Practice
Example 1
PROOF Write each proof.
1. Given: AB || CD, ∠CBD ≅ ∠ADB
Prove: ΔABD ≅ ΔCDB

PracticeExample 1PROOF Write Each Proof.1. Given: AB || CD, CBD ADBProve: ABD CDB

Answers

Answer 1

For the given data AB||CD , ∠CBD ≅ ∠ADB the triangle ABD is congruent to triangle CDB by SAS theorem of congruency.

As given in the question,

From the diagram it is given,

AB || CD

In  ΔABD and  ΔCDB

AB = CD  (Given)

∠CDB = ∠ABD (Given)

BD = BD (common side between two triangle)

so by SAS Congruence rule we have,

ΔABD ≅ ΔCDB.

SAS rule

According to the SAS congruence rule, if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Therefore, ΔABD ≅ ΔCDB using SAS congruence rule.

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Related Questions

whatcis 626362737287387287373 times 77474747743874837847348734463763786837

Answers

The result of 626362737287387287373 times 77474747743874837847348734463763786837 represented in scientific notation is 4.80498727057566113882339366151788673587 × 10⁹⁵.

The number you provided in your question can be represented in scientific notation. Scientific notation is a way of expressing numbers in a compact form that is especially useful for very large or very small numbers. The number you provided in your question can be represented in scientific notation as:

7.7474747743874837847348734463763786837 × 10⁷⁷

And 626362737287387287373 can be represented as:

6.26362737287387287373 × 10¹⁸

The product of these two numbers can be calculated as follows:

(7.7474747743874837847348734463763786837 × 10⁷⁷) × (6.26362737287387287373 × 10¹⁸) =

= (7.7474747743874837847348734463763786837 × 6.26362737287387287373) × (10⁷⁷ × 10¹⁸) =

= 48.0498727057566113882339366151788673587 x 10⁹⁵

So, the result of 626362737287387287373 times 77474747743874837847348734463763786837 in scientific notation is:

4.80498727057566113882339366151788673587 × 10⁹⁵

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four hundred
eighty three million, six hundred thousand miles.

Answers

Answer:

400

83 000 000

600,000

-----------------------

483,600,000 miles

please help me on this

please help me on this

Answers

Answer:

monkey is monkey so monkey and monkey conbided = baby little happy monkey

Step-by-step explanation:

a chord 7cm long is drawn in a circle of radius 3.7cm. calculate the distance of the chord from the centre of the circle

Answers

Answer: To find the distance of a chord from the center of a circle, we need to use the following formula:

Distance from center = sqrt(r^2 - (c/2)^2)

Where r is the radius of the circle and c is the length of the chord.

In this case, the radius of the circle is 3.7cm and the length of the chord is 7cm.

So, substituting these values in the formula, we get:

Distance from center = sqrt(3.7^2 - (7/2)^2)

= sqrt(13.69 - 12.25)

= sqrt(1.44)

= 1.2 cm

Therefore, the distance of the chord from the center of the circle is 1.2 cm.

Step-by-step explanation:

the phone company charges $33 for having a smartphone plus $9.95 a month for 2gb. IF mark has only $146.43 to spend on a phone, how many months can he have the phone? inequalities

Answers

The number of months Mark can have the phone is given by the equation

A = 11.4 months

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

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A shop sell bagels for 5$ per dozen

A shop sell bagels for 5$ per dozen

Answers

Answer:

1.

6 bagels = 2.50$

2.

120 bagels or 10 dozen for 50$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

If the shop sells 12 bagles for $5 that means it must be good bagles

Step-by-step explanation:

They make the doe then cook them then you buy them then you eat them and they tast great!

A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.

A circle labeled satellite 55 overlaps a circle labeled cable 75. Overlap is labeled 12. 4-column table with 3 rows. First column has no label with entries satellite, not satellite, total. Second column is cable with entries blank, 51%, blank. Third column is not cable with entries a, b, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.

a = 82%, b = 3%
a = 38%, b = 50%
a = 38%, b = 3%
a = 93%, b = 19

Answers

The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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AJ used a ratio of 2 teaspoons of liquid soap for every 3 gallons of water. AJ has 3 tablespoons liquid soap to mix with water. How many gallons of water should he use.

