Part DHow do the angles of ∆DEF compare with those in the original triangle? In particular, compare the angle that you did not set in ∆DEF with the corresponding angle in ∆ABC.∆DEF and ∆ABC are similar triangles

Part DHow Do The Angles Of DEF Compare With Those In The Original Triangle? In Particular, Compare The
Part DHow Do The Angles Of DEF Compare With Those In The Original Triangle? In Particular, Compare The

Answers

Answer 1

Answer:

Triangles DEF and ABC have approximately the same interior angles. So, we can say that they are similar triangles. It means that

∠D = ∠A = 38.6°

∠E = ∠B = 90°

∠F = ∠C = 51.4°

So, the corresponding angles of ∆DEF have the same measure as the original triangle.


Related Questions


Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

First you put all the variables with a negative exponent to the opposite side of the fraction, with the answer of 45m^2p^2v^16/15m^6p^8. You then simplify, or cancel out until the variable only remains on one side of the fraction. 3v^16/m^4p^6. So your answer is B

What is an equation of the line that passes through the points (0, -5)(0,−5) and (-6, 0)(−6,0)? Put your answer in fully reduced form

Answers

Answer:

y = -5/6x - 5

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The equations of a line is y = mx + c

m = rise/run = 5/-6
c = -5

y = 5/-6x - 5

E-commerce websites "alter results depending on whether consumers use smartphones or particular web browsers"1, reports a new study. The researchers created clean accounts without cookies or browser history and then searched for specific items at different websites using different devices and browsers. On one travel site, for example, prices given for hotels were cheaper when using Safari on an iPhone than when using Chrome on an Android. At Home Depot, the average price of 20 items when searching from a smartphone was , while the average price when searching from a desktop was .

Answers

From the given information, some values are missing and we've provided them in a bold format below.

At Home Depot,

the average price for 20 items when searching from a smartphone was $230, while;the average price when searching from a desktop was $120.

The objective of this question is to determine the difference in their means.

From above:

Let the average price while searching on a smartphone be: \(\mathbf{\bar x_1 = 230}\)Let the average price while searching on desktop be: \(\mathbf{\bar x_2 = 120}\)

Therefore, the difference in their mean value is:

\(\mathbf{= \bar x_2 - \bar x_1}\)

\(\mathbf{= \$230 -\$120}\)

= $110

We can therefore conclude that the difference in their mean is $110

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Please answer this correctly

Please answer this correctly

Answers

Answer:

1.2 km

Step-by-step explanation:

The first thing that we should go over is the formula for the area of a trapezoid.

Recall that it is \(A= \frac{b_1 +b_2}{2} *h\)

From this image, we have the following information

\(b_1=2.5\\\\b_2=1.5\\\\A=2.4\)

Now, we can plug this information into our formula and then solve for h.

\(2.4=\frac{2.5+1.5}{2} *h\\\\2.4=\frac{4}{2} *h\\\\2.4=2h\\\\h=1.2\)

Another method that can be employed is to use the pythagorean theorem.

A trapezoid can be be broken into a rectangle and two triangles.

If we look at the difference in the sizes of the bases, the bottom base is 1 km larger. This means that the base of each triangle would be 0.5 km long.

As we have two side lengths of the triangle, we can now use the Pythagorean theorem to find the third side, which is h.

\((1.3)^2=h^2+(0.5)^2\\\\h^2=1.69-0.25\\\\h=\sqrt{1.44} \\\\h=1.2\)

Answer:

h=1.2 km

Step-by-step explanation:

This is the formula of a Trapezium

A=\(\frac{h(a+b)}{2}\)

\(2.4=\frac{(2.5+1.5)h}{2}\\ 2.4=\frac{4h}{2}\\ 2.4*2=4h\\4.8=4h\\h=1.2\)

Find the slope between (8, 3) and (-5, 3)

Answers

Answer:

slope=0 (horizontal line)

Step-by-step explanation:

A way to remember this is if you went skiing on a horizontal line you would have 0 fun.

