Given ∠ABC is a right angle. Prove ∠1 and ∠2 are complementary.
Write a two column Proof.

Answers

Answer 1

m∠ABC = 90 degrees
m∠1 + m∠2 = m∠ABC
Use transitive property of equality
m∠1 + m∠2 = 90 degrees.
According to the definition of complementary angles, ∠1 and ∠2 must be complementary.

Have an awesome day! :)

Related Questions

You need to haul a load of patio bricks to a job site. Each brick weighs 4 pounds 14 ounces. Your truck can carry a 3/4-ton load. How many bricks can your truck carry in a full load?

Answers

Convert "3/4 ton" into pounds. Use the identity 2000 lb = 1 ton.
2000 lb 1500 lb
Then [(3/4) ton] * ---------------- = ----------------
1 ton 1

Now divide 1500 lb by 4 lb 14 oz. Note that 4 lb 14 oz = 4 14/16 lb, or
4 7/8 lb, or 4.875 lb.

Then, divide 1500 lb by

4.875 lb
------------ to determine the number of bricks the truck can safely carry.
1 brick

This comes out to 1500/4.875 bricks, or approx. 307 bricks.

A 1.5 lb package of seedless grapes costs $3.81. Round to the nearest
hundredth of a dollar. Find the unit price

Answers

A unit price of an object is simply the ratio of the total price of the object over the total mass, hence:

unit price = total price / total mass

unit price = $3.81 / 1.5 lb

unit price = $2.54 per pound

Answer:

$2.54

Final answer:

The unit price of the seedless grapes is calculated by dividing the total cost ($3.81) by the weight (1.5 lb), resulting in a unit price of $2.54 per pound.

Explanation:

To find the unit price of seedless grapes, you divide the total cost of the package by the weight of the package. If 1.5 lb of grapes costs $3.81, you would calculate the unit price by doing the following:

Divide $3.81 (total cost) by 1.5 lb (total weight).

The unit price is $2.54 per pound ($3.81 ÷ 1.5 lb = $2.54).

The unit price is helpful for comparing costs of similar products and making informed shopping decisions. Unit prices are displayed in stores to assist consumers with these comparisons.

1 and 20 are alternate exterior angles true or false

Answers

They are alternate exterior angles. 1 is on the left side of the line and 20 would be on the opposite side of the line since 10 is.

what is the structure of a poem

Answers

POETRY'S STRUCTURE AND FORM. POETRY'S RHYTHM. Rhythm gives a poem its sound, and there are many different ways that rhythm is used, and lots of elements in poetry that are related to rhythm. Stress / Accent A line of poetry is filled with syllables. When a syllable is given emphasis, it is called a stressed syllable.

Answer:

Poems are mostly written in lines and stanzas but it doesn't necessarily have a specific structure as such.

Explanation:

Structuring of a poem can be in multiple ways and there are no hard and fast rules. Though it is written in lines and stanzas, aside from that, there is no definite rule for writing a poem. Depending on the type of poem you are planning to write, it is required to try to follow the characteristics of the certain genre. For e.g, a sonnet is a fourteen line poem while an epic will deal with heroes, the free verse will be written in the author's own way, how long the lines will be or what shape it will take etc all depending on the writer. In short, the length of the line, the breaks, arrangement, rhythm or speed all depend on the content of the poem, and what it is about. Structure of a poem will all vary, depending on the type of poem written. So, to conclude, there is just no particular solution for writing a poem. It can be written in whatever way the writer wishes to, except that depending on the type of poetry s/he decides to write, it will have to follow the corresponding genre of that poetry.

Suppose the pattern 8, 16, 24, 32, ... is continued forever. Will the number 174 appear in the pattern? Why or why not?

Answers

no, because 32 * 2 = 64 and 64 * 2 = 128.
8 * 5 = 40
40 + 128 = 168
168 + 8 = 176

174 will not appear in the pattern 8, 16, 24, 32,

The given pattern 8, 16, 24, 32, ... is an arithmetic sequence where the first term (a) is 8 and the common difference (d) is 8.

