which postulate proves these two triangles are congruent

Which Postulate Proves These Two Triangles Are Congruent

Answers

Answer 1

The given triangles are congruent by SAS criteria.

What are congruent triangles?

Congruent triangles have both the same shape and the same size.

Given are two right angled triangles as shown in the image.

In the right angled triangles -

Two corresponding sides are equal.

They both have one right angle common.

We can conclude them as congruent by SAS Rule.

Therefore, the given triangles are congruent by SAS criteria.

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Related Questions

11,778 divide 26
Show work pls

Answers

Answer:

453

Step-by-step explanation:

To perform long division of 11,778 by 26, we follow these steps:

452

_____

26 ) 11,778

-104

------

157

156

----

21

Therefore, 11,778 divided by 26 is equal to 452 with a remainder of 21.

Hope this helps <3

Please give me Brainliest :)

See image for question. Please show workings.​

Answers

Answer:

14.3 years

Step-by-step explanation:

The average age of 18 girls is 12.

Total age of girls:

18*12 = 216

The average age of 15 boys is 17

Total age of boys:

15*17 = 255

Total age of children:

216 + 255  = 471

Total number of children:

18 + 15 = 33

Average age of children:

471 / 33 = 14.3 (rounded)

Share $60S in the ratio 4:5:7:

Answers

Answer:

15:18.75:26.25

Step-by-step explanation:

4:5:7

Total=16

60/16 = 3.75

4 x 3.75 = 15

5 x 3.75 = 18.75

7 x 3.75 = 26.25

15:18.75:26.25

Answer: $15 : $18.75 : $26.25

Step-by-step explanation:

4 + 5 + 7 = 16

4/16 × $60 = $15

5/16 × $60 = $18.75

7/16 × $60 = $26.25

6. Find the quotients.
a. 0.024 ÷ 0.015
b. 0.24 0.015
c. 0.024 ÷ 0.15
d. 24 ÷ 15

Answers

Answer:

a. 1.6

b. 16

c. 0.16

d. 1.6

A newsletter publisher believes that more than 47% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?

Answers

There is no sufficient evidence at the 0.05 level to substantiate the publisher's claim

How to determine the substantial claim?The parameters for the claim is more than 47% of their readers own a personal computer0.05 level of significance

Note that the significance level, also known as alpha or α, is a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant

In conclusion, the advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%

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Two consecutive numbers with a sum of 775. What is the value of each of the two numbers?

Answers

Answer:

387 and 388

Step-by-step explanation:

775 / 2 = 387.5

387 and 388

anna bought 20 christmas raffle tickets in her school. Her school sold 1500 tickets in all. What is the probability of the winning chances of anna?

Answers

20/1500 = 0.013333

0.0133 x 100 = 1.33

ANSWER: 1.3%

The probability of Anna winning chances of buying 20 ticket out of 1500 tickets is  0.013.

What is probability?

Probability simply means possibility. It deals with how likely something is to happen.

Therefore,

p(A) = number of favorable outcomes to A / total number of outcome

Hence,

Number of ticket bought by Anna = 20

Total ticket sold = 1500

Therefore,

probability of the winning chances of Anna = 20 / 1500

probability of the winning chances of Anna = 2 / 150

probability of the winning chances of Anna = 1 / 75

probability of the winning chances of Anna  = 0.013

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A 15 m pole is leaning against a wall. The foot of the pole is 10 m from the wall. Find the angle the pole makes with the ground.

Answers

Answer:

∅ ≈ 48.2º

Step-by-step explanation:

cos∅ = adj/hyp = 10/15 = 2/3

Therefor

∅ = arccos 2/3

use calculator

∅ = 48.189685104221402

∅ ≈ 48.2º

Find the equation of a line that passes through the points (-1,-5) and (-3,-4). Leave your answer in the form y=mx+c

Answers

Answer:

y = -1/2x - 11/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-5) / -3 - (-1)

1/ -2

= -1/2

y = -1/2x + b

-5 = -1/2(-1) + b

-5 = 1/2 + b

-11/2 = b

300 g of an unknown radioactive substance decays to 112 g after 180 seconds. What is the half-life of this substance?


ight now that the noobs are gone, any late nigh peeps still awake?

Answers

Answer: 2.1 minutes

Explanation:
The half-life equation states that,
A=A0⋅(1/2)t/t0.5
A0 is the initial amount of substance
t is the time
t0.5 is the half-life of the substance

Graph the line with 1 passing through the point (3, -4)

Answers

Answer:y=1x-7

Step-by-step explanation:

Is Y =- 2 vertical or horizontal?

Answers

y = − 2 is a horizontal line that crosses the -axis at -2.

Now, According to the question:

Let's know:

What is Horizontal lines?

If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.

The given equation is Y = -2

y = 2 is a horizontal line that crosses the -axis at 2.

