How does labeling the diagram help us show that we can use right triangle congruency (SAS in this case)?

Answers

Answer 1

Answer:

Step-by-step explanation:

S A S congruence rule: Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of other triangle.

If two triangles are congruent by SAS, and the angle is 90, then by CPCT{corresponding part of congruent triangle)  the hypotenuse of the two triangles will be congruent.

Now, as hypotenuse  and  one leg are congruent in both triangles, we can apply RHS congruent


Related Questions

Solve for y. 1) 5x + 4= - 4y​

Answers

Answer:

y = -5x/4 - 1

Step-by-step explanation:

What is the slope of y=250-5x

Answers

Answer:

Step-by-step explanation:

The slope of the line is -5, and the y-intercept is 250

What the person above me said

10 grade geometry, help me pleaseeeee

Answers

Answer:

Obtuse

Step-by-step explanation:

[tex]10^{2} > 3^{2} + 9^{2}[/tex]

Mathhhhhhhhh pls help

Answers

Answer:

vertically opposite angles

Step-by-step explanation:

PLS HELP
Identify the area of a regular hexagon with side length 17 in. rounded to the nearest tenth.

Answers

750.8 square inches

Answer:

750.8in squared

Step-by-step explanation:

The area of a regular polygon is one-half times the length of the apothem times the perimeter.

Notice that the formula combines the areas for the six triangles that fit inside the hexagon.

The perimeter is equal to the sum of the six triangle bases and the apothem is the height of each triangle.

The interior angles of the hexagon have a measure of 120°

, so the angles at the base of the triangle (and the third angle) have measure 60°

.The height forms a 30°−60°−90°

triangle, which has one leg equal to half of the hexagon side, or 8.5 in.

, and the other leg equal to 8.53–√ in

The figure shows a regular hexagon. Each angle of the hexagon measures 120 degrees. There is a triangle inside the hexagon. The base of the triangle coincides with one of the sides of the hexagon and one of the vertices of the triangle is the center of the hexagon. The length of the apothem is 8.5 times square root of 3 inches. The angles at the base of the triangle measure 60 degrees. The angle between the apothem and the side of the triangle measures 30 degrees. The apothem divides the base of the triangle into two parts. One of the parts is 8.5 inches long.

Find the perimeter of the hexagon.

P=6(17)

Simplify.

P=102in.

The formula for the area is A=12aP

. Substitute the known values and simplify.

A=12(8.53–√)(102)

=433.53–√in2

Round to the nearest tenth as 750.8 in

Therefore, the area of the regular hexagon with side length 17in.

is A≈7508. in2

.

In 2 mins., a conveyor belt moves 300 lbs. Of recycle aluminum from delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 18 mins. If both belts are used, find how long it takes to move the cans to the storage area

Answers

Answer:

1.8 minutes or 108 seconds

Step-by-step explanation:

The question tells us that the larger belt moves 300 lbs in 2 mins. And this is equal to 150 lb per minute

The question also tells us that a smaller belt moves the same quantity of 300 lbs in 18 mins. And this is equal to an average of 16.667 lb per min.

Both belts will move at a rate of 166.667 lb per min.

So it will take them 300 / 166.667 = 1.8 min or 108 s.

Therefore, the answer is 1.8 min

1.02 sinusoidal graphs

Answers

Answer:

The answer is 20

Step-by-step explanation:

The wave starts at the origin and doesn't complete the cycle until unit 20.

Answer:

[tex]\displaystyle 20[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2})} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{5} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{10}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\pi \\ Amplitude \hookrightarrow 1[/tex]

OR

[tex]\displaystyle \boxed{y = sin\:\frac{\pi}{10}x} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\pi \\ Amplitude \hookrightarrow 1[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = cos\:\frac{\pi}{10}x,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 5\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 5\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{5} = \frac{\frac{\pi}{2}}{\frac{\pi}{10}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-15, 1],[/tex]from there to [tex]\displaystyle [5, 1],[/tex]they are obviously [tex]\displaystyle 20\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 20.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Given the function f(x)= -3(x)^2 , find the value of f(4).

Answers

the value of f(4) would be -48

Step-by-step explanation:

f(x) = -3x²

f(4) = -3(4²)

= -48

you don't have to do all of them

Answers

Answer: lol your using canvas

1. 63

2. D

3. B

4. A

Sorry for the bland explinations havin a bad day.

