Given: LINE AB≅ LINE CB, LINE AD≅ LINE CD, ANGLE BAD≅ ANGLE BCD, LINE BD bisects ANGLE ABC

Prove: TRIANGLE BDE ≅ TRIANGLE CBD

Proof:

Statements
1. LINE AB≅LINE CB, LINE AD≅LINE CD
2.
3. ANGLE BAD ≅ ANGLE BCD
4. ANGLE ABD ≅ ANGLE CBD
5.
6. TRIANGLE ABD ≅ TRIANGLE CBD


Reasons
1.
2. Reflexive Property of congruence
3. Given
4.
5. Third Angles Theorem
6.

Given: LINE AB LINE CB, LINE AD LINE CD, ANGLE BAD ANGLE BCD, LINE BD Bisects ANGLE ABCProve: TRIANGLE

Answers

Answer 1

Answer:

Step-by-step explanation:

          Statements                                           Reasons

1). AB ≅ CB, AD ≅ CD               1). Given

2). BD ≅ BD                              2). Reflexive Property of congruence

3). ∠BAD ≅ ∠BCD                     3). Given

4). ∠ABD ≅ ∠CBD                     4). Given

5). ∠BDA ≅ ∠BDC                    5). Third angles theorem

6). ΔABD ≅ ΔCBD                     6). SAS property of congruence of two

                                                        triangles


Related Questions

Which unit rate is the lowest price per ounce? Choice A: 6 ounces of raisins for $2.98 Choice B: 13 ounces of raisins for $7.18 *

Answers

Answer:

Choice B.

Step-by-step explanation:

2.98 divided by 6 = 0.4966∞ (rounded to the nearest hundredths) 0.50

7.18 divided by 13 =  0.5523076923 (rounded to the nearest hundredths) 0.55

The difference is 5 cents.

~~~Hope this helps~~~ :)

Answer:

choice b

Step-by-step explanation:

what the slope of(12,7) (5,9) ​

Answers

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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]

[tex]slope = \frac{2}{ - 7} \\ [/tex]

[tex]slope = - \frac{2}{7} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]

Step-by-step explanation:

The slope of a line can be found using the following formula:

[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]

Where (x₁,y₁) and (x₂,y₂) are the points on the line.

We are given the points (12,7) and (5,9). Therefore:

[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]

Substitute the values into the formula.

[tex]m=\frac{9-7}{5-12}[/tex]

Solve the numerator.

Subtract 7 from 9 9-7=2

[tex]m=\frac{2}{5-12}[/tex]

Solve the denominator.

Subtract 12 from 5 5-12= -7

[tex]m=\frac{2}{-7}[/tex]

This fraction cannot be reduced further, so it is the answer.

The slope of the line is -2/7

In a
group of 100 youths, the ratio of youths who like Android tablet and Ipad is 3:5. 1620 of them like
the tems and 40 of them like non of the items then by drawing a Venn diagram, find how many
dem like Android tablet only​

Answers

Answer:

None of them like the android tablet

Cindy struck out 7, 14, 6, 4, 5, and 6 batters in softball games this season. In discussing her stats with a newspaper reporter, Cindy's coach mentions that the average number of Cindy's strikeouts is 7. Is the coach's statement misleading? Explain why or why not.

Answers

Answer:

The coach's statement is not misleading because her average strikeouts  is 7.

Where as the coach also tells that it is 7.  

Step-by-step explanation:

The average is taken out by adding the observations and dividing by the total number of observations.

X`= ∑x/n     where n is the number of observations.

Average = 7 + 14 + 6 + 4 +5 +6 /6

Average = 42/6= 7

The coach's statement is not misleading because her average strikeouts  is 7.

Where as the coach also tells that it is 7.  

Please help you get 14 points

Answers

Answer:

false

Step-by-step explanation:

because 17.5×4 doesnt equal 20

Please help me answer number 12

Answers

Answer:

It is same.

The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.

Thank you and please rate me as brainliest as it will help me to level up

what is 0.00000000007234 written in scienific from guysss help mee plss

Answers

Answer:

7.234

Step-by-step explanation:

I think this right lol lmk

Answer:

[tex]7.234\times10^{11}[/tex]

Step-by-step explanation:

In order to find the scientific notation of a number you must count the zeros.

[tex]0.00000000007234[/tex]

[tex]zeros=10[/tex]

[tex]7.234\times10^{11} =.00000000007234[/tex]

Remember you have to move the decimal point 11 times to get the decimal to where it is in standard form.

Hope this helps.

5. Your friend has a job at a fast food restaurant wrapping hamburgers. How many

hamburgers will they have to wrap to make one million dollars?

Every 3 hours they wrap 350. hamburgers.

They work 8 hours per day; 5 days per week.

They are paid every 2 weeks with a salary of $725.77.

Answers

9514 1404 393

Answer:

  12,859,905 hamburgers

Step-by-step explanation:

Each conversion factor has a value of 1, but changes units. That is, the value of the numerator is the same as the value of the denominator, but expressed in different units.

We choose the representation of the conversion factors to cancel units we don't want and give us units we do want.

  [tex]\$1\,000\,000=\$1\,000\,000\times\dfrac{2\text{ week}}{\$725.77}\times\dfrac{5\text{ day}}{1\text{ week}}\times\dfrac{8\text{ h}}{1\text{ day}}\times\dfrac{350\text{ burgers}}{3\text{ h}}\\\\=\dfrac{1\,000\,000\times2\times5\times8\times350}{725.77\times3}\text{ burgers}\approx\boxed{12\,859\,905\text{ burgers}}[/tex]

__

Additional comment

That's a little over 55 years, if they take 2 weeks off each year.

Given f(x) = 17x - 18, find x when f(x) = 33.

Answers

Answer:

f(x) = 17x - 18

y=17x-18

y=17(33)-18

y=561-18

y=543

f(x)=543

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Plug in 33 for f(x) into the first equation:

33 = 17x - 18

17x = -51

x = -3

4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes?​

Answers

Answer:

560 $

Step-by-step explanation:

4 shoes is 80

so, we have to multiply

$140

Or

£140

You are American so its the first one

please help please


Which relations are functions? Select all that apply.
