+5

Step-by-step explanation:

the slope is m and the y-intercept is b in the form y=mx+b, and -2 is the slope and 5 is the y-intercept in this equation, so y=-2x+5

Answer:

y=-2x+5

Step-by-step explanation:

y=mx+b

m is the slope which is -2

b is the y intercept which is given in the problem, 5

Convert 66 ft/sec to miles per hour. (1 mi = 5280 ft)
348,480 mi/hr

45 mi/hr

80 mi/hr

288,000 mi/hr

0.75 mi/hr

96.8 mi/hr

Answers

Answer:

45

Step-by-step explanation:

Mrs. Ryan did 121 sit-ups in 8 minutes. Estimate the number of sit-ups she did in 1 minute.

Answers

Answer:

he did 15 sit ups in 1 minute.

Step-by-step explanation:

you divide 121 and 8

Answer:

15 sit-ups per minute

Step-by-step explanation:

121÷8=15.125

15

A marathon runner travels 7/4 of a mile in 1/4 hour. What is the runner's unit rate?

Answers

Answer:

The runner's unit rate is:  7 mph

Step-by-step explanation:

The runner's unit rate is the speed of the runner used to cover a mile in one hour

Given that ;

1/4 hours covers 7/4 miles

so;

1/4 = 7/4

1 =?

Perform cross product as;

(1*7/4) / 1/4

(7/4) / (1/4)

7/4 * 4/1

7 miles/hour

A car manufacturer advertises that its new car model goes from 0 to 80 miles per hour
in 5 seconds based on a test drive. During the first 5 seconds of the test drive, was
the car's speed ever exactly 45 miles per hour?

Answers

Answer: dang you live in moco too

Step-by-step explanation:

Solve for m.
m+9=-2

m=?

Answers

11
subtract 9 to both sides

Answer:

-11

Step-by-step explanation:

Because you just carry the nine over which when you switch it sides it becomes negative so it's -9 + -2 which equals negative 11

John ran 3 miles in 25.2 minutes. The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem?

Answers

Step-by-step explanation:

It is given that,

John ran 3 miles in 25.2 minutes. We can find the speed of john as follows :

Speed = distance/time

v = [tex]\dfrac{3\ \text{miles}}{25.2\ \text{minutes}}=0.1190\ \text{miles/minutes}[/tex]

The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. y is proportional to x with constant of proportionality 8.5.

Velocity of John is 0.1190 miles/minute. We can write it in the form of equation as :

y = 0.1190x

In this problem, the constant of proportionality is 0.1190.

calculate E, the amount of euros that has the same value as D U.S. dollars, using the equation E=17/20D=

Answers

The given equation is:  E=17/20 D  , where  E=amount of Euros and D= amount of U.S dollar.

Now for 1 U.S dollar, we need to plug D=1 into the above equation. So, we will get.........

E=17/20(1)

E=1/20=0.85

0.85 Euros have the same amount as 1 U.S dollar.

HOPE IT HELPS (◕‿◕✿) SMILE!!

Lesley and Enid left their waitress a 15% tip.
The tip was $10.25.
What was their total bill, not including the tip?

Answers

Answer:   $68.37

Hope this helps;)

Answer:

Cost before tip: $68.34

Cost after tip: $78.59

Step-by-step explanation:

Please see attached image. Calculations are executed in black. Answers are highlighted in blue. Solution explanation is provided in red. Implicit/'skip-over' steps are in green.

~~

Hope this helps.

I need help with this please

Answers

Angle 1 and 2 are supplementary angles.

This is ur answer....

Supplementary angle.....

Hello! I need help with my math homework! I need it ASAP.

6x - 3 = -18 + x

Answers

Answer:

x = -3

Step-by-step explanation:

6x - 3 = -18 + x

Subtract x from each side

6x-x - 3 = -18 + x-x

5x -3 = -18

Add 3 to each side

5x-3+3 = -18+3

5x = -15

Divide each side by 5

5x/5 = -15/5

x = -3

What is the equation in standards form of the line y=1/9x+5

Answers

x - 9y = -45 i’m not sure what line ? but this is in standard form

A 300-g package of pepperoni costs $4.29.

a) What is the cost per 100 g?

b) How much would 1 kg cost?

c) How much pepperoni could you buy with $20?