AJ used a ratio of 2 teaspoons of liquid soap for every 3 gallons of water. AJ has 3 tablespoons liquid

Answers

the answer for this equation is 10 gallons of water

help me plz due today​

help me plz due today

Answers

Answer:

The coefficients are 4 and 2

Step-by-step explanation:

they are the ones in front of the variables

for example, the coefficient of 12x is 12

anyways, stan tokoroki for clear skin

Explain why y−7x−5=2/6.

Answers

Answer:

the expression

y -7/x-5 = 1/3 or 2/6

Step-by-step explanation:

Cross multiplying both sides:

3(y-7) = x - 5

3y - 21 = x - 5

3y - x = 21 - 5

3y - x = 16

The simplified equation is 3y-x=16.

Hello for this particular problem can I change the final results to a whole number? or it is not possible?

Hello for this particular problem can I change the final results to a whole number? or it is not possible?

Answers

We are asked which of the given combinations will produce a number that is less or equal to 25.

For A we have:

\(A=3(8\frac{3}{4})\)

Let's remember that for a mixed fraction we have:

\(a\frac{b}{c}=a+\frac{b}{c}\)

Therefore, we can change the mixed fraction and we get:

\(A=3(8\frac{3}{4})=3(8+\frac{3}{4})\)

Solving the operations:

\(A=26.25\)

Since we get a number greater than 25 this is not a trail he can ride.

For B we have:

\(B=2(10\frac{1}{4})\)

Changing the mixed fraction:

\(B=2(10\frac{1}{4})=2(10+\frac{1}{4})\)

To solve the operation we will apply the distributive property:

\(B=20+2\times\frac{1}{4}\)

Now, we simplify the fraction:

\(B=20+2\times\frac{1}{4}=20+\frac{1}{2}\)

Now, we use the fact that 1/2 = 0.5:

\(B=20+\frac{1}{2}=20+0.5=20.5\)

Since we get a number that is less than 25 this is a train he can ride.

For C we have:

\(C=2(7\frac{1}{2})+10\frac{1}{4}\)

Changing the mixed fraction:

\(C=2(7+\frac{1}{2})+10+\frac{1}{4}\)

Now, we apply the distributive property:

\(C=14+1+10+\frac{1}{4}\)

Solving the operations. We use the fact that 1/4 = 0.25:

\(C=25+0.25=25.25\)

Since we get a number greater than 25 this is not a trail he can ride.

For D.

\(D=7\frac{1}{2}+2(8\frac{3}{4})\)

Now, we change the mixed fractions:

\(D=7+\frac{1}{2}+2(8+\frac{3}{4})\)

Now, we use the distributive property:

\(D=7+\frac{1}{2}+16+2\times\frac{3}{4}\)

Simplifying the fraction:

\(D=7+\frac{1}{2}+16+\frac{3}{2}\)

Now, we add the fractions, we have into account that when fractions have the same denominator we can add the numerators and use the common denominator, like this:

\(D=7+\frac{4}{2}+16\)

Simplifying the fraction we get:

\(D=7+2+16\)

Solving the operations:

\(D=25\)

Since we get 25 this is a trail that he can ride.

(d+2) (-7) simplified form

Answers

d-5 is the answerrrrrr

Answer:

-7d -14

Step-by-step explanation:

(-7)(d+2)= (-7 *d) +(-7*2)

-7d -14

Kora has 2 graham crackers and its enough for 1 s'mores. How many s'mores would Kora make if she had 20 graham crackers?​

Answers

Answer:

10

Step-by-step explanation:

20÷2=10 because It takes two to make one.