A. (3, 2), (-1, 7),(-3, 1), (0.9), (2, -4)
В.
х
-4
-2
у
9
12
15
c
x
1
2
3
4
y
2
4
6
13
D

Answers

Answer:

A and C

Step-by-step explanation:

For any relation to be considered a function, each domain value (x-value) must have exactly one range value (y-value). If a relation contains an x-value that has two or more y-value related/mapped to it, the relation is not a function.

Let's examine each option given.

Option A: each x-value has exactly one y-value related or assigned to it. Therefore, the relation is A FUNCTION.

Option B: the x-value, 4, has two y-values, 12 and 15 assigned to it. Therefore, the relation is NOT A FUNCTION.

Option C: each x-value has exactly one y-value related or assigned to it. Therefore, the relation is A FUNCTION.

Option D: the x-value, 1, has two y-values, -1 and 1 assigned to it. Also, x-value, 3, has two y-values, 2 and -2 assigned to it. Therefore, the relation is NOT A FUNCTION.

The rhombus QRST is made of two congruent isosceles triangles. Given m∠QTS = 64, what is the measure of ∠Q?

Answers

Answer:

The measure of Q is 116

Step-by-step explanation:

For a Rhombus, opposite angles are equal

so angle R is 64 too

Now, we should understand that the diagonals bisect the angles

So the angles in the triangle QTR are

Q + 32 + 32 = 180

Q = 180-64

Q = 116 degrees

A circle of radius 8 is inscribed in an isosceles trapezoid. The length of the larger base of the trapezoid is 20. Find the length of the shorter base.

PLEASE ANSWER FAST

Answers

Answer:

ayy

Step-by-step explanation:

sup

Answer:

12 4/5

Step-by-step explanation:

you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve

How do I solve this equation and check the solutions?

Answers

Answer:

The value of x is 10.

Step-by-step explanation:

The steps to do this :

[tex]x - \sqrt{2x + 5} = 5[/tex]

[tex]x - 5 = \sqrt{2x + 5} [/tex]

[tex] {(x - 5)}^{2} = {( \sqrt{2x + 5}) }^{2} [/tex]

[tex] {x}^{2} - 10x + 25 = 2x + 5[/tex]

[tex] {x}^{2} - 12x + 20 = 0[/tex]

[tex] {x}^{2} - 2x - 10x + 20 = 0[/tex]

[tex]x(x - 2) - 10(x - 2) = 0[/tex]

[tex](x - 2)(x - 10) = 0[/tex]

[tex]x = 2 \: (rejected)[/tex]

[tex]x = 10[/tex]

Evaluate the expression -36/-9

Answers

The answer would be 4
(Positive 4 btw)

What steps would you follow in order to solve the equation?

w/8 - 4 = 20

add 4 on each side and divide by 8
subtract 4 on each side and multiply by 8
add 4 on each side and multiply by 8
subtract 4 on each side and divide by 8

Answers

Answer:

Step-by-step explanation:

w/8-4=20

add 4 to each side

w/8=24

multiply by 8 to clear out the w on one side

w=192

Plot the image of triangle \triangle ABC△ABCtriangle, A, B, C under a reflection across line \ellℓell.

Answers

Answer:

Please find attached the required plot of the reflection of ABC across line l

Step-by-step explanation:

The reflection of the coordinates of the points of a preimage across a line is given by points with distances on the other side of the line of the same length as the distances of the coordinates of the points of the preimage are from the given line;

Therefore, the image of the preimage is drawn by selecting points on the other side of the reflecting line that are equidistant from the line as the points of the preimage, and that are directly (vertically) opposite the points on the other side of the line as shown in the attached graph drawn with Microsoft Word

evaluate the expression for the give value of the variable.
3d — 4
d = 1.2

Answers

Use substitution
3(1.2) - 4
3.6 - 4 = -0.4

After every eighth visit to a restaurant you receive a free beverage. After every tenth visit you receive a free appetizer. If you visit the restaurant 100 times, on which visits will you receive a free beverage and a free appetizer? At which visit will you first receive a free beverage and a free appetizer? Drag and drop the correct value into each box to complete the statement. You will receive a free beverage and a free appetizer on the and visits, and you will first receive a free beverage and a free appetizer on the visit.

Answers

Answer:

40th and 80th visit

the first visit where you receive both is the 40th

Step-by-step explanation:

personally, I believe that the simplest way to solve this is use an excel spreadsheet to see which visits would include both a free beverage and a free appetizer:

both rewards would happen only twice, at the 40th and 80th visit.

you can also calculate it mathematically since multiples of 8 and 10 do not repeat themselves very much, only when 8 is multiplied by 5 and 10.

Answer:

Step-by-step explanation:

4 divided by 2/3


pls pls pls pls pls help pls pls

Answers