=>  y = − 2 is a horizontal line that crosses the -axis at -2.

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A yearbook page will show 20 photos displayed in rows. Each row must contain the same number of photos. How many different ways can the photos be arranged?

Answers

A traditional yearbook should have a few pages for the school's administrators, faculty, and other staff members, class or student portraits, several pages for clubs, teams, or other group photos, a section for special awards & superlatives, event pages typically with a collage of school events, and graduating class.

What pages are in a yearbook?

Despite possible differences in size and appearance, school yearbooks all have a similar structure and content makeup. A school yearbook is essentially a "memory book" that emphasizes the pupils, teachers, and activities that took place during the academic year.

Additionally, yearbooks give kids the chance to request the autographs of their friends and professors and give them a place to write personal notes, "inside jokes," and other remarks. Overall, a yearbook gives students a tangible memento of the academic year.

The only thing we are doing is dividing if we require that all of the rows be equal.

20/1= 20

20/2= 10

20/4=5

20/5=4

20/10=2

20/20=1.

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Which segment is the shortest?​

Answers

the smallest angle will yield the shortest opposite side, likewise the largest angle will yield the largest side, Check the picture below.


35x+60y>(or equal to)7,000
Solve for x and y

Answers

For this question u have to assume value of either x or y

For example

to find the value of x

side calculation (7000/35 = 200)

let x = 200

then 35(200) +60y = 7000

7000 + 60y = 7000

60y = 7000-7000

so y = 0

so value of x should be greater than or equal to 200

x >(or equal to) 200

to find the value of y

side calculation ( 7000/60 = 116.67)

let y = 116.67

then 35x + 60(116.67) = 7000

35x + 7000 = 7000

35x = 7000-7000

35x=0

so x = 0

so the value of y should be greater than or equal to 116.67

y >( or equal to 116.67)

if pam makes 250 dollars from making 15 pots, what is her piece rate?

Answers

Pam's piece rate is $16.67 for every pot she produces.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Pam's piece rate is the amount of money she earns for each pot she makes. In this case, she earned $250 for making 15 pots, so her piece rate is:

$250 ÷ 15 pots = $16.67 per pot

Therefore, Pam earns $16.67 for each pot she makes. This is a way of calculating her pay based on the number of units she produces, rather than by the hour.

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7.) On Monday the rate for a hotel suite is $299.00 a night plus 6% tax. That same room rents for $349.00 plus 6% tax on a Friday. What is the difference in costs including tax between the two nights?​

Answers

Answer:

The difference in costs including tax between the two nights is $53

Step-by-step explanation:

To find the cost of the hotel suite on Monday including tax, we first calculate the amount of tax by multiplying the room rate by 6% (0.06):

$299.00 * 0.06 = $17.94

So the total cost of the room on Monday including tax is:

$299.00 + $17.94 = $316.94

Next we find the cost of the hotel suite on Friday including tax:

$349.00 * 0.06 = $20.94

So the total cost of the room on Friday including tax is:

$349.00 + $20.94 = $369.94

Finally, to find the difference in costs between the two nights, we subtract the cost of the room on Monday including tax from the cost of the room on Friday including tax:

$369.94 - $316.94 = $53

The difference in costs including tax between the two nights is $53.

Answer:

The difference in costs including tax between the two nights is $53

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

The cost x including a 6% tax is:

x + 6% =x + 0.06x = 1.06x

The difference in costs including tax is:

349*1.06 - 299*1.06 = (349 - 299)*1.06 = 50*1.06 = 53

SHOW WORK PLEASE
This is urgent I need help please please please

Answers

Answer:

2.91 units

Step-by-step explanation:

If and only if this is a right triangle, we can apply the some fimctopm to determine the length of side BD:

                              side BC

tan 20 degrees = ---------------

                                    8

or side BC = 8 tan 20 degrees.  Since tan 20 degrees = 0.364 radians,

side BC has length 8(0.364) = 2.91 units

|a-5|, if a>5

Please help me

Answers

Answer:

answer is just a-5

Step-by-step explanation:

its is a-5 without absolute value

1203 convert binary into decimal​

Answers

I think it would be 12.03

Answer:

decimal: 10010110011

Step-by-step explanation:

Pllease help with this sheet I'll give brainliest! NO LINKS I will report if so!​

Answers

Answer: 700

Step-by-step explanation: at the bottom it shows the days and the top it shows how many cookies she ate so if you go up and stop at 7 it will be 700

The table below shows the number of animals at a local petting zoo.
Animal
Goats
Number
3
Ponies
3
Rabbits
8
Sheep
6
Write the ratio of ponies to sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, if
possible.

Answers

Answer:

1/2

Step-by-step explanation:

You are comparing ponies to sheep, so you put the ponies on top(3)

and the sheep on the bottom(6)

3/6 reduces to 1/2

Four students are in the final rounds of a chess tournament. Based on their chess rankings, Gloria is twice as likely as Devon to win. Devon is twice as likely as Janet to win. Janet is just as likely as Harry to win. Create a table of fractional probabilities of winning for the four-person sample space.