Need help solving this problem 35)210.35

Answers

Answer: The answer is 0.16638935108

Step-by-step explanation:

7 1/15 - 3 4/5

Answers:

A. 3 4/15

B. 4 11/15

C. 4 3/10

D. 3 1/15

Answers

Answer:

3 4/15

Step-by-step explanation:

A

An herbalist has 35 oz of herbs costing $3 per ounce. How many ounces of herbs costing $2 per ounce should be mixed with these 35 oz of herbs to produce a mixture costing $2.70 per ounce?

Answers

Based on the ounces of herbs and their cost, the amount of herbs that should be mixed to produce the mixture costing $2.70 per ounce is 21 ounces

How to find the ounces of herbs?

Assuming that the amount of ounces needed to be mixed with the 35 ounce of herbs to produce a mixture costing $2.70 per ounce is x, then the formula would be:

Total cost = (2 × x) + (3 x 35) = 2.7 x (x + 35)

This can be expanded to be:

2x + 105 = 2.7x + 94.5

0.5x = 10.5

x = 10.5 / 0.5

x = 21 ounces

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16) Solve for side AB.
AB-
Round your answer to the nearest hundredth.

A) 5.45
B) 6.45
C) 7.45

16) Solve for side AB.AB-Round your answer to the nearest hundredth.A) 5.45B) 6.45C) 7.45

Answers

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

In this triangle, side AB is the hypotenuse.

In order to find the hypotenuse, we can use the trigonometric function “cosine”,
since.

Cosine =
Adjacent side (which is 7) / hypotenuse

Cos(50) = 7 / AB

AB = 7 / Cos(50)

AB = 10.89006678802289

AB ≈ 10.89

Have a good day ^^

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below:
8.5 ft height
4 ft length
13 ft width

Answers

The conical base of the silo provides stability and structural integrity, enabling the company to offer reliable storage solutions for grains. It optimizes space utilization and supports easy handling and retrieval of stored grains.

The silo manufactured by the company features a conical base, as depicted in the drawing. The given dimensions are as follows: the height is 8.5 feet, the length measures 4 feet, and the width is 13 feet.

The height of 8.5 feet refers to the vertical distance from the base of the silo to the top of the conical base. It represents the overall height of the silo structure.

The length of 4 feet represents the measurement from one side of the conical base to the other. This dimension determines the diameter of the circular base of the silo.

The width of 13 feet signifies the measurement from the front to the back of the conical base. It determines the circumference of the circular base of the silo.

With these dimensions, the silo exhibits a conical shape, where the circular base gradually tapers towards the top. This design is well-suited for storing grains, as it allows for efficient distribution of pressure and facilitates the flow of grains during loading and unloading processes.

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PLS HELP ME!
A ladder 25ft long leans against a vertical wall with it's foot on level ground 7ft from the base of the wall. If the foot is pulled away from the wall at the rate 2ft/s , Express the distance (yft)of the top of the ladder above the ground as a function the time t second in moving

Answers

Answer:

what is this language

Step-by-step explanation:

Answer:

hope it will help you.....

PLS HELP ME!A ladder 25ft long leans against a vertical wall with it's foot on level ground 7ft from
PLS HELP ME!A ladder 25ft long leans against a vertical wall with it's foot on level ground 7ft from

3x+12y=-8 show ur work

Answers

Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.

3x+12y=-8 show ur work

On June 22nd, 2010, the S&P 500 was down 17.89 points to close at 1095.31.

3.
What was the value of the S&P
500 before the open on June
22nd, 2010?

4.
By how many percent change points was the S&P 500 down on June 22, 2010
round the answer to the nearest hundredth of a percent?

Answers

The value of the S & P 500 before the open on June 22nd, 2010 is 1,113.20 points.

The percent change points is -1.61%/

What is the percent change?

The value of the S & P 500 before the open would be higher than the value at the close of June 22nd, 2010. This was because the index declined over the day.

Value before the open of June 22nd, 2010 = value at the close + change

17.89 + 1095.31 = 1,113.20 points

Percentage change = (change in points / points before open) x 100

(-17.89 /1,113.20) x 100 = -1.61%

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Genesis is older than Dylan. Their ages are consecutive integers. Find Genesis's age if
the product of their ages is 110.