Answer:

4 divided by 2/3 (4 ÷ 2/3) = 6

Step-by-step explanation:

When you divide one number by another , this is the same as multiplying that one number by the reciprocal of that other number. So a/b = a × 1/b = a × b^-1.

Also a reciprocal is the same as taking something to the power of -1.

When you take the reciprocal of a fraction, just flip the numerator, and denominator.

b^-1 = 1/b.

b^-n = 1/b^n.

(a/b)^-1 = b/a

a/b^-1 = ab

Therefore 4 / (2/3) = 4 × 3/2 = 12/2 = 6.

Answer:

6

Step-by-step explanation: 4  ÷ (2 ÷3)=6

Q is equidistant from the sides of ZTSR. Find mZRST. The
diagram is not to scale.
PLEASE HELP ME THIS IS FOR GEOMETRY I CANT FIGURE THIS OUT

Answers

9514 1404 393

Answer:

  40°

Step-by-step explanation:

Triangles QRS and QTS are congruent (HL), so the marked angles are also congruent:

  3x +2 = 4x -4

  6 = x

Then the total angle measure of angle RST is ...

  (3x +2) +(4x -4) = 7x -2 = 7(6) -2 = 40 . . . degrees

m∠RST = 40°

three segment measures are given. the three points named are collinear. determine which point is between the other two.

1. XY = 15, AY = 31, AX = 46
2. AB = 12, BC = 20, AC = 32
3. MO = 75, MC = 34, OC = 41
4. DE = 58, GE = 12, DG = 70​

Answers

Answer:

1.

Step-by-step explanation:

31+25=46

AY+YX=AX

what is the solution 4x-10=x+3x-2x​

Answers

Answer:

x=5

Step-by-step explanation:

Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much does will Gary have to pay in all? If he has $25, can he afford to purchase the game?

Answers

Answer:

i. $26.16ii.  He cannot afford the video game

Step-by-step explanation:

Step one:

given

selling price = $48

discount is 50%

tax= 4.5%

Step two:

let us first compute the amount in discount

=50/100*48

=0.5*48

=$24

also, let us compute the tax added

=4.5/100*48

=0.045*48

=$2.16

The total amount Garry has to pay is

=48-24+2.16

=$26.16

Step three:

If he has $25, he cannot afford the video game, he will have a deficit of $1.16

Answer: Gary will have to pay $25.08 in all, and if he has exactly $25, he can't afford to purchase the game because he only has $25, and he has to pay $25.08. $25.08 is more than $25, so he can't afford the game.

Step-by-step explanation:

First, subtract the $48 and 50% to find how much the video game costs.

So, $48-50%=24

Then, add the price of the video game, $24, to the 4.5% tax.

24+4.5%=25.08

Thus, Gary will need to pay $25.08 in all.

Denise guessed that the elephant at the zoo weighed 10,000 pounds. It actually weighed 12,400 pounds. Yesia guessed that the hippopotamus weighed 2,500 pounds and it actually weighed 3,600 pounds.Whose guess had the smaller percent error?

Answers

Answer: weight of elephant has smaller percent error.

Step-by-step explanation:

Percent error = [tex]\dfrac{|\text{estimated value -actual value}|}{\text{actual value}}]\times100[/tex]

Estimated weight of elephant  =  10,000 pounds

Actual weight of elephant = 12,400 pounds

Percent error of weight = [tex]\dfrac{|12400-10000|}{12400}\times100\%\approx19.35\%[/tex]

Estimated weight of hippopotamus  =  2,500 pounds

Actual weight of hippopotamus = 3,600 pounds

Percent error of weight = [tex]\dfrac{|2500-3600|}{3600}\times100\%\approx30.55\%[/tex]

Since 19.35 < 30.55

hence, weight of elephant has smaller percent error.

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation
(x – 8)2 = 144, x represents the side measure of the original lawn.

Answers

Answer:

The answer is 20 feet by 20 feet. Let's solve the equation: (x – 8)^2 = 144. (x - 8)^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8)^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.

how to estimate 26% of 322

Answers

Answer:

83.72

Step-by-step explanation:

26 percent *322 =

(26:100)*322 =

(26*322):100 =

8372:100 = 83.72

Answer:

83.72 or 84

Step-by-step explanation:

26% x 322=

26 / 100 x 322=

(26 x 322) / 100

83.72 / 100 = 83.72

83.72 = 84

Find the measurement

Answers

Answer:

AC = 40

Step-by-step explanation:

AC and BD are equal to each other in length. So:

4x-4 = 3x+7

Now you solve for x. Add 4 to each side.

4x= 3x + 11

Then subtract 3x from both sides.

X = 11. There you have X, now you plug 11 in for x in the AC= 3x+7

3(11) + 7 = AC

33 + 7 = AC

40 = AC

If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed

Answers

The answer is 4 miles per hour

Write a quadratic equation in standard form with the given roots. Show your work to find the equation. 2, 7

Answers

Answer:

x²-9x+14

Step-by-step explanation:

So the roots are 2,7

So the equation is

(x-2)(x-7)

=x²-2x-7x+14

=x²-9x+14

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