I need help with this proof

I Need Help With This Proof
I Need Help With This Proof

Answers

Answer 1

The proof that shows that triangles ABC and EDC are similar is explained in the table below.

How to Write a Proof?

A proof is a logical argument that demonstrates the truth of a statement. So, each step must be justified and flow logically from the previous step.

The proof that shows that the triangles are similar is explained as shown below.

Statement Reason

1. AB || DE 1. Given

2. <A ≅ <E 2. Alternate interior <s theorem

3. <B ≅ <D 3. Alternate interior <s theorem

4. ∆ABC ~ ∆EDC 4. AA Similarity theorem

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Related Questions

a p-value is .1151. what is the test-statistic (z-score)? explain how you know this. (explain how you calculated the answer.)

Answers

The test-statistic (z-score) is 1.19984.

To find the test statistic (z-score) using the p-value, you will need to use the inverse of the standard normal cumulative distribution function (CDF), also known as the inverse normal function or the "normal inverse function." This function can be found using a calculator or a spreadsheet program with built-in functions, or you can use a table of standard normal probabilities to find the corresponding z-score for a given p-value.

For example, if the p-value is 0.05, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.645. This means that the test statistic (z-score) for a p-value of 0.05 is 1.645.

It's important to note that this method only works for a one-tailed test, for a two-tailed test you need to divide your p-value by 2 and then use the inverse normal function.

so, the p-value is 0.1151, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.19984.

Therefore, the test-statistic (z-score) is 1.19984.

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The ratio of side lengths of a quadrilateral is 3 : 5 : 6 : 9, and its perimeter is 9.6cm. What is the length of the longest side?

Answers

The length of the longest side is solved to be 3.76 cm

How to determine the length of the longest side

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0.

The perimeter o the quadrilateral have a formula that add all the sides together, assuming the factor of the original length is x, the perimeter is solved by

9.6 = 3x + 5x + 6x + 9x

9.6 = 23x

x = 9.6 / 23

x = 0.4174

The length of the longest side

= 9x

= 9 * 0.4174

= 3.76 cm

3.76 cm is the length of the longest side

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What fraction names the equal parts of the whole pizza? Enter your answer in the boxes. Circle is divided into 4 equal parts. Line

Answers

If the pizza is divided in to four equal parts , then each equal part is named as "one fourth" .

The fraction is defined as a numerical value that is part of a whole. Fraction is evaluated by dividing a whole into number of parts.

For Example : 1/2 represents the half part of the whole .

The pizza is divided into four equal part ;

So , the total number of parts in the pizza is = 4 parts ,

one part of the pizza will be written in fraction form as : 1/4 ;

We can say that each pizza slice is 1/4 of whole pizza and  1/4 is read out  as "one fourth".

The given question is incomplete , the complete question is

What fraction names the 4 equal parts of the whole pizza ?

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8(r+1) Distributive property

Answers

Answer:(8 x r)+(8 x 1)

Step-by-step explanation:

[tex]8(r+1)[/tex]

Distribute:

[tex](8)(r)+(8)(1)[/tex]

[tex]\fbox{8r + 8}[/tex]

The most Ellsworth can afford to pay per year in mortgage payments is
$14,000, and his credit score is currently 498. According to the following table
for a $150,000 mortgage, by how many points would he need to improve his
credit score in order to take a mortgage for $150,000?
FICO
Interest
Score
Rate
720-850
700-719
675-699
620-674
560-619
500-559
5.59%
5.71%
6.25%
7.40%
8.53%
9.29%
A. 2 points
OB. 177 points
O C. 122 points
OD. 62 points
Monthly
Payment
$860
$872
$924
$1039
$1157
$1238

Answers

62 points, he would need to improve his credit score in order to take a mortgage for $150,000.

What is a mortgage?

It is an agreement between you and a lender that allows you to borrow money to purchase or refinance a home and gives the lender the right to take your property if you fail to repay the money you've borrowed. A mortgage is a type of loan that's used to finance the property. A mortgage is a type of loan, but not all loans are mortgages. Mortgages are “secured” loans.

