What information is needed in order to apply the hypotenuse-leg (HL) theorem

What Information Is Needed In Order To Apply The Hypotenuse-leg (HL) Theorem

Answers

Answer 1

Answer:

This theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent. ' This is kind of like the SAS, or side-angle-side postulate. But SAS requires you to know two sides and the included angle.

Step-by-step explanation:


Related Questions

Algebra 2 PLEASE HELP

Answers

Answer:

[tex]\frac{x+20}{x+4}[/tex]

Step-by-step explanation:

Can't cancel out terms like that

need to factor out the top and bottom

[tex]\frac{x^{2} +16x-80}{x^{2} -16}[/tex] = [tex]\frac{(x+20)(x-4)}{(x-4)(x+4)}[/tex]   now cancel out the (x-4) from the top and bottom

= [tex]\frac{x+20}{x+4}[/tex]

Answer & Explanation:

Error: individual terms in an equation in a fraction cannot be directly canceled out.

Correction:

the easy way (solve the quadratic equation in the numerator and complete the square in the denominator):

(x^2 + 16x - 80) / (x^2 - 16)

(x+20)(x-4) / (x+4)(x-4)

x+20 / x+4

the complicated way (manipulate the exponents and common factors):

(x^2 + 16x - 80) / (x^2 - 16)

(x^2 - 4x + 20x - 80) / x^2 - 2^4

x(x^2-1 - 2^2)+4*5(x - 2^4-2) / (x - 2^2)(x + 2^2)

x(x-4)+20(x-4) / (x-4)(x+4)

x(x-4)+(2^2 (5))(x-4) / (x-4)(x+4)

(x-4)(x + 2^2 (5)) / (x-4)(x+4)

(x-4)(x+20) / (x-4)(x+4)

x+20 / x+4

Rose is 5 years older than Milton. Rose's age is 10 years less than four times Milton's age. The system below models the relationship between Rose's age (r) and Milton's age (m): r = m + 5 r = 4m – 10 Which is the correct method to find Rose's and Milton's ages? Solve m + 5 = 4m – 10 to find the value of m. Solve r + 5 = 4r – 10 to find the value of m. Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis.

Answers

Answer:

It’s B

Step-by-step explanation:

I did this before and it’s B good luck

a storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet?

Answers

Answer:

1335.18

Step-by-step explanation:

V=π(d/2)2h

Answer:

1335.18

Step-by-step explanation:

V=π(d/2)2h

find the range of f(x)=2/5x + 5 for the domain (-4, -2, 0 3)
my answer is 3.4, 4.2, 5, 6.2 but im not fully sure

Answers

Answer:

Your answers are correct

Step-by-step explanation:

two points on a parabola are (-3,5) and (11,5) what is the equation of the axis of symmetry​

Answers

Answer:

I don't know how to do it the subject

which of the following equations has no solution? ​

Answers

Answer:

-2x^2 + 2x + 1

Step-by-step explanation: If you try to factorize, there are no solutions, and if you use the quadratic formula, you don't get 2 solution for x

the top one or the first one

Sarah competes in a long jump competition.
Her first jump is 4.25 m.
I
Her best jump is 12% more than this.
However, her best jump is 15% lower than the winning jump.
Work out the length of the winning jump.

Answers

How to find Sarah’s best jump:
First you multiply 4.25 by 12% (or 0.12) to get 0.51 meters.
4.25 + 0.51 = 4.76 meters. So her best jump is 4.76 meters.
How to find the winning jump:
Since her best jump is 15% less than the winning jump, it must be 85% of the winning jump (as in 85 is 85% of 100).
So you divide 4.76 by 85% (or 0.85) which equals 5.6 meters.
So, the winning jump was 5.6 meters.

If you need help calculating percentages, you can use this website:

https://www.skillsyouneed.com/num/percent-calculators.html

Hope this helps!

Mr. Frederick teaches 4 math classes. Which class period has the most students? Use the bar graph to answer the question.

Answers

Answer:

The class in the second and longest bar graph (the one labeled 3) has the most students.

Step-by-step explanation:

When looking for the largest amount of something in bar graphs, the largest bar graph is correct. In this case the second bar graph is the longest, and we can see it indicates the class contains 28 students.