Answer:

= 0

Explanation:

Given point: (8,3) and (-5,3)

To find the slope:

Slope: y1-y2/x1-x2

So, 3-3/8-(-5) = 0

Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.

BoundFigure 2.Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he

Answers

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

How to determine  the monthly instalment price and instalment price that Daikin needs to pay.

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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What is 35% of 65 I am stuck on this question

Answers

Answer:

it is 22.75

Step-by-step explanation:

Answer:

22.75 is the answer

Step-by-step explanation:

can you make brainliest please

I need please

A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks?

one fifth
10
25
35

Answers

35 is a reasonable prediction of the number of times he will select 2 yellow socks?

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

What is event?

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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I will mark brainlest

I will mark brainlest

Answers

Answer:
4^3 = 64
4^2 = 16
4^1 = 4
4^0 = 1

(-2)^3 = -8
(-2)^2 = 4
(-2)^1 = -2
(-2)^0 = 1
4^3=64
4^3=12
that should be the answer

Solve for u. 3u=7.5 please help me

Answers

Answer:

2.5

Step-by-step explanation:

7.5 divided by 3 equals 2.5.

(Also next time you can use a calculator)

The answer is U=2.5 it is 2.5 hope this helps you out.
Solve for u. 3u=7.5 please help me

The population of a town is predicted to grow according to the following model:
P = 15e0.012r
where P represents the number of people in thousands and t is the number of years since 2020. Find
the predicted population in the year 2030. Round your answer to nearest person
O 16,912 people
O 16,913 people
O 16 people
O 17 people

Answers

The predicted population in the year 2030 is 10 people

How to determine the predicted population in the year 2030

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

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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Enter the number that makes this equation true. 4.20 + 12/100 = _/100 + 12/100

Enter the number that makes this equation true. 4.20 + 12/100 = _/100 + 12/100

Answers

The answer I got is 420. Since 4.20 = 420/100

HELP ME I AM BEING TIMED

HELP ME I AM BEING TIMED

Answers

It’s the first answer

3 · {(300 - 70 ÷ 5) - [3 · 23 - (8 - 2 · 3)]}

Answers

Answer:

(657)

Step-by-step explanation:

Simplify the following:

3 (300 - 70/5 - (3×23 - (8 - 2×3)))

The gcd of -70 and 5 is 5, so (-70)/5 = (5 (-14))/(5×1) = 5/5×-14 = -14:

3 (300 + -14 - (3×23 - (8 - 2×3)))

-2×3 = -6:

3 (300 - 14 - (3×23 - (-6 + 8)))

8 - 6 = 2:

3 (300 - 14 - (3×23 - 2))

3×23 = 69:

3 (300 - 14 - (69 - 2))

| 6 | 9

- | | 2

| 6 | 7:

3 (300 - 14 - 67)

300 - 14 - 67 = 300 - (14 + 67):

3 ((300 - (14 + 67)))

| 1 |

| 6 | 7

+ | 1 | 4

| 8 | 1:

3 (300 - 81)

| | 9 |

| 2 | | 10

| | |

- | | 8 | 1

| 2 | 1 | 9:

3 (219)

3 (219) = (3×219):

(3×219)

3×219 = 657:

Answer: (657)

angle of is a right angle. the sides of are the diameters of semicircles as shown. the area of the semicircle on equals , and the arc of the semicircle on has length . what is the radius of the semicircle on ?

Answers

The radius of the semicircle having an arc of length equal to 8.5 \(\pi\) in a right-angle triangle ABC is equal to 7.5 cm.

Given:

Angle ABC of triangle ABC is a right angle. The sides of ABC are the diameters of semicircles.

The area of the semicircle on AB equals 8\(\pi\).

Area of a semicircle = \(\pi r^2/2\)

Therefore:

\(\pi r^2/2\) =  8\(\pi\)

\(r^2 = 16\)

\(r = 4\)

Next, the arc of the semicircle on AC has a length of 8.5\(\pi\).

