what are the similar triangles theorems

Answer:

cos(60) = sin(30)

Step-by-step explanation:

cosine is adjacent over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠60°

sine is opposite over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠30°

Answer:

4in

Step-by-step explanation:

The area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that rectangle ABCD is in the same proportion as that of rectangle EFGH.

Perimeter of rectangle ABCD = 24 inch

Perimeter of rectangle EFGH = 48 inch

The ratio of perimeters of rectangle ABCD to EFGH will be :

= 24 : 48

= 1 : 2

It is also given that the width of rectangle ABCD is 2 inch.

Perimeter of triangle ABCD is :

P = 2 ( L + B )

24 = 2 ( L + 2)

L + 2 = 12

L = 10 inch

The area of rectangle ABCD will be :

= 10 × 2

= 20 inch²

As the perimeters of ABCD and EFGH are in ratio 1 : 2.

The area of rectangle EFGH will be :

= 20 × 2

= 40 inch ²

Therefore , the area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

Learn more about area of rectangle here :

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Answer:

3/8

Step-by-step explanation:

Well, let's start out by figuring out how many apartments have not been scheduled to receive new carpet. We know that 75 have been scheduled and that there are 120 total apartments, so the number of apartments that have not been scheduled is 120 - 75 or 45.

Now, we need to find the fraction of apartments that have not been scheduled to receive new carpet. To do this, we divide the number of apartments that have not been scheduled to receive new carpet by the total number of apartments:

[tex]\frac{45}{120}[/tex]

We can divide both sides by a common factor of 15 to find the simplified fraction and determine our answer.

[tex]\frac{45}{120} /\frac{15}{15} =\frac{3}{8}[/tex]

So, 3/8 of the apartments have not been scheduled to receive new carpet.

Answer:

SAS

Step-by-step explanation:

We must prove that triangles ABC and EDC are congruent.

Since BD bisects AE, then AC is congruent with CE.

Since AE bisects BD, then BC is congruent with CD

Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.

Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.

Answer: SAS

22 because the bottom corner is 68. 68 time 2= 138 then you do 160-138=22 meaning x=22

Answer:

1

Step-by-step explanation:

Answer:

Trip A from House to Shed is   0.062 km

Trip B from Shed to School is   4.47 km

Step-by-step explanation:

Set up a table (attached) that summarizes and organizes the data.  Let A be the distance from the hosue (I assume) to the shed, and B the distance from the shed to the school.  We know that distance = (speed)*(time).

The total time for a trip is the sum of the two segments, A and B, divided by the speed for each segment.

                                TRIPS    

                 1     2  

House/Shed A 6     18   km/hr

Shed/School B 15     27   km/hr

              18'30"    10'10"   min

                18.5     10.16   min    

              0.308   0.169   hr        [Convert the minutes into hours]

[The distance divided by the speed will give the time required for each segment, A and B].  

Trip 1:  1)  A/6 + B/15 =   0.308    

Trip 2: 2)  A/18 + B/27 = 0.169

Trip 1:  A/6 + B/15 = 0.308

            A + (6/15)B = 1.85    [Multiply each side by 6]

              A = 1.85 - (6/15)B     [Rearrange]

             A = 1.85 - (0.4)B       [This will be the defination of A we'll use in the second equation]

Trip2:     A/18 + B/27 = 0.169

    (1.85 - (0.4)B)/18 + B/27 = 0.169   [Use A= 1.85 - (0.4)B from above]

   27(1.85 - 0.4B)/18 + B = 27*(0.169)   [Multiply each side by 27]

   1.5*(1.85-0.4B) + B = 4.58

   2.78 - 0.6B + B = 4.58

    0.4B = 1.85

                                      B = 4.47 km

Now use  B = 4.47 km in either original equation to find A.

A/18 + B/27 = 0.169

A  + (18/27)B = 18*(0.169)   {Multiply both sides by 18]

A  + (0.67)B = 3.042

A  + (0.67)(4.47) = 3.042

A  + (2.98) = 3.042

                                    A = 0.062 km

Trip A from House to Shed is   0.062 km

Trip B from Shed to School is   4.47 km

Answer:

Step-by-step explanation:

Option C 1 and 3 is the correct answer

Answer:

B. 2x-3

Step-by-step explanation:

14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.

Answer:

2/5, a and b

Step-by-step explanation:

Answer:

Use ≈ (approximately equal) sign as the scientific notation.

Step-by-step explanation:

(a) 0.001872 ≈ 0.0019

(b) 0.3411 ≈ 0.34

(c) 0.000845 ≈ 0.00085

*Zeros before non-zero numbers are not significant.

*Zeros appearing between two non-zero digits are significant.

Hope this helps!!

Answer:

Yes

Step-by-step explanation:

It is a function because the x value doesnt repeat itself. The x value is the input

We can't get the answer if there's no problem?

Answer:

x = 17

Step-by-step explanation:

The two given angles are supplementary angles, but also all angles on a straight light must add up to 180°:

3x + 14 + 7x - 4 = 180

Add like terms

3x + 7x + 14 - 4 = 180

10x + 10 = 180

Subtract 10 from both sides to isolate 10x:

10x + 10 - 10 = 180 - 10

10x = 170

Divide both sides by 10:

10x ÷ 10 = 170 ÷ 10

x = 17

Hope this helps!

Answer:

the vaule of x is 160 add the rest to it later then you get answer A

Step-by-step explanation:

Answer:

Its B 70

Step-by-step explanation:

Edge 2022

Answer:

A^7x^2/B

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

25% is a 4th of the whole number, the whole number is 20 so a 4th of 20 is 5 because 5 times 4 equals 20.

due to the fact that 25% of 20 is 5 we now have to add that to the whole number which is 20.

20 + 5 = 25

Answer:

7.22 x 10^5

Step-by-step explanation:

Remember that the decimal is always to the right of the ones place.

1. Move it one place to the left and multiply by 10 to compensate.

2. Move it two places to left and multiply by 10^2.

3. Move the decimal point three times and multiply 10^3 to compensate, and the pattern continues until you reach the very last digit, the 7.

4. Numbers after the 7 that are not zeros will be after the decimal point.

so, 7.22 x 10^5

Answer:

id

Step-by-step explanation:

Answer:(3/5 times 5/6 = 1/2)

Step-by-step explanation:

Answer:

3/5 x 5/6 = 1/2

Hope it helps

Answer:

Max area = 100

10 10 sides

Step-by-step explanation:

here given perimeter for fencing is 40 feet

for it to have maximum area sides

sides length is perimeter / 4

so l = 40/4 = 10

so it is 10 × 10 square

Area = 100

This is the maximum area

Answer:

6

weeks

Step-by-step explanation:

Answer:

(can't answer a since the ratio chart is incomprehensible through text)

b. 20 feet of ribbon for $12.00

12 / 3 = 4

5 x 4 = 20

c. 17 feet of ribbon for $10.20

find unit rate (cost / quantity)

3 / 5 = $0.60 per feet

0.60 x 17 = 10.2

Answer:

y - 5 = 4(x + 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (-4, 5)

Slope m = 4

Step 2: Find Equation

Step-by-step explanation:

as explained in the other question : when applying an arithmetic operation on functions, you are applying it on the functional expressions.

(r*s)(x) = (x+3)*(2x²) = 2x³ + 6x²

(r-s)(x) = (x+3) - (2x²) = -2x² + x + 3

(r+s)(-1) = (-1 + 3) + (2×(-1)²) = 2 + 2×1 = 4

The answer: 39 yards