(ill give brainliest )

Answers

Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!

In order to set​ rates, an insurance company is trying to estimate the number of sick days that full time workers at an auto repair shop take per year. A previous study indicated that the population standard deviation is 2.8 days. How large a sample must be selected if the company wants to be​ 95% confident that the true mean differs from the sample mean by no more than 1​ day?
A. 512
B. 1024
C. 141
D. 31

Answers

Answer:

D. 31

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the population standard deviation is 2.8 days.

This means that \(\sigma = 2.8\)

How large a sample must be selected if the company wants to be​ 95% confident that the true mean differs from the sample mean by no more than 1​ day?

This is n for which M = 1. So

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(1 = 1.96\frac{2.8}{\sqrt{n}}\)

\(\sqrt{n} = 1.96*2.8\)

\((\sqrt{n})^2 = (1.96*2.8)^2\)

\(n = 30.12\)

Rounding up, at least 31 people are needed, and the correct answer is given by option D.

Please help with this question

Please help with this question

Answers

Answer:

I think it's Democrats

Step-by-step explanation:

but I hope I am right


Write the equation of the line that is perpendicular to x=7 and passes through point (-3, 5).

If ukuk

Answers

Answer: y=5

Step-by-step explanation: I just plotted the given point and graphed the line, then drew a perpendicular line that passed through the point.

Write the equation of the line that is perpendicular to x=7 and passes through point (-3, 5).If ukuk

PLS HELP Read the first paragraph of the article, "Kelvin Doe-A Young Engineer."
Which detail is explicit from this paragraph?

Answers

Answer:

Kelvin Doe is from a small village in the Republic of Sierra Leone in West Africa. Your welcome :)

Answer: Kelvin Doe changed the lives of the people in his community by his innovative thinking.

Step-by-step explanation: i got it right

Enter the value of p so that the expression 3(4+n) is equivalent to 3(n+p)​

Answers

Answer:
4
Step-by-step explanation:
Since 3(4+n) is equivalent to 3(n+p)​, 4 would be the correct answer

Simon bought a pack of butter for baking. The pack has 8 sticks of butter that are each 1/2 of a cup. Simon used 1 1/4 of butter to make brownies , 3/4 cup of butter to make a cake , and 1 1/4 cup of butter to make cookies . how much butter does Simon have left ?

Answers

The amount of butter that Simon has left is given as follows:

0.75 cups.

How to obtain the amount of butter?

The amount of butter that Simon has left is obtained applying the proportions in the context of the problem.

The pack has 8 sticks of butter that are each 1/2 of a cup, hence the number of cups purchased is given as follows:

8 x 1/2 = 4 cups.

Simon used 1 1/4 of butter to make brownies , 3/4 cup of butter to make a cake , and 1 1/4 cup of butter to make cookies, hence the number of cups used is given as follows:

1.25 + 0.75 + 1.25 = 3.25.

Hence the amount of butter that Simon has left is given as follows:

4 - 3.25 = 0.75 cups.

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1. A cinnamon toast recipe calls for 6 parts sugar to 1 part cinnamon. Place an X to indicate if each set of ingredients is proportional to the recipe. 4.5 tsp sugar and 0.75 cinnamon 9 tsp sugar and 1.5 tsp cinnamon 12 tsp sugar and 2 tsp cinnamon 15 tsp sugar and 3 tsp cinnamon proportional not proportional​

Answers

Step-by-step explanation:

if they are proportional, then they must keep the original ratio of 6/1 of sugar to cinnamon.

X 4.5/0.75 = 6 = 6/1

X 9/1.5 = 6 = 6/1

X 12/2 = 6 = 6/1

15/3 = 5 and that is NOT 6/1 (not proportional)

HElp me with this need it really bad

HElp me with this need it really bad

Answers

Answer:

- 37/100

Step-by-step explanation:

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