We can use the formula for the nth term of an arithmetic sequence, which is:

an = a + (n-1)d

To find out if 174 is in the sequence, we set an to 174 and solve for n:

174 = 8 + (n-1)8

174 = 8 + 8n - 8
174 = 8n
n = 174 / 8
n = 21.75

Since n must be an integer for 174 to appear in the sequence, and 21.75 is not an integer, 174 will not appear in the pattern.

Two factors are multiplied and their product it 34.44. One factor is a whole number. What is the least number of decimal places in the other factor. Explain.

Answers

The answer is 2, because if a number is a whole number, for example 2, you must multiply it by a number with 2 decimals, in this case 17.77, to get 34.44 based on this example.

*There are some cases where this doesn't apply, I think, but it does apply for your question.

The number of decimal places is the count of numbers after the decimal point in a decimal number. The least number of decimal places of the decimal factor is 2.

Let the factors be x and y; where:

[tex]x \to[/tex] whole number

[tex]y \to[/tex] number with decimal

The possible products that give 34.44 are represented as:

[tex]x \times y = 34.44[/tex]

So, we have:

[tex]2 \times 17.22 = 34.44[/tex]

[tex]3 \times 11.48 = 34.44[/tex]

[tex]4 \times 8.61 = 34.44[/tex]

[tex]5 \times 6.888 = 34.44[/tex]

[tex]6 \times 5.74 = 34.44[/tex]

And so on....

From the above computation, we have the decimal places of factors that represent y to be:

2 decimal places; i.e. numbers like 17.22, 11.483 decimal places; i.e. numbers like 6.888

By comparing the decimal places of these two factors, we can conclude that the least number of decimal places is 2.

Answers

17 + 14 = 31

There are 31 summer sports.

31 - 17 = 14

this is a very easy question. There are 14 winter sports. And this is 17 less than summer sports. So what we would do to find the answer is add 17 to 14 which would equal 31. So the answer is 31. Let me know if you need any more help :D

Freida friendly works for a local car dealer ship. She noticed that 3/4 of the cars are sedans and that half of them are white. What fraction of the dealership cars are white sedans?

Answers

3/8 of the cars are white sedans, or 37.5%
If 3/4 of the cars are sedans, and half of the 3/4 of the cars in the dealership are specifically white sedans, you can find the fraction of cars that are sedans by cars that are white sedans to find the fraction of dealership cars that are white sedans.
3/4 x 1/2 = 3/8.

Artesia found a sale on skates. She got 1/5 off the regular price of $34.50. What was the sale price of her skates?

Answers

The sale price is $27.60

A single cell can either die, with probability .1, or split into two cells, with probability .9, producing a new generation of cells. Each cell in the new generation dies or splits into two cells independently with the same probabilities as the initial cell. Find the probability distribution for the number of cells in the next generation.

Answers

Final answer:

The probability distribution for the number of cells in the next generation is that there is a 0.1 probability of having zero cells if the original cell dies and a 0.9 probability of having two cells if the original cell splits and both daughter cells survive.

Explanation:

To find the probability distribution for the number of cells in the next generation, we analyze the outcomes of a single cell which can either die with a probability of 0.1 or split into two cells with a probability of 0.9. Since each cell behaves independently, we use the product rule of probability for each scenario.

There are two possible outcomes for a single cell:

The cell dies (probability 0.1)The cell splits into two cells (probability 0.9).

If the initial single cell splits, the next generation will consist of two cells. These two cells will then independently either die or split with the same probabilities as mentioned above. The probability distribution for the number of cells in the next generation is therefore:

Zero cells: This only happens if the initial cell dies, which has a probability of 0.1.One cell: This cannot happen because a cell either dies or splits into exactly two cells.Two cells: This occurs if the initial cell splits and neither of the two new cells dies, which has a probability of 0.9 (since we assume that the probability of both of the daughter cells surviving and splitting is included in the 0.9 probability).

Here, the sum of these probabilities adds to 1, meaning no other outcomes are possible within the scope of this single-generation model.

Define the term family therapy

Answers

family therapy, also referred to as couple and family therapy, marriage and family therapy, family systems therapy, and family counseling, is a branch of psychotherapy that works with families and couples in intimate relationships to nurture change and development. It tends to view change in terms of the systems of interaction between family members. It emphasizes family relationships as an important factor in psychological health.

