Rectangle ABCD is similar to rectangle JKLM. AB = 12, BC = 8, CD = 12, DA = 8, and JK = 15. What is the scale factor from JKLM to ABCD? Reduce all answers.

Answer:

Step-by-step explanation:

Sin 61  = 47/X

(X=AB)

X = 53.73764119

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is A.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. It is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In the given triangle, for ∠B we can write the perpendicular is 47, and the hypotenuse is AB.

Using the Sine ratio for the angle B, we can writte,

Sin(∠B) = AC/AB

Sin(61°) = 47/AB

AB = 53.74 units

Hence, the correct option is A.

Learn more about Sine:

https://brainly.com/question/21286835

#SPJ2

Answer:

Step-by-step explanation:

a. amt. of weeks and hours worked

Answer:

381/90

Step-by-step explanation:

x = 4.2333.... ----------(I)

Number of digit after decimal is 2 ( 4 , 3). So multiply both sides by of equation 100

100x = 423.333..... (II)

One digit (3) is repeating.So, multiply by both sides of equation (I) by 10

10x = 42.333....... -----(III)

Subtract Equation (III) from (II)

(II)     100x = 423.333......

(III)        10x =  42.333......  {Subtract}

         90x   = 381

                x = 381/90

The square root of 100 is 10.

To check, solve 10 x 10.

Hope this helps! Please mark me as brainliest!

Have a great day!

SI = P×R×T/100

(3200×6×2)/100

= 384

Now 3200 + 384

= Euro 3584

Answer:

cos203° = - p

Step-by-step explanation:

Using the addition formula for cosine

cos(a + b) = cosacosb - sinasinb

cos203°

= cos(180 + 23)

= cos180°cos23° - sin180°sin23°

= cos180°. p - 0

= - 1 . p

= - p

Answer:

Step-by-step explanation:

5y=...:

y=5-13

y=-8=>5y=-58

6x-(-58)=13

6x+58=13

6x =13-58

6x =-45

x =-45:6

x =-7.5

Answer:

1

Step-by-step explanation:

Let,

x1 = - 2

y1 = 5

x2 = 2

y2 = 9

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 9 - 5 ) ) / ( 2 - ( - 2 )

= 4 / 4

= 1

Answer:

slope is 1

Step-by-step explanation:

from (-2, 5) to (2,9)

slope m= (y2-y1) / (x2-x1) = (9-5) / (2- -2) = 4 / 4 =1

*

you can think of how do you get from one point to the other

first point  (-2, 5) go to second point  (2,9)

-first on the  y-axis (vertical) you start at 5 and go four up to get to 9  

-second on the x-axis (horizontal) you start at -2 and go four right to get to 2

slope = change in y / change in x = four up /four right = 4/4 = 1

-moving down or to the left will make the numbers negative

Answer:

A - 55 degrees

Step-by-step explanation:

secant-tangent angle: 1/2(larger-smaller)

1/2(180-70)

1/2(110)

55 degrees

Answer:

the correct answer is b and I know this because I just had it

Answer:

|x-2| + |x+1| -5=0

⇒|x-2| + |x+1|=5

⇒x-2+x+1=5

⇒2x=6

⇒x=3

Step-by-step explanation:

Answer:

How do you find the unknown angle of a triangle? To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Step-by-step explanation:

Answer:

maybe it's D ( not sure tho)

Answer:

V = 56.5 mi^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = pi ( 3)^2 (2)

V = 18 pi

Letting p = 3.14

V = 56.52 mi^3

Rounding to the nearest tenth

V = 56.5 mi^3

Answer:

true

Step-by-step explanation:

We are given that sides LM and NM, LO and NO, MO and MO are congruent. Since this describes 3 sides of the triangle, you can say ΔMNO is congruent to ΔMLO. From this, you can say ∠OMN is congruent to ∠OML. The two angles (∠OMN and ∠OML) form a straight line, meaning they add up to 180 degrees. We can write:

∠OMN + ∠OML = 180

And since ∠OMN = ∠OML, we can substitute and solve:

∠OMN + ∠OMN = 180

2∠OMN = 180

∠OML =∠OMN = 90

Since both these angles are 90 degrees, LN is perpendicular to MO by definition.

Answer:

- 20

Step-by-step explanation:

Given that,

Flavors of tea = 5

Types of packaging = 2

So,

No. of possibilities = 5 * 2

= 10

A.T.Q.,

4 from 5 total flavors will be included in the variety pack, the number of available choices = 5C4

= 5 choices

Since 5 choices are probable for each form, The total in two forms would be 5 * 2 = 10.

Therefore,

Total no. of different packs can be possible = 10 + 10

= 20

Answer: 1.2/5 Marching band members play the snare drum.

