The diagram shows an isosceles right
triangle. Follow these steps to explore the
relationship between side lengths.
m2 ABC = 45°
MZ ACB = 45°
1. Measure the length of each leg and
the hypotenuse:
AB =
units
AC =
units
BC =
units
B
C
A
III
IIIIIIIIIIIIIIIII

The Diagram Shows An Isosceles Righttriangle. Follow These Steps To Explore Therelationship Between Side

Answers

Answer 1

Answer:1. 1.0 1.0 1.4

Step-by-step explanation:

Answer 2

The  length of the sides are given by the 45°45°90° triangle theorem.

Correct responses:

AB = 1AC = 1BC = √2

Methods used to find the lengths

The 45°–45°–90° triangle theorem states that the ratio of the lengths of

the sides of triangles having interior angles of 45°, 45°, 90° is 1 : 1 : √2

The lengths of the legs of an isosceles triangle are equal.

The legs of the given isosceles right triangle are AB and AC

Therefore;

AB = AC

Taking the lengths of AB as 1 unit, we have;

AB = 1 = AC

According to Pythagorean theorem, we have;

[tex]\overline{BC}^2 = \mathbf{\overline{AB}^2 + \overline{AC}^2}[/tex]

Which gives;

[tex]\overline{BC}^2 = 1^2 + 1^2 = \mathbf{ 2}[/tex]

Therefore;

BC = √2

Therefore, by setting the length of AB = AC = 1, we have;

AB = 1AC = 1BC = √2 ≈ 1.414

The above values are in the ratio 1 : 1 : √2, which corresponds with the

45°-45°-90° triangle theorem.

Learn more about Pythagorean theorem here:

https://brainly.com/question/66231


Related Questions

What is a fraction equal to 2/3? *

Answers

Answer:

Here are multiple :)

4/6

6/9

8/12

10/15

12/18

14/21

16/24

Hope this helped!

Answer:

2/3 | 4/6 | 8/12 | 16/24 | 6/9 | 10/15 | 14/21 | 16/24 | 18/27 | 20/30

HURRY I NEED HELP

Does the graph shown below represent Y as a linear function of x
Yes or No

Answers

Answer:

no

Step-by-step explanation:

linear functions have straight lines

so this is not a linear function

The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)

Answers

Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else

Step-by-step explanation:

What expression can you substitute for y in
this equation?
-4y + x = -27
Enter the correct answer.

Answers

Answer:

1/4x+27/4

Step-by-step explanation:

Here's the equation: -4y+x=-27

We'll need to isolate y on one side

subtract x from both sides

-4y=-x-27

divide everything by -4

y=1/4x+27/4

So you can substitute 1/4x+27/4 for y.

hope this helps!

NEED HELP PLEASE 20 POINTS!!!!

Answers

I think the answer is B

Find the area of a trapezium is 4cm 4cm, 7cm

Answers

Step-by-step explanation:

1/2×(4+7)×4

1/2×11×4

11×2

22cm2

solve the system of equations
4x - 3y = 8 and 2x + 5y = -9
I need a math genius’ help on this pls :)

Answers

Answer:

4x-3y=8

Simplifies to x=3/4y+2

2x+5y=-9

Simplifies to -5/2y+-9/2

Find 2a for a = 3 1/4. 23 1/4 6 1/4 6 1/2 5 1/2

Answers

Answer:

6 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

you are adding 3 1/4 to 3 1/4 which is 6 2/4 or 6 1/2

or you can multiply 13/4 by 2 to get 26/4 or 13/2 which, again, is 6 1/2

Please I am on a timer

Answers

Answer: g=5

Step-by-step explanation:

HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! :)

find the solution set.

Answers

Part A: m< -6

---

Part B: a < 25

---

Part C: x < 16

---

Part D: p > 8

The number of penguins in Antarctica decreased by 30% between last year and this year. Last year there were 650 penguins. What is the population this year?

Answers

9514 1404 393

Answer:

  455

Step-by-step explanation:

The decrease was 30% of 650, or ...

  0.30 · 650 = 195

So, the population this year is ...

  650 -195 = 455

Answer:

455 Penguins

Step-by-step explanation:

1.) 650 x 0.30 = 195

2.) 650 - 195 = 455

Final answer: 455 Penguins

Hope this helped!