Graph the line for y − 6 = −4(x+2) on the coordinate plane.
What are the points I would graph???

Answers

First graph (-2,6)
Then from that point count 4 spaces up and one to the left—that is the second point

y=2x+4

The y-intercept is 4.

The x-intercept is -2.

The slope is 2.

The point (2,-6) runs through the line.

What is 100-30÷5 value 14

Answers

[tex] 100-30\div5[/tex]

[tex]\text{Simplify 30 divided by 5 to 6}[/tex]

[tex]100-6 = 94 [/tex]

The planet mercury is roughly 2 over five the size of earth. Write down the fraction as a decimal

Answers

2/5 is the fraction and .4 is the decimal

Mr. Rao buus a computer, a printer and a scanner for $2543. The computer costs $1502 more than the printer. The printer costs $123 more than the scanner. How much does Mrs. Rao pay for the computer?

Answers

1) total $ = 2543
2) x -> printer y-> computer z -> scanner
3) y = x + 1502
4) x = z + 123 -> x - 123 = z
5) 2543 = (x + 1502) + (x - 123) + x
6) 2543 = x + 1502 + x - 123 + x
7) 2543 = 3x + 1379
8) 2543 - 1379 = 3x
9) x = 388$
10) y = x + 1502
11) y = 1890$

computer costs 1890$

You talk to a friend who lives in a different state. She tells you that today it is 12° below zero where she lives. You tell her it is 54° where you live. What is the difference in temperatures?

Answers

friend = -12°C
you = -54°C

difference = 54 - 12
= 42 degrees.

12 degrees below zero tells you we have a negative number, -12. The word "Difference" means we are subtracting. So your equation will be 54 - (-12). Two minuses/negatives back-to-back turn into a plus so the equation is now 54 + 12 = 66.

There is a 66 degree difference in temperatures assuming the temperatures given are using the same units (I mean one is not Celsius and the other Fahrenheit).

Solve for x. The triangles in each pair are similar. Triangle CBA is similar to Triangle VUT.

Answers

x=44.3
((-176+10x)/216)=(121/99) and solve for X

2(10.7r - 9.5) = 33.8 rounded to the nearest tenth

Answers

2(10.7r - 9.5) = 33.8

10.7r
this means the number is times a variable.

10.7r - 9.5 = 1.2r

2 x 1.2r = 33.8, so we need to find the value of the variable for 1.2r

the variable that makes sense to me would be approx.14.085, so 1.2r x 2 = approximately 33.8 if you round 14.085 to the nearest tenth.

so I would say it is 14.1. hope I helped you :)

32 I think is rounded to the nearest tenth, because the answer is all ready in tenths, so no other way but to round up.

Ethan's taxable income is $87,525. Use this tax schedule to calculate the total amount he owes in taxes. $10,425.75 $18,617.75 $26,123.75

Answers

Answer:

$18,617.75

Step-by-step explanation:

$87,525-$77,100=$10,425 (the amount over $77,100)

$10,425 x .28=$2,919 (the 28% taxed amount over $77,100)

$2,919+$15,698.75 (the already taxed amount in the chart)=$18,617.75

What is the value of b in -3b+5=13

Answers

The value of "b" would be -8/3. This is a two steps equation which can be solves by two steps, adding or subtracting, and multiplying or dividing, in this case, it's going to be subtracting and dividing. First of all, you need to get the
"b" value by itself, so subtract 5 from both side, which will left you with -3b=8. Then, all you need to do left is divide, in this case, you going to divide -3 from both sides, and b is equal to -8 over 3, or b=-8/3.

Hope this help you.

Which of the following expressions is equal to 5 - 2m?

7 - 2(m + 1)
7 - (2m - 5)
7 - 2(m - 2)

Answers

Alright, I'm pretty sure I can help.

Let's look at the first answer choice.

7 - 2 (m + 1)

Distribute -2 and add the remaining numbers to get the total for that answer choice.

7 - 2m - 2

Simplify. You get 5 - 2m.

Looks like we found the answer on the first choice!