To calculate the monthly payment, we can use the formula:

M = P [i(1 + i)^n] / [(1 + i)^n – 1]

Where M is the monthly payment, P is the loan amount, i is the interest rate, and n is the number of payments (in this case, the number of months in 30 years)

Plugging in the values,

M = 150000 * (0.0929 / 12) / [ (1 + (0.0929 / 12))^(12 * 30) - 1]

This gives a monthly payment of $1238.

To find out how many points he needs to improve his credit score, we can compare this monthly payment to the maximum monthly payment he can afford, which is $14,000.

If $1238 is more than $14,000, he would need to improve his credit score to a point where the monthly payment would be less than $14,000. By looking at the table, we can see that the interest rate for credit score of 620-674 is 7.40%.

Hence, (D) option is the correct answer.

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Solve the simultaneous equation
3x + 4y = 67
5x + 6y = 106

Answers

Answer:

Step-by-step explanation:

A culture of bacteria has an initial population of 8600 bacteria and doubles every 5
hours. Using the formula P = Po 24, where P, is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 7 hours, to the nearest whole number?

Answers

Answer: The formula for population growth of bacteria with a constant doubling time is P = Po*2^(t/d), where P is the population after t hours, Po is the initial population, t is the time in hours, and d is the doubling time.

Given the initial population of 8600 bacteria and a doubling time of 5 hours, we can substitute these values into the formula:

P = 8600 * 2^(7/5)

To find the population after 7 hours, to the nearest whole number, we can use a calculator to calculate 2^(7/5) which is approximately 3.7 and then multiply it with the initial population.

P = 8600*3.7

P = 31420

So, the population of bacteria in the culture after 7 hours will be around 31420.

Step-by-step explanation:

Distributive property > Remove the parenthesis

-3(-3v^3+3-4w^2)

Answers

The expression -3(-3v^3+3-4w^2) after using the distributive property is  9v³ - 9 + 12w²

What is a distributive property?

The distributive property of multiplication over addition is a mathematical method of expanding bracket mostly applied when you need to multiply a value by a sum.

This property of multiplication explains how to solve expressions that are in the form of a(b + c).

From the information given, we have the expression;

-3(-3v^3+3-4w^2)

To carry out the distributive multiplication , we need to remove the parentheses of the expression by taking the following steps, we have;

expand the bracket and take note of the mathematical signs, we get

-3(-3v³ + 3 - 4w²)

9v³ - 9 + 12w²

Note that we can no longer add the terms because they are not like terms.

Hence, the expression is 9v³ - 9 + 12w²

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I just need the answer to W

Answers

The value of w in the rhombus is 19 degrees

How to determine the value of w?

From the question, we have the following parameters that can be used in our computation:

Angle CFD = 2w

Angle FED = 52 degrees

The figure is a rhombus

using the above as a guide, we have the following:

2w + 52 = 90

This is so because the angles in the base of the individual triangle are equal

Evaluate the like terms

2w = 38

Divide by 2

w = 19

hence, the solution is w = 19

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Brainly to whoever answers correctly.
Sidney made root beer floats for her friends when they came over. The table shows the ratio of cups of ice cream to cups of soda used to make the floats.

Ice Cream (cups) Soda (cups)
3.5 10.5
8 24
12.5 37.5
15 ?


At this rate, how much soda will Sidney use for 15 cups of ice cream?

30 cups
35 cups
40 cups
45 cups

Answers

The number of cups of soda Sidney will use for 15 cups of ice cream is 45 cups of soda.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

From the table,

3.5 cups of ice cream = 10.5 cups of soda.

This means,

1 cup of ice cream = 3 cups of soda.

Multiply 15 on both sides.

15 cups of ice cream = 45 cups of soda.

Thus,

45 cups of soda are used.  

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Can someone please help me with this? I need help ASAP

Answers

Answer:

58

Step-by-step explanation:

error: 64+2p = 180.  he missed 1 p.

so 2p =180-64

p = 58

3/4x-5=3/8 without fractions or decimals

Answers

Answer:

X= 7 1/6

Step-by-step explanation:

-3/4x-5=3/8

-Add 5 on both sides

-3/4x=43/8

-Divide 3/4 on both sides

-X= 7 1/6 (there is no way for this not to be a fraction or decimal.)

number of ice cream bars needed to sell 100 each weekend for a year

Answers

I year of weekends= 105days therefore 105, therefore you need 105 ice cream bars? hoped this helped

Greg calculated that he has to drive at least 50 miles per hour on the highway to get to his destination on time. What number line shows the solution set to this inequality

Answers

The number line which best conveys Gregg's situation is B.

line B is the answer and the image is attached,

Since Greg has calculated that his least or minimum speed should be 50 miles per hour ,

Then the line starts at 50 with the starting point shaded due to the at least notation.