Step-by-step explanation:

1. The way we solve this is by adding the degrees 72 and 45. then we subtract it by 180. this is because in all triangles the angles always add up to 180 degrees.

2. Like question one what set of angles measures to 180 degrees.

3. The sides of a triangle should define the angle measurements. you can also see if its a triangle if the numbers are continues like 3,4,5 or in this case 4,5,6

4. like in questions 1 and 2 the angles of a triangle has to equal 180 degrees so 60 times 3 is 180 so each angle would have to be 60 degrees.

4.
The number of hours h that it takes m men to assemble x machines varies directly as the number of
machines and inversely as the number of men. If four men can assemble 12 machines in four hours,
how many men are needed to assemble 36 machines in eight hours?

Answers

Answer:

5 men

Step-by-step explanation:

4m × 4h = 12

xm × 8h=36

x m = 4.5

A 20-N force acts on an object with a mass of 2.0 kg. What is the objects acceleration?

Answers

Answer:

10 N/kg

Step-by-step explanation:

F=ma

therefore,a=F/m

For rectangle ABCD, find m∠DEC.

Answers

What is the number ?

Mary wants to buy three tickets for a concert. She has
earned $135 and each ticket cost $50. She borrows the
rest from the bank and buys the tickets.

B) How much more money will Mary need to earn to pay
back the money she borrowed from the bank?

C) How much money will she have after she pays back
the loan she borrowed from the bank?

Answers

Answer: B: 15 Dollars

Answer: C: 0

B is the correct answer

JK is perpednicular to ML at its midpoint K. list the congruent segments

Answers

Answer:

MK KL JK All are congruent with each other due to the mid point splitting the segments in ML in half.

Step-by-step explanation:

Apply the distributive property to factor out the greatest common factor. 35+14=35+14=35, plus, 14, equals

Answers

Answer:

The greatest common factor is 7

[tex]35 + 14 = 49[/tex]

Step-by-step explanation:

Given

[tex]35 + 14 =[/tex]

Required

Apply distributive property

Express 35 as 7 * 5 and 14 as 7 * 2

[tex]35 + 14 = 7 * 5 + 7 * 2[/tex]

Apply distributive property

[tex]35 + 14 = 7 ( 5 + 2)[/tex]

The greatest common factor is 7

Solving further to get the solution

[tex]35 + 14 = 7 * 7[/tex]

[tex]35 + 14 = 49[/tex]

Answer:

7(5+2)

hope this helps <3

Bob, a lawyer, used to charge his clients $220 per hour Recently, he reconsidered his rates and ultimately decided to charge 30% more. Now how much does Bob charge per hour?

Answers

Answer:

The Poisson probability distribution gives the probability of a number of events occurring in a fixed interval of time or space if these events happen with a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on the average, there are five words spelled incorrectly in 100 pages. The interval is the 100 pages.

Answer:

$286 per hour

Step-by-step explanation:

first we have to find out what 30% of $220 is

we do this by multiplying $220 by 0.3

We get $66

then we add the markup value to the initial value

$66 + $220= $286

bob's a scu.mbag

hope this helps chu babe <3

2. How would you say 406,762?
Four hundred six thousand, seven hundred sixty-two
Four hundred sixty thousand, seven hundred sixty-two
Forty-six thousand, seven hundred sixty-two
Four thousand, six hundred seventy-two

Answers

Answer:

A- Four hundred six thousand, seven hundred sixty-two

Hope this helps!

Answer:

A. Four hundred six thousand, seven hundred sixty-two

Step-by-step explanation:

Sound out the number before the comma first:

You would read it as four hundred six, not four hundred sixty (That would mean 460 and not 406.)

Sound out the number after the comma next:

You would read that as seven hundred sixty-two.

So combine them to say:

four hundred six thousand, seven hundred sixty-two. Choose A

Maya is 14 years old. Her brother Jorge is 3 years more than half her age. Which of the following is the correct expression for Jorge's age?

(7 x 2) + 3
7 − (2 + 3)
(14 ÷ 2) + 3
14 ÷ (7 − 3)

Answers

The answer is C to get half of mayas age we first divide the 14 by 2 then we add the 3 and get our answer which is 10

Answer:

7 x 2 + 3 = 17

7 - 2 + 3= 8

14 ÷ 2 + 3 = 10

14 ÷ 7 - 3  - 1

Step-by-step explanation:

A square has one
side that measures
6 inches. What is
the perimeter of
the square?