Based on the two data sets represented below, complete the following sentences.
\text{DATA SET B}
DATA SET B
0
0
23
24
25
26
27
28
29
30
31
32
33
\text{DATA SET C}
DATA SET C
0
0
23
24
25
26
27
28
29
30
31
32
33

The median of Data Set B is
than the median of Data Set C. The minimum of Data Set B is
than the minimum of Data Set C.

Answers

Hey don’t go to the link

im need help please!!!

Answers

Answer:

The measure of the missing angle is 61

Step-by-step explanation:

Using the Consecutive Interior Angles theorem, you know that the angles are supplementary (meaning both angles combine to a 180* plane). Using that logic, you may subtract 119 from 180, and you get a 61* angle.

At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?

Answers

D. 3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots
hope this helps!:)

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Answers

Answer:

A

I’m pretty sure it’s A

Answer:

A, sure

mark me as brainliest plz

PLEASE HELP ME ANSWER QUICK!! (Volume)

Answers

Answer:

V = 50 m³

Step-by-step explanation:

The formula for the volume of a pyramid of base area b and height h is V = (1/3)(b)(h).

Here the volume is V = (1/3)(5 m)²(6 m), or V = 50 m³

A rectangular window is 3.5 feet wide and has an area of 19.25 square ft you have six yards of string light do you have enough string lights to outline the window with light

Answers

Answer:

yes

Step-by-step explanation:

We are to determine if 6 yards is enough t to go round the perimeter of the window

The length is not given, so we have to determine the length from the area

Area of a rectangle = length x breadth

19.25 = 3.5 x length

length = 5.5 feet

Perimeter = 2 x ( length + breadth )

2 x (5.5 + 3.5) = 18 feet

We need to convert the string to foot

1 yard = 3 foot

6 x 3 = 18 foot

the string and the perimeter are equal, so it is enough

Select all the TRUE sentences!!!

Answers

Answer:

The last two.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

A cylindrical gas tank holds approximately 401.92 cubic feet of fuel. The radius of the tank is 4 feet. Find the height of the tank in feet. Use 3.14 for π. PLEASE HURRY I NEED THIS

Answers

Answer:

8 ft

Step-by-step explanation:

Given:

Volume = 401.92

radius = 4 feet

Volume of cylinder: [tex]\pi[/tex]r^2h

3.14 * 4^2 * h = 401.92 cubic feet

3.14 * 16 * h = 401.92 cubic feet

50.24 * h = 401.92

h = 8 ft

To find the x-intercept, we let y = 0 and solve for x and to find y-intercept, we let x=0 and solve for y. Figure out the x-intercept and y-intercept in given equation of the line.
6x + 2y = 12

Answers

Answer:

x-intercept = 2

y-intercept = 6

Step-by-step explanation:

x-intercept:  6x = 12;  x = 2

y-intercept:  2y = 12;  y = 6

The school playing field is 300 meters. Our coach wants us to run three kilometers, how many times will we need to run around the field.

Answers

Answer:

10 times

Step-by-step explanation:

1km=1000m

3*1000=3000m

3000/300=10

you will need to run 10 times around the field

4. A local park with a small lake attracts Canada geese. Officials have kept
track of the population over time.
Year
Population
2001 2003 2005 2007 2009 2011 2013
26 42 68 98 122 166 210
please put it on the graph

Answers

Answer:

Step-by-step explanation:

Which of the following shows the polynomial below written in descending
order?

Answers

Answer:

A. 4x¹² + 9x⁷ + 3x³ -x

Step-by-step explanation:

Hi!

==================================================================

To write a polynomial in descending order, we write the terms with higher degrees, or exponents, first.

3x³ + 9x⁷ -x + 4x¹²

4x¹² has the highest degree, so it is written as the first term.

⇒4x¹²

9x⁷ has the next highest degree, so it is written next.

⇒4x¹² + 9x⁷

3x³ has the next highest degree, so it is written next.

⇒4x¹² + 9x⁷ + 3x³

-x has the lowest degree, so it is written last.