Then at least means that,

Gregg may need to travel at a higher speed than 50, so the direction of the arrow moves to the right of the number line depicting a possible increase in Gregg's speed.

Therefore, the number line which best conveys Gregg's situation is B.

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one eighth of al's coins are quarters and the rest are nickels. if the total value of the coins is $3.60, how many of each type of coin does he have?

Answers

Number of quarters is 6 and number of nickels are 42.

One eighth of Al's coins are quarters, so if we let x be the total number of coins, then x/8 is the number of quarters Al has.

We know that:

Quarters are worth $0.25 and nickels are worth $0.05 and total value of the coins is $3.60

so, x/8 * $0.25 + (x-x/8) * $0.05 = $3.60

=> x/8 * 0.25 + 7x/8 * 0.05 = 3.60

multiplying both sides by 8 to cancel out 8, we get

=> x*0.25 + 7x * 0.05 = 28.8

=> x/4 + 7x/20 = 28.8

=> (5x + 7x)/20 = 28.8

=> 12x = 576

=> x= 48

x/8 = 6 and (x-x/8) = 42

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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

The length of the room are y2 – 5y = 750 , y(y – 5) + 750 = 0 and (y + 25)(y – 30) = 0

How to determine the expression

it is important to note that the formula for calculating the area of a rectangle is expressed as;

A = lw

Such that;

A is the area of the rectanglel is the length of the rectanglew is the width of the rectangle

From the information given, we have that;

Length = y

Width = y - 5

Area = 750 square feet

Substitute the values into the formula

750 =y(y - 5)

expand the bracket

750 = y² - 5y

y² - 5y- 750 = 0

This is factorized to give;

(y + 250 (y - 30)

Hence, the expression is y² - 5y- 750 = 0

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Please help I need the answers ASAP!

Answers

Part A:

Find m∠2,

Since ∠1 and ∠2 are alternate interior angles, they are equal. So, m∠2=60°

Part B:  

Find m∠3,

Since ∠2 and∠3 are supplementary, the sum of their measures is 180°. So, m∠3=180°-60° which is 120°.

An artist draws a stained glass window to scale. The actual window will have a length of 5ft and a width of 2ft. The scale from the drawing to the window is 2in to 1 ft. What is the width of the drawing?

Answers

Answer: 4 in

Step-by-step explanation:

One angle of an isosceles triangle measures 120°. What measures are possible for the other two angles? Choose all that apply.

10°
30°
80°
50°

Answers

Answer:

b) 30°

Additional information:-

One angle (x) = 30° Both angles (2x) = 60°

Step-by-step explanation:

We know that,

→ The other two angles of the isosceles triangles are equal.

Formula we use,

→ <A + <B + <C = 180°

Forming the equation,

→ 120° + x + x = 180°

Now the value of x will be,

→ 120° + x + x = 180°

→ 120° + 2x = 180°

→ 2x = 180° - 120°

→ 2x = 60°

→ x = 60°/2

→ [ x = 30° ]

Hence, option (b) is correct.

how many times does 6 go into 3594?

Answers

Answer : 3594/6 = 599

Answer: 599 times

Step-by-step explanation: 3594/6=599

Which equation is set up correctly using the Pythagorean Theorem for the triangle below?
9 cm and 14 cm x

A.9² +15²=x²
B.9+z=15
C.15+9=x
D.9²2 +2²=15²

Answers

Answer:

A.9^2+15^2=x^2

Step-by-step explanation:

Pythagorean Theorem

a^2+b^2=c^2

suppose the mean and standard deviation are 74.04 and 9.75, respectively. if we assume that the distribution of ages is mound-shaped and symmetric, what percentage of the respondents will be between 64.29 and 93.54 years old?

Answers

Approximately 81.5% of the respondent will be between 64.29 and 93.54 years old.