The Final Answer is 7 - 2 (m + 1)

Your answer would be the first one 7 - 2(m+1)

yuna missed Five Points out of 100 points on her math test what decimal number represents the part of her math test that she answered correctly

Answers

The number that represents what she got correct is 0.95, because 100-5=95, and because that the number will be 0.95, if she had gotten all correct the number would have been a full 1

THE answer would be .95 because 100 - 5 = 95 or 95/100 = .95.

Use the data set to answer the question. Correct value: 27 Data set: 19, 31, 22, 28, 24 Which best describes the data set?

Answers

Final answer:

The dataset shows moderate variability around a median of 24. The mean is 24.8, the mode is not available, and the range of the data is 12.

Explanation:

To describe the given data set: 19, 31, 22, 28, 24, we need to analyze several statistical measures including mean, median, mode, range, and possibly standard deviation.

First, let's calculate the mean which is the total sum of the data points divided by the number of points. Therefore, (19+31+22+28+24)/5 = 24.8

Next, the median is the middle term when the data is written in ascending order. In this case, 24 is the median as it is the middle value.

This data set has no repeating numbers hence there is no mode.

The range tells us the spread of the values, determined by subtracting the smallest value from the largest. Therefore, 31( largest) - 19(smallest) = 12.

Without further data, standard deviation is impractical to calculate. Based on the numbers we do have, this dataset appears to have somewhat moderate variability and a median value of 24.

Learn more about Data Analysis here:

https://brainly.com/question/31451452

#SPJ12

Manny drove 45 miles in 0.75 hours. What was the average rate that he drove in miles per hour

Answers

Manny drove 70 Because if 0.75 is 45 add 25 for example u a quater and u got only 3 and they want for how many u have too add More 1 quater more that 25 Cents so then u get the 45 + 25 = 70 !!!

Solve for the variable c in this equation a(c + b) = d
a. c=d-ab/a
b. c=ab-d/a
c. c=d+ab/a
d. c=d-ab\b

Answers

Multiply everything in the parenthesis by a.

ac + ab = d

Subtract ab from both sides.

ac = d - ab

Divide a on both sides.

c = d - ab / a

Hope this helps!

Answer:

c = d - ab / a

Step-by-step explanation:

hope this helps

davids math grades are 85 49 67 and 83 on 4 tests. what grade must he earn on the next test to have a mean of 75

Answers

He must earn a 91
85+49+67+83+91=375
375/5=75

The speed limit is 35 MPH. What is the translation?

I NEED IT NOW

GO GO GO GO

Answers

Miles Per Hour is the translation

The speed limit of 35 mph translates to approximately 56.327 km/hr.

The translation of the car's speed from kilometers per hour to miles per hour is as follows:

12 hours ago: 1 km/hr = 0.621371 miles/hour

4 hours ago: 30 km/hr = 18.6411 miles/hour

1 hour ago: 100 km/hr = 62.1371 miles/hour

15 minutes ago: 350 km/hr = 217.479 miles/hour

6 minutes ago: 1000 km/hr = 621.371 miles/hour

3 minutes ago: 3000 km/hr = 1864.11 miles/hour

Now: 20,000 km/hr = 12427.4 miles/hour

The speed limit of 35 mph translates to approximately 56.327 km/hr. The car is currently exceeding the speed limit.

What is the value of x?
A.35
B.60
C.155
D.25

Answers

For this question, since there is 180 in a triangle, subtract 60+85 to get A.35

Answer: the answer is 35 degrees

Step-by-step explanation:

Find the value of the point on the number line.

is it
3/10
2/9
2/8
or
3/8
please help
thank you so so so much

Answers

2/8 is the correct answer.

For this question you need to calculate the fractions and understand the decimals or whole numbers (integers). When I was in middle school we always square rooted it, you can use your calculator if you like... but you can also divide the numerator by the denominator.. even though those are two different things, that's what my mathematics teacher taught us from a long time ago. That's my best advice, and then link it to the point. But you have to calculate each and everyone unless you know that fraction's decimal by heart.

2n+8n=-60

help Noelie please help babes show work

Answers

2n + 8n = -60

10n = -60

10n/10 = -60/10

n = -6

hope this helps

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Given ∠ABC is a right angle. Prove ∠1 and ∠2 are complementary. Write a two column Proof.

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Given ∠ABC is a right angle. Prove ∠1 and ∠2 are complementary.
Write a two column Proof.