Which fraction and decimal forms match the long division problem?
A.4/15 and 0.26
B.4/15 and 0.26
C.15/4 and 0.266
D.15/4 and 0.26​

Answers

Answer:

C would be the correct answer. :D

What value of x is in the solution set of 4x - 12 < 16 + 8x?
0-10
O-9
08
O 7

Answers

Answer: 7 and 8

Step-by-step explanation:

[tex]4x-12 < 16+8x\\\\-12 < 16+4x\\\\-28 < 4x\\\\-7 < x \\\\x > -7[/tex]

So, both 7 and 8 are in the solution set.

Eliza makes handmade ornaments. It takes her 4 hours to make 18 ornaments. How many ornaments can she make in
14 hours?

Answers

Answer: She makes 63 ornaments in 14 hours

Step-by-step explanation:

4 = 18

14 = x

Cross multiplication

4x = 18 x 14

4x = 252

x = 63

Answer:

She can make 63 ornaments in 4 hours

Step-by-step explanation:

she makes 4.5 in a hour so just times that by 14

I’ll DO ANYTHING IF U ANSWER THIS WHOLE THING

Answers

Answer:

13/12

Step-by-step explanation:

The table of ordered pairs shows the coordinates of the two points on the
graph of a function. Which equation describes the function?

Answers

Answer:

[tex]y=\frac{-1}{2} x+1[/tex]

Step-by-step explanation:

In this case , we'll have to carry out several steps to find the solution.

Step 01:

Data

x   y

-2  2

4   -1

Equation of the line =?

Step 02:

Equation of the line

Slope formula:

[tex]m=\frac{y2-y1}{x2-x1} =\frac{-1-(2)}{4-(-2)}=\frac{-3}{4+2} =\frac{-3}{6} =\frac{-1}{2}[/tex]

Point-slope form of the line

[tex](y-y1)=m(x-x1)[/tex]

[tex](y-2) =\frac{-1}{2}(x-(-2))\\y=\frac{-1}{2} x-\frac{2}{2}+2\\y=\frac{-1}{2}x-1 +2\\\\y=\frac{-1}{2} x+1[/tex]

The answer is:

The equation of the line is [tex]y=\frac{-1}{2} x+1[/tex]

PLEASE MARK ME AS BRAINLIEST

Which expressions are equal to 105?

Answers

Answer:

2•2²×100+5.

Step-by-step explanation:

What is 3.116372 rounded to the nearest hundred thousandths place?

Answers

Answer:

3.116370

Step-by-step explanation:

1. Find hundred thousandths place: the 7

2. Look at the number behind it (2).

3. 2 is 4 or less so it would be 3.1116370.

4. The numbers after the place you round ( Here hundred thousandths)

turn into zeros.

Find the value of x
?????

Answers

Answer:

2x+57°+x=180 ( angle sum property of triangle)

3x=123

x=41

I just wanted to let you know I had to go eat a little bit earlier I have a lot to do for you to

a half of 48 divided by6multiplied by4 plus 3 minus 2​

Answers

Answer: 17

Step-by-step explanation: thx

Answer: 9 using pemdas

Step-by-step explanation: parenthesis, expressions, multiplication, division, addition, subtraction.

Write the function a a product of linear factor by grouping or using the x method or a combination of both

g(x) = x2 - 9

Answers

Answer:

[tex]\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}[/tex]

Step-by-step explanation:

Given function to us is :-

[tex]\bf \implies g(x) = x^2 - 9 [/tex]

And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,

[tex]\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup [/tex]

I have also attached the graph of x²-9.

Hence option A is correct .

Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27

Answers

Answer:

Yes that function does •h(x)=x^2/x^2-6x-27

Step-by-step explanation:

Yes that function does •h(x)=x^2/x^2-6x-27

I just need number 32 and 33 please show work if you can​

Answers

Step-by-step explanation:

Interior angle + Exterior angle = 180°.

Size of Interior angle = 180° - 360°/n.

Question 32:

Exterior angle = 72°

Interior angle = 180° - 72° = 108°.

Therefore 180° - 360°/n = 108°, n = 5 => 5 sides.

Question 33:

Exterior angle = 36°

Interior angle = 180° - 36° = 144°.

Therefore 180° - 360°/n = 144°, n = 10 => 10 sides.

Answer: 32.) 108°. 5 sides

33.) 144°. 10 sides

Step-by-step explanation:

To find an interior angle subtract the given exterior angle from 180.

180 - 72 = 108

180 - 36 = 144

To find the number of sides of a regular polygon, divide 360 by the exterior angle.

360/72 = 5

360/36 = 10

Can you help me -3-
only the first problem (a)

Answers

Answer: -18

Step-by-step explanation:

Turn 2 1/4 into an improper fraction --> 9/4

Now the expression is:

9/4 x -8

Multiply 9 x -8 and that gives you -72...