Length of the arc of a semicircle = \(\pi r\)

\(\pi r\) = 8.5\(\pi\)

\(r = 8.5\)

Using Pythagoras theorem

\(8.5^{2} = 4^{2} + x^{2}\)

\(x^{2} = 8.5^2 - 4^2\\\)

\(x^{2} = 56.25\)

\(x = \sqrt{56.25}\)

\(x = 7.5\)

The radius of the semicircle of BC = 7.5 Units.

Refer to this complete question for this:

Angle ABC of triangle ABC is a Right angle. The sides of ABC are the diameters of semicircles as shown. The area of the semicircle on AB equals 8pi and the arc of the semicircle on AC has a length of 8.5pi. What is the radius of the semicircle of BC?

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angle of is a right angle. the sides of are the diameters of semicircles as shown. the area of the semicircle

If 60% of a number of 90, what is 4/5 of the number?*​

Answers

Answer:120

Step-by-step explanation:

A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class. Write an equation that represents the total cost of the membership.

Answers

The equation that represents the total cost of the membership will be y = 5x + 265.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.

Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,

y = 5x + 265

The equation that represents the total cost of the membership will be y = 5x + 265.

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Please help! THank you!

Please help! THank you!

Answers

Answer:

the slope is positive

Step-by-step explanation:

the numbers on the g(x) is going up so its positive

Describe one real-world example in which you would find a negative integer.

Answers

squid game answers every thing

well, a simpler example among many will be water level, on the surface of a body of water, namely lake or ocean or else, we(humans) count anything above the water as a positive integer, and anything below the water a negative one, so say a Pelican flying at 30 meters above water is +30m above, and then dives down to say 20 meters to get a fish, namely the Pelican has dived to a depth of -20m, it went from +30m to -20m, and then flies back up with its fish say 50m, so is +50m.

negative integers are always dependent on a point of reference, in the example before, the point of reference was the water level, but could be many things.

what is it called when a constant and variable are combined (math)​

what is it called when a constant and variable are combined (math)

Answers

Answer:

a 'term'

Step-by-step explanation:

3r means the constant 3 multiplied by the variable 'r'

Gloria deposited $500 into a bank account that earned 7.5% simple interest each year. She earned $225 in interest before closing the account.

No money was deposited into or withdrawn from the account.

How many years was the money in the account?

Round your answer to the nearest whole year.

Answers

Answer:

6

Step-by-step explanation:

7.5 % × 500 = 37.5

37.5 × 6 = 225

Answer:

6

Step-by-step explanation:

Show the solution and answer

(3x + 5)(x - 9)

Answers

3x^2 -27x +5x -45

Answer : 3x^2 -22x -45
You basically cross multiply each term by the opposing one, so 3x times x would be 3x^2 , 3x times 9 would be -27x, 5 times x would be 5x, and 5 times -9 would be -45 :)

what is.
m + 0.6 = 2.6

Answers

Answer:

m is 2 because 2.6 - 0.6 = 2 . so 2 is the answer

I need help ASAP
please and thank you
what's the value of k?

I need help ASAPplease and thank youwhat's the value of k?

Answers

Answer:

29

Step-by-step explanation:

You can see the 2 angles together create a straight angle which is 180 degrees.

(5k-3)+(9+k)=180

6k+6=180

6k=174

k=29

Using the graphing function on your calculator, what is the solution to the system of equations show below?
y + 2x5
4y+ 5x = 14
A. x=2, y=1
B. More than 1 solution
C. x= 1, y = 2
D. No solution

Answers

Answer:

ima redo my answer but

Step-by-step explanation:

For y +2x5 is that an times sign or wht cause i can't answer that unless thats cleared up first

Given the function r(x)=x−4x 9, find the values of x that make the function less than or equal to zero. write the solution in interval notation.

Answers

Inequalities help us to compare two unequal expressions. The solution that will make the value of the function r(x) less than equal to 0 is [3,∞).

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.


To find the value of x that will make the function r(x)=x-4x+9 less than or equal to 0 solve the inequality,

x - 4x + 9 ≤ 0

x - 4x ≤ -9

-3x ≤ -9

x ≥ (-9)(-3)

x ≥ 3

Hence, the solution that will make the value of the function r(x) less than equal to 0 is [3,∞).