Given that:

Mean u = 74.04

Standard deviation S.D. = 9.75

Distribution of ages is mound-shaped and symmetric.

We have to find percentage of the respondent between 64.29 and 93.54 years old.

For 93.54

z-score = [tex]\frac{x-u}{S.D}[/tex]

Z score = (93.54 – 74.04)/9.75 = 19.5/9.75 = 2

For 64.29

Z score = (64.29 – 74.04)/9.75 = -9.75/9.75 = -1

Now p-value from z-table:

P(x<93.54) = p(z<2) = 0.97725

P(x>64.29) = p(z>-1) = 0.15866

Probability between 64.29 and 93.54 year old = .97725 – 0.15865

= 0.8186

Percentage of the respondent = 0.8186 * 100 = 81.8%

Therefore, approximately 81.5% of the respondent will be between 64.29 and 93.54 years old.

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For parties of six or more, a restaurant adds a 20% gratuity (or tip). If a
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip. $177.90

Answers

The total dinner bill was $177.90 including a tip of 20%.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"

Given that, a restaurant adds a 20% gratuity (or tip), a dinner bill for a large party comes to $148.25, we need to find the total dinner bill with tip.

The total bill will be = 148.25 + 20% of 148.25

= 148.25 + 20/100 × 148.25

= 148.25 + 0.2 × 148.25

= 148.25 + 29.65

= 177.90

Hence, the total dinner bill was $177.90 including a tip of 20%.

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Witch is cheaper 50 head of cattle for $24,500 or 37 head of cattle for $18,870

Answers

to get the unit price, divide the money by how many is getting bought. in this case, 24,500 / 50 and 18,870 / 37. The first is $490. the second is $510. So the 50 head of cattle for 24,500 would be cheaper.

Let p and q represent the following statements.

p: Brad Pitt is governor.

9 There are not 51 states in the U. S.

Express the following statement symbolically.

There are 51 states in the U. S.

The statement written symbolically is

Answers

AS per the concept of reasoning, the statement written symbolically is ~Q

The term reasoning in math is defined as a drawing logical conclusions based on evidence or stated assumptions

While we looking into the statement P and Q, then we can  get it as

p: Brad Pitt is governor.

q: There are not 51 states in the U. S.

Here we have to know that the we have to write the following in the symbolic form, that is written as,

=> There are 51 states in the U. S.

While we looking into the statement, we have identified that the  statement is write as the inverse form of the previously given one.

So, the symbolic form is ~Q.

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Simply the expression & explain

Answers

Answer:

780

Step-by-step explanation: The answer is 780!

An angle is two collinear rays with a common endpoint. Find an example that contradicts this definition. How would you change the definition to make it more accurate? (5 points)


Part B: Give an example of an undefined term and how it pertains to angles

Answers

As per the collinear point, the common endpoint is called the vertex of the angle, and the rays are called the sides of the angle.

The term collinear point in math is defined as a set of three or more points that exist on the same straight line

Here we have given that an angle is two collinear rays with a common endpoint.

And we need to find an example that contradicts this definition.

Here we also know that an angle is the union of two noncollinear rays with a common endpoint.

Then the common endpoint is called the vertex of the angle and the rays are called the sides of the angle.

And it is measure of an angle is a number representing the spread of the two arms of the angle.

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k divided by 0.1 = 36 what is k

Answers

[tex]\dfrac{k}{0.1} =36[/tex]

Multiply both sides by 0.1:

[tex](\dfrac{k}{0.1} )\times0.1=(36)\times0.1[/tex]

[tex]\fbox{k = 3.6}[/tex]

Use the distributive property to write three different expressions that are equivalent to. 24xy + 48xz

Answers

Only thought of 2 on the spot but here
1/ 24(x+y) + 48(x+z)
2/ (24x + 24y) + (48x+48z)

Solve for question 1. Linear or exponential
2. Additively or multiplicatively
3. Common difference/ slope or common ratio/ multiplier/ base

Answers

Linear function would better model the data because as x increases, the y values change additively. The common difference of this function is approximately 159.

How to classify the functions?

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

For this problem, the function is classified as linear, as the difference between consecutive terms is of approximately 159, while the ratios are different.

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