Which congruence theorem can be used to prove angle BDA triangle DBC?
С
B
D
A
OHL
O SAS
O AAS
O SSS

Answers

Answer 1

The answer is actually A. HL

Which Congruence Theorem Can Be Used To Prove Angle BDA Triangle DBC?BDAOHLO SASO AASO SSS
Answer 2

The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.

Option A is the correct answer.

What is triangle congruency?

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

We see that,

ΔBDA and ΔDBC are both right triangles.

Now,

DC = AB (hypotenuse) (given)

DB = DB ( Common sides )

CB = DA ( Remaining side of the right triangle )

ΔBDA ≅ ΔDBC

Proved by HL.

Thus,

The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.

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Which Congruence Theorem Can Be Used To Prove Angle BDA Triangle DBC?BDAOHLO SASO AASO SSS

Related Questions

At a local restaurant, 40% of the lunch customers order a hamburger, 70% of the lunch customers order French fries, and 30% of lunch customers order both a hamburger and French fries. If a lunch customer is randomly selected from this restaurant, what is the probability that the customer order fries if we know they ordered a hamburger?


0.40
0.40

0.43


0.75


0.30

Answers

Answer:

hola anyone got tacos

Step-by-step explanation:

The probability that a customer orders fries given that the customer orders hamburger is 0.75

To solve this, we make use of the following representations

A represents the event that a lunch customer orders a hamburgerB represents the event that a lunch customer orders a French fries

So, we have:

[tex]P(A) = 40\%[/tex]

[tex]P(B) = 70\%[/tex]

[tex]P(A\ n\ B) = 30\%[/tex]

The probability that a customer orders fries given that the customer orders hamburger is calculated as:

[tex]P(B | A) =\frac{P(A\ n B)}{P(A)}[/tex]

So, we have:

[tex]P(B | A) =\frac{30\%}{40\%}[/tex]

[tex]P(B | A) =0.75[/tex]

Hence, the probability that a customer orders fries given that the customer orders hamburger is 0.75

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What is the value of x?

Answers

Answer:

x= 120 degrees

Step-by-step explanation:

A straight line is 180 degrees.

meaning 180-60-40= 80, which makes the missing blank at the bottom of the triangle 80.

80+40= 120 and since x is equal to the inner corner, x is 120.

PLEASE HELP ME OUT I NEED HELP

Answers

y=2/2x+2 or y=1x+2 i think

In a bouquet of flowers, there are 7 daisies and 19 roses. Write the ration of daisies
to roses in three different ways.
A. 7 to 19, 7:19, 7/19
B.19 to 7, 19:7, 1977
C.7 to 19, 19:7, 1977
D.19 to 7, 7:19, 7/19

Answers

Your answer is going to be A. 7 daisies being the 7, and 19 being the roses in a 7 to 19 ratio. Therefor, your answer is A

Answer:

A

Step-by-step explanation: : )

The GCF of 36 uw 3y and 45 u 2y is _____. 9 uy 3 uy 1,620 u 2w 3y 180 u 2w 3y

Answers

Given:

[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]

To find:

The GCF of given expressions.

Solution:

The factor forms of given terms are:

[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]

[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]

Now, greatest common factor (GCF) of given terms is

[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]

[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]

So, the GCF of given terms is 9uy.

Therefore, the correct option is A.

A bag of 8 apples costs $1.50 at Sam's Orchard. a. At this same
rate, how much would 18 apples cost?
Please help

Answers

Answer:

$3.38

Step-by-step explanation:

8/1.5=18/x

18*1.5/8

3.375

or 3.38

Hope this helps plz hit the crown :D

Answer:

18=3.38

Step-by-step explanation:

Order the set of integers from greatest to least. {6, 17, -20, 15, -19, 26}

Answers

26, 17, 15, 6, -19, -20

4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%

Answers

Answer:

what are you asking though

As a lifeguard, Sara earns a base pay of $80 per day. If her day involves swim instruction, Sara earns an additional $9 per hour, where t represents the number of hours she gives instruction.

Part A: Write an expression to represent how much money Sara earns in a day

Part B: Evaluate your expression to determine how much money Sara earns if she does 7 hours of swim instruction​

Answers

Answer:

Part A:   y = 9t + 80

Part B:   $143

Step-by-step explanation:

When solving this question all we need to keep in mind is the fact that if Sarah will not give swim instructions she will get $80 dollars just because she was there as a lifeguard. Then lets think about what will happen when she will work "t" hours? Well, she will get $80 for just being there as a life guard and then on top of that she will get $9t (because she gets $9 every hour she gives instructions). So just now we made an equation that we can use to express how much money Sara earns a day. It can be written mathematically as the following......