⇒4x¹² + 9x⁷ + 3x³ -x

4x¹² + 9x⁷ + 3x³ -x

==================================================================

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

       -Aadi x


It a math study guide plz help me

Answers

the answer is 12.57

Step-by-step explanation:

The formula to find circumference is 2×pi×r. Two is the radius. So when you plug it into the formula you get 12.57.

file:///C:/Users/TOSHIBA/Downloads/SISTEMA%20DE%20MEDICION%20ANGULOS%20(1).pdf

necesito solo las respuestas de la ultima pregunta, por favor

Answers

Answer:

I was unable to see this link. Sorry.

Step-by-step explanation:

Which of the following answers matches “The quotient of 9 and the sum of the quantities 5 and product of 8 and x.”

Answers

Answer:

I believe this is the answer  9/(5 + 8x)

what is the axis of symmetry for the graph shown?

Answers

Answer:

x=2

Step-by-step explanation:

The axis of symmetry goes through the vertex and is the line that makes the image the same on one side as the other

Since this is a vertical parabola, the axis is symmetry is  of the form x=

The vertex is at x=2  so the axis of symmetry is x=2

Sam drinks water at an incredible rate. She drinks 2 1/5 liters of water every 3/4 of an hour. Sam drinks water at a constant rate. About how much water does Sam drink per hour?

Answers

Answer:

2.9 litres

or

2 14/15 litres

Step-by-step explanation:

To determine the amount of water Sam drinks in an hour, divide the total amount drunk by the number of hours

Amount drank in an hour = total litres drunk / time

[tex]2\frac{1}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]

[tex]\frac{11}{5}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{44}{15}[/tex] = 2[tex]\frac{14}{15}[/tex] litres

Question is in picture

Answers

Step-by-step explanation:

you're multiple times a day po

the answer is c
hope it helps

match the answer to the equation

Answers

1: no solution

2: infinitely many solutions

3: one solution

A bank charges a fee of 0.5% per month for having a checking account. Stephani’s account has $325 in it. Which function models the balance of Stephani’s account, B(t), in dollars, as a function of time, t, in months?

a: B(t) = 325(0.0995)t

b: B(t) = 325(0.005)t

c: B(t) = 0.05(325)t

d: B(t) = 325 + 12(0.005)t

Answers

The required, function that models the balance of Stephani's account is

[tex]B(t) = 325(0.005)^t[/tex]. Option B is correct.

The function that models the balance of Stephani's account, B(t), in dollars, as a function of time, t, in months, can be determined using the given information.

Given:

Bank charges a fee of 0.5% per month for having a checking account.

Stephani's account has $325 in it.

The function that models the balance of Stephani's account, B(t), in dollars, as a function of time, t, in months, is:

b: [tex]B(t) = 325(0.005)^t[/tex]

In this function, the initial balance is $325, and the bank charges a fee of 0.5% per month, which is equivalent to 0.005 as a decimal. The exponent "t" represents the number of months, and with each passing month, the balance is reduced by 0.5%.

Learn more about function here:

https://brainly.com/question/12153483

#SPJ12

what is the circumference of a circle with a radious of 8

Answers

Answer:

The circumference is 16π or 50.2654 depending on whether they ask you for an exact value or in terms of pi.

Step-by-step explanation:

2r=d

2(8)=d

16=d

C=πd

C=π16

So, the circumference is 16π or 50.2654 depending on whether they ask you for an exact value or in terms of pi.

Answer:

50.2654

Step-by-step explanation:

Emmy is tossing bean bags at a target. She hit the target on 9 out of her last 18 tries. Considering this data, how many hits would you expect Emmy to get during her next 16 tosses?

Answers

Answer:

I would expect Emmy to get 8 hits in her next 16 tosses.

Emmy is to get 8 hits in her next 16 tosses.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that Emmy is tossing bean bags at a target. She hit the target on 9 out of her last 18 tries. Considering this data.

The probability is,

P = 9 / 18

P = 0.5

The expected number of the hits on the target in 16 tosses will be;-

Number = 16 x 0.5

Number = 8

Therefore, Emmy is to get 8 hits in her next 16 tosses.

To know more about probability follow

brainly.com/question/24756209

#SPJ6

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