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find sin 75 without using a calculator

Answers

The value of sin 75 without using a calculator is 1/4(√2 +√6)

Finding sin 75 without using a calculator

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

sin(75)

This can be expanded as

sin(75) = sin(45 + 30)

Using the sine rule, we have

sin(75) = sin(45)sin(30) + cos(45)cos(30)

Evaluate the trigonometry ratios

So, we have

sin(75) = √2/2 * 1/2 + √2/2 * √3/2

So, we have

sin(75) = √2/4 + √6/4

Evaluate the sum

sin(75) = 1/4(√2 +√6)

Hence, the value is sin(75) = 1/4(√2 +√6)

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Question 1
Find the slope of the line that passes through the pair of points.
(-8, – 15), (-2, 5)

Answers

Answer:

The slope of the line will be 3.33

Question 1Find the slope of the line that passes through the pair of points.(-8, 15), (-2, 5)

Answer:

20/6

Step-by-step explanation:

To find slope, use  \(m= \frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

(-8, – 15), (-2, 5)

x1       y1    x2   y2

*Remember, negative times negative equals positive*

\(\frac{5-(-15)}{-2-(-8)}\) = \(\frac{20}{6}\)

Hope this helps!

A tree that is 8 feet tall is growing at a rate of 1 foot each year. A different tree that is 10 feet tall is growing at a rate of 1/2 foot each year. Find how many years it will take for the trees to be the same height. ​

Answers

Answer:

it will take 4 years

Step-by-step explanation:

tree one: 8+1= 9,10,11,12

tree two: 10+.5= 10.5,11,11.5,12

Need help explain to me

Need help explain to me

Answers

9514 1404 393

Answer:

  A) (20 miles)/(1 gallon) = 20 miles per gallon

  B) 20/1 = 20

Step-by-step explanation:

After you read the problem statement and identify the questions being asked, it is a good idea to look carefully at the given information. Graphs A and B are identical in every way.

The vertical axis is labeled "y" and "Distance (miles)". The horizontal axis is labeled "x" and "Gallons". The graph starts at (0 gallons, 0 miles) and goes through points on the grid that are 2 squares up for each 1 square to the right. Each square up represents 10 miles. Each square to the right represents 1 gallon.

__

A) Pick two points on the graph. It is usually convenient to choose points where the graph crosses grid intersections. It is often convenient to choose one of them as (0, 0) if that point is on the graph (it is). I expect it to be convenient to choose the second point as (1 gallon, 20 miles).

The change in distance between the point (0 gallons, 0 miles) and (1 gallon, 20 miles) is (20 miles) - (0 miles) = 20 miles.

The change in gallons between the point (0 gallons, 0 miles) and (1 gallon, 20 miles) is (1 gallon) - (0 gallons) = 1 gallon.

The ratio of these changes is (20 miles)/(1 gallon) = 20 miles per gallon.

__

B) We can use the same two points. Here, we basically ignore the units.

Change in y = 20-0 = 20.

Change in x = 1 -0 = 1.

Slope = 20/1 = 20.

_____

Additional comment

For many problems, I find it convenient to keep the units with the numbers. Making sure the units work out properly is called "units analysis." Doing that can save you from a number of mistakes where units are involved.

Units can be treated just like a variable--multiplied, divided, raised to a power, cancelled from fractions. And, like with variables, terms can only be added or subtracted if they have the same units.

Here, we have ...

  \(\dfrac{\text{change in distance}}{\text{change in gallons}}=\dfrac{20\text{ miles}}{1\text{ gallon}}=\dfrac{20}{1}\times\dfrac{\text{miles}}{\text{gallon}}=20\text{ miles per gallon}\)

Note that "divided by" and "per" mean essentially the same thing in this context.

As you can see from the work done with Graph A, the slope of the line has units that are the ratio of the units of the y-axis to the units of the x-axis. (miles/gallon) Even though in Graph B, we write the slope as 20 without any units, it will only make any sense to use that number where units of miles/gallon make sense.

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