Let "y" be the among of money Sara will get paid at the end of the day. then...

y = 9t + 80

In order to answer Part B of this question we will just have to plug 7 instead of "t" into he expression that we made in part A. And so we get .......

y = 9t + 80

y = (9)(7) + 80

y = 63 + 80

y = 143

i need these from least to greatest A.11^4/11^11 B.1/11^-4 C.(11^-3)^-3 D.11^5•11^2


this is for 30 points

Answers

Answer:

[tex] \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]

Step-by-step explanation:

[tex]A) \frac{ {11}^{4} }{ {11}^{11} } = {11}^{4 - 11} = {11}^{ - 7} \\ \\ B)\frac{1}{ {11}^{ - 4} } = {11}^{4} \\ \\C) ( {11}^{ - 3} )^{ - 3} = {11}^{ - 3( - 3)} = {11}^{9} \\ \\ D){11}^{5} . {11}^{2} = {11}^{5 + 2} = {11}^{7} \\ \\ \because \: {11}^{ - 7} < {11}^{4} < {11}^{7} < {11}^{9} \\ \\ \therefore \: \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]

Answer:

A.11^4/11^11

Step-by-step explanation:

Solve for the variable using Trig ratio.

Answers

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(50)° = [tex]\frac{x}{6}[/tex]

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23)° = [tex]\frac{a}{15}[/tex]

a = 15sin(23)°

a = 5.86

Expand and simplify
(7 + V 6 )^2
Give your answer in the form b+ c V 6

Answers

Answer:

55 + 14[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given

(7 + [tex]\sqrt{6}[/tex] )² = (7 + [tex]\sqrt{6}[/tex] )(7 + [tex]\sqrt{6}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

7(7 + [tex]\sqrt{6}[/tex] ) + [tex]\sqrt{6}[/tex] (7 + [tex]\sqrt{6}[/tex] ) ← distribute both parenthesis

= 49 + 7[tex]\sqrt{6}[/tex] + 7[tex]\sqrt{6}[/tex] + 6 ← collect like terms

= 55 + 14[tex]\sqrt{6}[/tex]

b +cV 6 ÷12a

Step-by-step explanation:

let meknow 8i I am wrong

Write a linear function f with the given values.

f(x) =

Answers

Answer:

f(x) = -2x + 1

Step-by-step explanation:

Patrice has 18 square tiles that she will lay side-by-side to form a rectangle. Name the dimensions of three different rectangles she can form

Answers

Answer:

9x2, 6x3, 1x18

Step-by-step explanation:

9x2=18

6x3=18

1x18=18

Answer:

9x2, 6x3, 1x18

Step-by-step explanation:

Hope this helped have an amazing day!

The lunch lady has 3 pounds of lasagna. If she makes 1/6 pound servings using this amount of lasagna, how many servings can she make?

Answers

Answer:

She can make 18 servings.

Step-by-step explanation:

We can simply multiply 3 by 6 to get the number of servings.

This is the same as dividing 3 by 1/6 since dividing is the same as multiplying the reciprocal.

What is the length of the hypotenuse? 1. 52 + 122 =c2 2. 25 + 144 =c2 3. 169=c2 c=

Answers

Answer:

Step-by-step explanation:

In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......

1) 52 + 122 = [tex]c^{2}[/tex]

  174 = [tex]c^{2}[/tex]

  [tex]\sqrt{174} =c[/tex]

  13.190905 ≈ c

2) 25 + 144 = [tex]c^{2}[/tex]

   169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

3) 169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

Hope this helps :)

The length of the hypotenuse 13 units.

What is a hypotenuse?

A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Given that, A right triangle has side lengths 5 inches and 12 inches.

Using Pythagoras theorem,

h = √5²+12²

h = √25+144

h = √169

h = 13

Hence, the length of the hypotenuse 13 units.

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hii please help mee urgent :)

Answers

Answer:

The answer is C.

explanation:

The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.

sorry if its wrong, but pretty sure im right.

Which of the following is equal to the square root of the cube root of 6 ? (1 point)

Select one:
a. 6 to the power of 1 over 6
b. 6 to the power of 1 over 3
c. 6 to the power of 2 over 3
d. 6 to the power of 3 over 2

Answers

Answer:

b

Step-by-step explanation:

Question 4, I do not understand how they figure It out. Please explain

Answers

5/8 minus 2/5 equals 9/40

Answer:

I saw this hope it helps

Answer the question below?