Answers

need pointz

Step-by-step explanation:

Find the explicit formula for an arithmetic sequence with a common difference of 8 and whose first term is -2.

Answers

The explicit formula of the sequence is aₙ = -10 + 8n

How to determine the explicit formula of the sequence?

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

The first term and the common difference

These values of the first term and the common difference are given as

First term = -2

Common difference = 8

The interpretation of the above sequence is that the 8 is added to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ = aₙ₋₁ + 8

When represented explicitly, we have

aₙ = a + (n - 1) * d

Where

a = -2 and d = 8

Substitute the known values in the above equation, so, we have the following representation

aₙ = -2 + (n - 1) * 8

Evaluate the products

aₙ = -2 + 8n - 8

Evaluate the like terms

aₙ = -10 + 8n

Hence, the explicit formula is aₙ = -10 + 8n

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heeeeeeeeeelp meeeeeee

Answers

Answer:

81

Step-by-step explanation:

Find out the percentage of people who had mispriced item.

3/50 = 0.06

6% of people had mispriced items.

Find 6% of 1,350.

81

81 people would have mispriced items.

Answer:

81

Step-by-step explanation:

I did this by doing 1,350 ÷ 50, which gave me 27. I then did 27 times 3, the average amount of people with a mispriced item per 50 people, which gave me 81 as a result. And with that, I can conclude that you would expect there to be 81 people per day who have a mispriced item.

3x + 50 = 5x - 2

Find x

Answers

Answer:

50=2x-2

52=2x

26=x

hope this helps

have a good day :)

Step-by-step explanation:

In triangle JKL, tan(bº) = 3/4

and sin(bº) = 3/5. If triangle JKL is dilated by a scale factor of 3, what is cos(bº)?


Answers

If triangle JKL is dilated by a scale factor of 3,cos(bº)=4/5.

Define trigonometric ratio.

Trigonometric By definition, ratios are the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Why trigonometric identities are used?

If you know the lengths of two of the triangle's sides, you can use trigonometric ratios to get the measurements of one (or both) of the acute angles.

tan(b)=P/B=3/4

sin(b)=P/H=3/5

cos(b)=B/H= To find

B=4, H=5

cos(b)=4/5

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What is the answer of 7 to the power of 2?

Answers

The answer to 7 to the power of 2 is 49.

This is because when a number is raised to a power, it means that it is multiplied by itself that number of times. 7 to the power of 2 is 7 multiplied by itself 2 times, which is 7 x 7, which equals 49.

An expression known as "power" denotes the process of repeatedly multiplying a value or integer. An is often a power where n is the exponent and an is the base.

As an illustration, the power 63 demonstrates how three times the number 6 is multiplied.

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Is (-1, 0) a solution to this inequality?

Answers

Answer:

False

Step-by-step explanation:

y < -2x -2 Substitute in -1 for x and 0 for y and see if the statement is true.

0 < -2(-1) - 2

0 < 2-2

0 < 0  

This is a false statement.                                                                                                                                                                                                                                                                  

Answer: A / No.

Step-by-step explanation:

     We will substitute the point given, (-1, 0) and see if the inequality is true after simplifying.

     Given:

y < -2x - 2

     Substitue:

0 < -2(-1) - 2

     Multiply:

0 < 2 - 2

     Subtract:

0 < 0 ✗

     0 is not less than 0, so this point is not a solution.

Rectangle A is similar to rectangle B by scale factor r. The length of rectangle A is 1. 5r+2. 25 units. The length of rectangle B is 3 unite. What is the scale factor

Answers

The scale factor of the two rectangles is 1.5

Describe the rectangle.

According to Euclidean Plane Geometry, a rectangle is a quadrilateral with equal opposed sides and four right angles. In other words, a rectangle is a parallelogram with a right angle of 90 degrees or an equiangular quadrilateral (i.e., 360°/4 = 90°). A rectangle is referred to as a square if its four sides are all the same length.

The ratio of the matching side lengths of two comparable figures is known as the scale factor. We know that the ratio of the respective side lengths of the two rectangles equals equivalent to r since Rectangle A and Rectangle B are similar to one another by the scale factor r.

We can set up the following ratio to determine the scale factor if the lengths of rectangles A and B are 1.5r+2.25 units and 3 units, respectively.

(1.5r+2.25) / 3 = r

Solving for r, we get:

r = (1.5r + 2.25) / 3

multiply both sides of the equation by 3

3r = 1.5r + 2.25

Subtract 1.5r from both sides

1.5r = 2.25

divide both sides by 1.5

r = 2.25/1.5

r = 1.5

Therefore, the scale factor of the two rectangles is 1.5.

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