Step-by-step explanation:

4/5 Band Members Play Percussion Instruments. (80%)

4/6 Play The Snare Drum. (66% of the 80%)

1/5 Band Members Do NOT play percussion. (20%)

80 - 66 = 14%

14 + 20 = 24%

1/5 = 20%

1.5/5 = 30%

1.2/5 = 24%

1.2/5 Marching band members play the snare drum.

hi my name how are you home work sind

Answer:

1/4a+3/4b

Step-by-step explanation:

OP=OA+AP

OA=a

AP=3/4AB

AB=-a+b

thus AP=3/4(-a+b) which is-3/4a+3/4b

OP=a-3/4a+3/4b thus 1/4a+3/4b

Answer: 43

Step-by-step explanation:

Concept:

Here, we need to understand the idea of evaluation.

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

**Disclaimer** I assume that the expression is [4x² + 5x - 8]. If it was, then you may refer to my answer. If it was not, then you may point it out and I will redo it.

Given

4x² + 5x - 8

x = 3

Substitute the value of x

4(3)² + 5(3) - 8

Simplify exponents

4(9) + 5(3) - 8

Simplify multiplication

36 + 15 - 8

Final subtraction and addition

43

Hope this helps!! :)

Please let me know if you have any questions

the cost price of radio is Rs.4450.

Answer:

5+√6

Step-by-step explanation:

(3√3 -2√2) ÷ (√3-√2 )

= (3√3 -2√2) (√3+√2) ÷ (√3 -2√2) (√3+√2)

= (9+3√3√2-2√2√3-4) ÷ ((√3)^2 -(√2)^2)

=(9+3√6-2√6-4) ÷ (3-2)

= (5+√6)

Answer:

D

Step-by-step explanation:

This isnt a cartisean coordinate plane so A is wrong. One of our points is at

[tex] - 3 + i[/tex]

Because it coincide with real number 3, and negative imaginary number i.

Conjugates are terms with opposite inverse of terms.

So our conjugates is

[tex] - 3 - i[/tex]

Answer:

x = [tex]\frac{5}{2}[/tex] , y = [tex]\frac{27}{4}[/tex]

Step-by-step explanation:

Equate the first 2 parts of the ratios on both sides of the equation and solve for x.

Expressing the ratios in fractional form, then

[tex]\frac{x}{3}[/tex] = [tex]\frac{\frac{15}{4} }{\frac{9}{2} }[/tex] = [tex]\frac{15}{4}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

6x = 15 ( divide both sides by 6 )

x = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]

-----------------------------------------------------------------------------------

Equate the last 2 parts of the ratios on both sides and solve for y

[tex]\frac{\frac{9}{2} }{y}[/tex] = [tex]\frac{3}{\frac{9}{2} }[/tex] = 3 × [tex]\frac{2}{9}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2y = [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex] ( divide both sides by 2 )

y = [tex]\frac{27}{4}[/tex]

Answer:

obtuse

Step-by-step explanation:

45^2 = 2025

42^2 = 1764

13^2 = 169

169+1764=1933

2025 > 1933

therefore it is an obtuse triangle

(-2, -3) || -3 + -2 < -5 || -5 < -5 || FALSE

(-4, -2) || -2 + -4 < -5 || -6 < -5 || TRUE

(-3, -2) || -2 + -3 < -5 || -5 < -5 || FALSE

(-1, -3) || -3 + -1 < -5 || -4 < -5 || FALSE

Correct Answer: (-4, -2)

Hope this helps!

Answer:

(-1,-3)

Step-by-step explanation:

(x,y)

it's not hard just plug in the coordinates for x and y ;-;

-2 is x, -3 is y

-3+-2<-5

-5<-5? false.

-4 is x, -2 is y

-2+-4<-5

-6<-5? false.

-3 is x, -2 is y

-3+-2<-5

-5<-5? false

-1 is x, -3 is y

-1+-3<-5

-4<-5? true

hopefully you found out the pattern in how to do this if you did not know. or if you simply were too l a z y to do it urself I understand that as well. have a great day!

Trả lời:

86 và 91

Giải thích từng bước:

Cho hai số là x và y. Nếu tổng của chúng là 177, thì;

x + y = 177 ... 1

Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17

Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25

Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:

x-17 = 2/3 (y + 25) .... 2

Từ 1, x = 177-y ... 3

Thay thế 3 thành 2

177-y-17 = 2/3 (y + 25)

160-y = 2/3 (y + 25)

3 (160-y) = 2 (y + 25)

480-3y = 2y + 50

-3y-2y = 50-480

-5y = -430

y = 430/5

y = 86

Vì x = 177-y

x = 177-86

x = 91

Do đó hai số là 86 và 91

Answer:

A reflection of the point across the line y = -x

Step-by-step explanation:

General rule for reflection across line  y = -x is

(a,b) -------> (-b , -a)

Answer: x=8

Step-by-step explanation:

So to begin with we need to find the connection being that they are the same triangle but with a dilation. We need to find the dilation by matching the new angles with each other H=E F=C and D=G. We need to find the relation ship between CD and FG. 65 divided by 24= 2.6 take ED and multiply 2.6 to find HG. HG= 91. Now we need to find x. 8 times x+ 3=91. Find the closest eight multiple to 91 which is 8 times 8= 88 and add 3 to see it makes 91.

8 is your answer.

Answer:

11/18

Step-by-step explanation:

KL + MN = 11

Total = 18

Probability of KL or MN = 11/18