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

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:

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.

Expand and simplify
(x + 3)(x + 5)​

Answers

Answer:

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

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 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

I’ll DO ANYTHING IF U ANSWER THIS WHOLE THING

Answers

Answer:

13/12

Step-by-step explanation:

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!

Which expressions are equal to 105?

Answers

Answer:

2•2²×100+5.

Step-by-step explanation:

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 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.

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

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

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

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!

NEED HELP PLEASE 20 POINTS!!!!

Answers

I think the answer is B

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.

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

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

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 .

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

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

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

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

find the solution set.

Answers

Part A: m< -6

---

Part B: a < 25

---

Part C: x < 16

---

Part D: p > 8

answers for the 2 boxes please :)​

Answers

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

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!

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

Please I am on a timer

Answers

Answer: g=5

Step-by-step explanation:

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.

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

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

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