Mathematics High School

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

Can someone help me solve all of these problems for brainliest and a heart? please and thank you!

Answers

Answer:

Top Right Problem: PACKAGE #2 and $0.80

Bottom left: BAND and $0.05

Bottom Right: PEPSI and $0.05

Find the slope and y-intercept of 5x – y = 7. Reduce all fractions.
slope = - Ô =
y-intercept =
B

Answers

Answer:

slope= ( 5,1 ) Y-intercept= ( 0,-7 )

Step-by-step explanation:

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

help please ! so i can finish this assignment

Answers

Answer:

-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10

Step-by-step explanation:

In ΔCDE, \text{m}\angle C = (4x-16)^{\circ}m∠C=(4x−16) ∘ , \text{m}\angle D = (6x-1)^{\circ}m∠D=(6x−1) ∘ , and \text{m}\angle E = (4x-13)^{\circ}m∠E=(4x−13) ∘ . Find \text{m}\angle C.M∠C.

Answers

Answer:

m∠C = 44°

Step-by-step explanation:

In ΔCDE,

m∠C=(4x−16) ∘

m∠D=(6x−1) ∘

m∠E=(4x−13) ∘ .

The sum of angles in a triangle = 180°

Step 1

We solve for x

m∠C + m∠D + m∠E

(4x−16)° + (6x−1)° + (4x−13)° = 180°

4x - 16 + 6x - 1 + 4x - 13 = 180°

4x + 6x + 4x -16 - 1 - 13 = 180°

14x - 30 = 180°

14x = 180+ 30

14x = 210

x = 210/14

x = 15

Step 2

Find m∠C

m∠C = (4x−16)°

m∠C = (4 × 15 - 16)°

m∠C = (60 - 16)°

m∠C = 44°

for every 6 white roses, there are 8 pink roses. If the floral arrangement is proportional then how many pink roses are in a arrangement with 10 white roses

Answers

Answer:

13.33 pink roses

Step-by-step explanation:

We are told the floral arrangements are proportional , hence:

6 white roses = 8 pink roses

10 white roses = x

Cross Multiply

6 white roses × x = 10 white rose × 8 pink roses

x = 10 white roses × 8 pink roses/6 white roses

x = 13.333333333 pink roses

x ≈ 13.33 pink roses

how do i answer this please?

Answers

Answer:

a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]

Step-by-step explanation:

a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]

Taking √3 & √5 common respectively,

[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]

[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]

Taking √2 common ,

[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]

[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]

Taking 4 common ,

[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]

(+5) - (-7)

thank you in advance

Answers

Answer:

12

Step-by-step explanation:

The answer is positive 12

Rectangle ABCD has a width of 8 yards and a length of 20 yards. Rectangle QRST, which is similar to rectangle ABCD, has a length of 40 yards.
Find the scale factor of ABCD to QRST and the perimeter of each rectangle.

Answers

Answer: 16 yards would be your answer

The  scale factor of ABCD to QRST is 1:2

The perimeter of rectangles ABCD and QRST are 56 yards and 112 yards respectively.

Rectangle ABCD has a width of 8 yards and a length of 20 yards.

Rectangle QRST is similar to rectangle ABCD.

Rectangle QRST has a length of 40 yards.

Scale factor:

Therefore, the scale factor of ABCD to QRST can be calculated as follows:

let

x = width of rectangle QRST

8 / x = 20 / 40

8 / x = 1 / 2

x = 16

The scale factor of  ABCD to QRST is 1:2

Perimeters

perimeter ABCD = 2(8 + 20) = 56 yards

perimeter QRST = 2(16 + 40) = 112 yards.

learn more on similar rectangles here: https://brainly.com/question/8956702?referrer=searchResults

which statement best describes this graph?

Answers

Answer:

the second one

Step-by-step explanation:

Two sets are shown in the Venn diagram. Set N represents the natural numbers, and Set W represents the whole
numbers. in which set does the values -45 belong?

Answers

Answer:

In my opinion this is the whole w

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

both

I need help someone pls help me

Answers

Answer:

quit

Step-by-step explanation:

what do u think?

Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7

Answers

I have no idea math is so freaking hard x

Simplify the expression:
5.2a -(4.5a +4.8a)

Answers

Answer:

-4.1a

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

5.2a - (4.5a + 4.8a)

Step 2: Simplify

Combine like terms:                    5.2a - (9.3a)Combine like terms:                    -4.1a

1. Dilate the function p(x) = (x+2),
by (2x + 4)

Answers

Answer:

Hi how are you doing today Jasmine

help fast please :) :) :) :) :)

Answers

Yeah I’m also not %100 but I agree with the first person, #3

A number, rounded to 2 decimal places, is equal to 3.84.
Write down the lower and upper bounds of the number.

Answers

Answer:

Lower bound = 3.835

Upper bound = 3.844

Step-by-step explanation:

Given,

A number rounded to 2 decimal place = 3.84

In other to obtain the least and greatest number, we are mostly concerned about the third digit after the decimal point.

Knowing that numbers 5 and above are rounded to 1 while numbers below 5 are rounded to Zero.

Hence, the lower bound should have its original hundredth value as (4 - 1) such that it becomes 4 when the thousandth value is rounded to 1.

Lower bound = 3.835

The upper bound should have its thousandth value as one which is rounded to Zero, just a point below 5

Upper bound = 3.844

Abby sold 152 copies of a CD she made for $13.99 each. If she earns 33% profit from each CD,about how much profit will she earn in all?

Answers

Answer:

$701.74

Step-by-step explanation:

33% of 13.99 is 4.6167

4.6167 x 152 is 701.7384

Rounding the thousandth gives you 701.74

Therefore the answer is $701.74

Question 1
Simplify
5y - 2y + y + y

Answers

Answer:

5y

Step-by-step explanation:

Which statement explains why 49 is a perfect square?

49 can be multiplied by 49.

49 is equal to 7 plus 7

49 betweern 36 and 64

49 is equai to 7 times 7
On edge

Answers

Answer:

the statement that shows that 49 is a perfect square 49 is equal to 7 times 7

I need helppppppppppppp

Answers

Answer:

use math

Step-by-step explanation:

What number is 5/8 more than 3/16 ? Show how you calculated your answer.

Answers

Answer:

10/16

Step-by-step explanation:

Find the common factor between both

5/8 = 10/16

10/16 > 3/16


Select the correct answer.
What is V192 in simplest form?
OA. 32/3
OB. 3V
Ос.
OD
2748

Answers

Answer:

should be C 8v3

Step-by-step explanation:

hope this helps you

Answer:

8V3

Step-by-step explanation:


At a bookstore, you buy a calendar for $5 and some books for $3 each. You spend a total of $26. How many
books do you buy? Use the following equation to find the number of books b bought; 3b+5=26

Answers

You buy 7 books

3b+5=26
*subtract 5 to the 26 side*
3b=21
Now divide 21 by 3
B=7
So there are 7 books bought. ^^

14 + 3 = 50 - 6

Please let me know quick with solving steps!

Answers

Answer:

Can you show me a picture, that would help.

Can someone help me? please

Answers

Answer:

0.7>0.54

Step-by-step explanation:

Solve -1/2 + (3/4 x 4/9) = ?​

Answers

Answer:

=-1/6

Step-by-step explanation:

-1/2 + (3/4 * 4/9)

3/4 * 4/9 = 12/36

12/36 simplify to 1/3

-1/2 + 1/3 = -1/6

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = [tex]\sqrt{3}[/tex]/6

Step-by-step explanation:

30-60-90 triangles have legs in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2

create a proportion:  (6 ÷[tex]\sqrt{3}[/tex]) = (1÷x)

cross-multiply:  6x = [tex]\sqrt{3}[/tex]

divide by 6

Solve:
p−316=−212
What Is P?

Answers

Answer:

P=104

Step-by-step explanation:

-212+316=104

therefore p=104

Which sequence explains a geometric method of determining StartFraction 3 minus 17i Over 2 + 2 I EndFraction ?

Answers

You’re gonna have to take a picture, I can’t understand
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