Then, divide 4 from -72 which is -18!

Hope that helped!

What percent of offspring will be blue eyed?

0%
25%
50%
100%
Please I need help

Answers

Answer:

I believe the answer is 0% because the blue eye trait is recessive.

Step-by-step explanation:

Hope this helps!

✧◝(⁰▿⁰)◜✧

Answer:

25%

Step-by-step explanation:

blue eyes are the resesive gene but there is still a 25% chance.

Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. StartAbsoluteValue negative 3 EndAbsoluteValue + StartAbsoluteValue negative 5 EndAbsoluteValue = 3 + 5 = 8. The distance is 8 units. Riko correct? Explain why or why not.

Answers

Answer:

Riko is wrong because she uses the wrong formula.

Step-by-step explanation:

Given the coordinate points (-2, -3) and (2, -5)

We are to find the distance between the two points

Using the formula:

D = √(x2-x1)²+(y2-y1)²

From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5

Substitute

D = √(2-(-2))²+(-5-(-3))²

D= √(4)²+(-2)²

D = √16 + 4

D = √20

D = √4*√5

D = 2√5

This shows that Riko is wrong because she uses the wrong formula.

Answer:

No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.

Step-by-step explanation:

double s, then multiply t by the result

*INCLUDE ANY PARENTHESES OR MULTIPLICATION SYMBOLS IF NEEDED!!!!*

Answers

Umm was there supposed to be another picture

Expand and simplify
(x + 3)(x + 5)​

Answers

Answer:

x^2+8x+15 this is it simplified

answers for the 2 boxes please :)​

Answers

(-3,-4) you can double check by plugging the values into a calculator if you want

27÷819=
give me the quotient for 27÷819

Answers

Answer:

.032967033

Step-by-step explanation:

Answer:30.33333333 or just 30.3

Step-by-step explanation:

30.33333333333333

Other Questions
How do you make someone brainliest In the 1800s, unmarried women hadmore rights than married women.the same rights as married women.fewer rights than married women.no rights, just like married women. List and explain the major features that the following building designs must have to relate directly to their functions.-Hospital-Airport-Courthouse A student observes a difference in the activity level of fish at a pet store. The fish in an aquarium near the window are swimming around more quickly tha the fish in an aquarium placed in the back of the store. The student forms a hypothesis about the effect of sunlight on fish activity levels and arranges to conduct an experiment. Which variable could be an independent variable in the student's experiment? types of fish sold speed of swimming fish amount of time fish were active temperature of water in fish tank how do you do this equation ?solving inequalities 8 2x < x + 7 Need help with this math problem Bacteria reproduce in a process called binary fission which of the following is true about binary fission? The expression 17x is equivalent to the expression x 7. What can you infer based on this text?But Buck did not read the newspapers,and he did not know that Manuel, one ofthe gardener's helpers, was an undesirableacquaintance.A. The newspapers magically told about future events.B. Buck doesn't know that Manuel is not a desirableacquaintance.C. Manuel is the new butcher's assistant. How did Mendeleev arrange the known elements in his periodic table? O A. According to the number of protons O B. According to the number of electrons O C. According to atomic mass O D. According to atomic number What did Washington warn against in his Farewell Address?Options:A) Electing the wrong personB) Political party infightingC) Neutrality in foreign warsD) A strong national government(Thank you) PLEASE HELP I WILL GIVE BRAINLIEST!!!1 - A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.2 - A system of equations may not have an exact solution that meets the conditions of a real-world solution.it would be so amazing if you could help, im legit so confused :( Match each atomic particle with the correct charge.1. proton neutral 2. neutron positive 3. electron negative 8. After completing your research on teen pregnancy, compare your life now withhow it might be if you became a teen father or mother.Include how having a child might affect your education. (5 points) please I need helpBased on-climate-global warming -temperatures Help picture above thank you Read the excerpt from a supporting opinion of the Supreme Courts ruling in Plessy v. Ferguson.If the civil and political rights of both races be equal, one cannot be inferior to the other civilly or politically. If one race be inferior to the other socially, the Constitution of the United States cannot put them upon the same plane.How does this relate to the premises of Brown v. Board of Education? SPANISH SPEAKERS PLEASE HELP ME!Create a story of at least 10 sentences in SPANISH about the image below.You must use complete sentences and correct grammar.Make sure to also include food that you see in the image. It costs $60 to reserve a movie theater for a party. There is also a charge of $3 for each person. Which expression represents the total cost to reserve a movie theater for n persons? can someone help me out?