Answers

Answer:

24 inches

Step-by-step explanation:

a square has 4 equal sides. if one side is 6, the rest of the sides are also six. perimeter is all the sides added. so 6+6+6+6, or 6*4, equals 24 inches as perimeter.

Figure with four equal sides and four right (90°) angles. If a square has one side that measures 6 inches then perimeter of square is 24 inches.

What is Square?

a  figure with four equal sides and four right (90°) angles.

We know that in a square all the sides will measure equal length. So the formula for  perimeter of square is P=4a or p equal to four times of a.

Where p is the perimeter and a is the measurement of a side.

It is given that measure of one side of square is 6 inches.

So value of a is 6.

Substitue the value of a in the perimeter formula.

Perimeter=4×6

When four is multiplied with six we get twenty four.

=24 inches.

Hence perimeter of the square with one side measure 6 inches is 24 inches.

To learn more on Perimeter of square click:

https://brainly.com/question/11495285

#SPJ2

What is the equation of the following line? Be sure to scroll down first to see
all answer options,
(0,0) (7,2)

Answers

y=2/7x is the correct answer

find the area of a circle with a circumference of 131.95

Answers

Answer:

A=1385.51

Step-by-step explanation:

A=pir^2

C= 2pir

A= C^2/4pi

131.95^2/4pi

A= 1385.51

Answer:

Step-by-step explanation:

complete the statement to describe the expression

Answers

if you had a phone you could download brainly and use a photo to search your answer

Step-by-step explanation:

Answer:

It has 4 factors and 2 terms

Step-by-step explanation:

The terms are the groups of parentheses and the factors are the variables that are inside the parentheses.I hope this helps!

The difference of a number and 4 is no more than 8

Can someone help!?

Answers

Considering the definition of an inequality, the number must be less than 12.

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, you know that the difference of a number and 4 is no more than 8.

Being "x" the number you want to know, and considering that the difference is the difference between two numbers or expressions, the inequality that expresses the previous relationship is

x - 4 < 8

Solving:

x < 8 +4

x < 12

Finally, the number must be less than 12.

Learn more about inequality:

https://brainly.com/question/17578702

https://brainly.com/question/25275758

https://brainly.com/question/14361489

https://brainly.com/question/1462764

Find the area of the shape.

Answers

Answer:

[tex] area \: of \: trapezium = \: \frac{1}{2} (a + b) \times h[/tex]

Therefore, 1/2 (9 +17)*8

Therefore, 1/2(26)*8

Therefore, 13*8

Therefore, 104

Your answer is 104ft²

Plz, help. What is the mode? ​

Answers

Answer:

None

Step-by-step explanation:

Mode is the number that repeats the most. All of these numbers are unique, and there is no repeats, therefore there is no mode.

Answer:

what do you mean do you just have to pic one of the answers that are not crossed

Step-by-step explanation:

Help brainy please help help help

Answers

Answer:y=-x

Step-by-step explanation:

PLEASE I NEED HELP ASAP

Answers

1. 15x
2. 21
3. 4
You’re welcome

WILL GIVE BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

JK is longer than JL and isn't 9 units long

A your mom is a good lady

the price of milk has increased in year from rs.28 per liter to rs.32 per liter . find the percentage increase in the price....

please answer soon I really need it​

Answers

Answer:

14.28%

Step-by-step explanation:

here's your solution

=> price of milk before = 28

=> price of milk after increasing = 32

=> increased in price = 32 - 28 = 4

=> now , increased percentage= 4/28*100

=> 14.28%

A rock is dropped down from the top of a​ 500-foot cliff. After 1​ second, the rock is traveling 32 feet per second. After 5 ​seconds, the rock is traveling 160 feet per second.
a. Assume that the relationship between​ time, t, and​ speed, s, is linear, and write an equation describing this relationship. Use ordered pairs of the form​ (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.

Answers

Answer:

A) s=32t

B) 224 ft/s

Step-by-step explanation:

A)

In the form (time, speed), the question gives us the following data: (1,32) and (5,160). Since we are told that the relationship between​ time, t, and​ speed, s, is linear, we know the equation will fit the formula y=mx+c, where m is slope c is the y-intercept and y and x are the co-ordinate values. Plug in (1,32) and (5,160) to find the formula:

y=mx+c

s=mt+c

32=1m+c

c=32-m

160=5m+C

160=5m+32-m

128=4m

m=32

c=32-m

=32-32=0

So our equation is s=32t

B)

s=32t

s=32(7)=224 ft/s

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