Answers

Answer:

a. $1.43 per 100 gram

b. $10.43 for a kilogram (1000 grams)

c. 1 kilogram and 398 grams, or 1398 grams

Step-by-step explanation:

• Earth: $$ kilograms
• Sun: $$ kilograms

How many Earths weigh about as much as the Sun?

Use scientific notation.

Answers

The answer should be b

Which transformation will create a similar and a congruent triangle?
Rotation
Reflection
Dilation
Translation

Answers

I believe it’s translation

Which of the following expressions is equivalent to 30 + 40?

A. 5(25 + 35)


B. 10(3 + 4)


C. 15(2 + 3)


D. 5(6 + 8)

Answers

The answer is B 10(3+4) since 10 times 3 is 30 and 10 times 4 is 40 and this is 30+40

Answer:D. 5(6+8)

Step-by-step explanation:First you need to distribute. Multiply 5 by both numbers inside parentheses. 5x6=30 and 5x8=40. This gives you 30+40

some number is added to itself the result is multiplied by eight is four what is that number​

Answers

Answer:

X=1/4

Step-by-step explanation:

(x+x)*8=4

(2x)*8=4

16x=4

X=4/16=1/4

Answer:

0.25

Step-by-step explanation:

First...

Assume that the number is x and make an equation.

(x + x) 8 = 4

Next...

Add.

(2x) 8 = 4

After that...

Divide.

2x = 4/8 so 2x = 1/2

Finally...

Divide more

x = 1/4 or 0.25

So your answer is 0.25.

I did double-check.

Hey what’s 20 times 20 minus 58 divided by 6? -3-

Answers

Answer:

390

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

20*20=400

400-58=342

342/6=57

PLZZZ HELPP anyonee plzzzz

Answers

Answer:

The correct answer is B

Step-by-step explanation:

its is B because when dividing fractions the division symbol changes into a multiplication sign and the fraction on the right flips

High Hopes^^

Barry-

The first one 3/7 x 4/5

What is the product of 4x - 1 and 3x + 5?

Answers

Answer:

the right answer is 7x+4

The product of the expression would be 7x+4

como podria saber la cantidad de cuadros de la bandera de wiphola sin contar​

Answers

Answer: If you mean a translation, it is How could I know the number of squares of the wiphala flag without counting.

The wiphala flag has 49 squares.

Step-by-step explanation:

Simplify the following expression:
-9(14p - 8) - 4p

Answers

Step-by-step explanation:

-126p + 72 - 4p

-130p + 72

Solve for n. 170-4n=120

Answers

Answer:

n = 12.5 or 25/2

Step-by-step explanation:

170-4n = 120

1. Subtract 170 from both sides to isolate -4n.

-4n = -50

2. Divide both sides by -4 to isolate the n.

n = 12.5 or 25/2

Hope this helped!

Answer:

12.5

Step-by-step explanation:

170 - 4n = 120

-170          -170

-4n         = -50

4n         =  50

  n         = 12.5

Find the value of x in each of the following
a) 2x/3= 8
b) 3x/2=6​

Answers

Answer:

A) X = 12

B) X = 4

Step-by-step explanation:

For both equations, the first step is the same. You must isolate x.

A) 2x/3 = 8

Multiply each side by 3 to get rid of the fraction.

2x = 24

Divide by 2.

x = 12

B) 3x/2 = 6

Multiply each side by 2 to get rid of the fraction.

3x = 12

Divide by 3.

x = 4

There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to rent a truck.

Answers

Answer:

The total would be $88

Step-by-step explanation:

First multiply $0.50 and 48 miles

$0.50x48=$24.00

Then add $24.00 and $64.00

$24.00+$64.00=$88.00

Hope this helps :)

Have a nice day :)

Can you give me brainliest plz :)

This is due in ten mins help plz

Answers

3? I think is the answer for this
I’m pretty sure it’s three as well

3-(2)/(9)b=(1)/(3)b-7

Answers

Answer:

b=18

Step-by-step explanation:

9 x 10^-9 in standard form

Answers

Answer:

[tex]9^{1000000000}[/tex]

Step-by-step explanation:

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