Answers

the figure is regular quaidlater

the sum of all interior angle is 360

measure of angle = 360/4

= 90

so the exterior angle is 90 ( by linear pair)

pls help LOL will give brainliest!
The ratio of the measures of the interior angles in a given triangle is 13:23:9. what is the measure, in degrees, of the most acute angle?

Answers

Answer:

36 degrees

Step-by-step explanation:

So, first of all, the interior angles of any triangle add up to 180.

First, you add up all the numbers in the ratio.

13+23+9=45

180/45=4  [To find out how much each piece really equals]

So, now that we know what each piece equals, the most acute triangle was the one that said '9' in the ratio.

4*9=36

Hope it helped, tell me if it's wrong, I'll correct it.

Answer:

36

Step-by-step explanation:

Ratio = 13 : 23 : 9

The interior angles are = 13x , 23x , 9x

13x + 23x + 9x = 180 {Angle sum property}

                45x = 180

                   x = 180/45

                  x = 4

Most acute angle = 9x = 9*4 = 36

Chantay made this square picture. She wants to glue yarn around the border to make a frame. How much yarn does she need?

Answers

Answer:

60 I

Step-by-step explanation:

because it would be 15 times 4 right I think

A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is located at (-20,0) and then rotates through an angle of 45°, what is the new location of the hand with the coordinates approximated to the nearest 0.01 inch?

Answers

Answer:

The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)

Step-by-step explanation:

The initial location of the robots hand = (-20, 0)

The angle through which the robot rotates his hand = 45°

∴ We have the length of the robots hand = 20 inches

We note that (-20, 0) is in the 2nd Quadrant

The location of the robots hand after rotating 45° counterclockwise = 135°

Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°

Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)

the green shape is a dilation of the black shape.what is the scale factor of the dilation? ​

Answers

Answer:  5

Step-by-step explanation:

Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]

Given: Black triangle ( original) having perpendicular with length 4 units.  [2 blocks above and 2 boxes below the x-axis ]

Green triangle ( image) having corresponding side as 20 units  [10 blocks above and 10 boxes below the x-axis ].

Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]

Hence, the scale factor of the dilation = 5

Help?????????? Please

Answers

Answer: 2 cups of water to 8 cups of flour

Step-by-step explanation:

Answer:

2 cups of water to 8 cups of flour

Step-by-step explanation:

Meredith earns 17.00 per hours at her job. She works 40 hours Per week and gets paid every two weeks. Meredith pays 1/4 of each paycheck in taxes. If Meredith earns a 10% raise in her hourly pay how much more will she pay in taxes

Answers

Answer:

34

Step-by-step explanation:

Amount earned per hour = 17.00

Total hours worked = 40 hours

per week

Total amount earned in two weeks = 2(17.00 × 40)

= 2(680)

= 1,360

Tax = 1/4 of her paycheck

= 1/4 × 1,360

= 1,360/4

= 340

If Meredith earns a 10% raise in her hourly pay

Amount earned per hour = 10% of 17.00 + 17.00

= 0.1 × 17.00 + 17.00

= 1.7 + 17.00

= 18.7

Total hours worked = 40 hours

per week

Total amount earned in two weeks = 2(18.7 × 40)

= 2(748)

= 1,496

Tax = 1/4 of her paycheck

= 1/4 × 1,496

= 1,496/4

= 374

how much more will she pay in taxes

= 374 - 340

= 34

I’ll give brainliest

9x^2+3x^3

Answers

Answer:

9x² + 3x³ = 3x²(3 + x)

Step-by-step explanation:

9x² + 3x³ = 3x²(3 + x)

Answer:

3x²(3 + x)

Step-by-step explanation:

9x² + 3x³

3x²(3 + x)

I hope this helps

2=b-7 solve this question please​

Answers

Answer: 9=b

Step-by-step explanation:

2=b-7

Add 7 to both sides

2+7=b

9=b

Answer:

b = 9

Step-by-step explanation:

2 = b - 7

add 7 to both sides

9 = b

Identify the solution that has grouped the like terms correctly.

-2+6y+m-2y+8-4m


Answers

Answer:

C

Step-by-step explanation:

The terms with the same variable are like terms.

What is the answer to the division problem shown?
9)4590

Answers

510 would be your answer. I hope this helped! :)

Answer:510

Step-by-step explanation:Can double check internet

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