Given Q'R'S'T' is a dilation of QRST, find the scale factor of dilation.

Answer:

(i) The distance between B and C is approximately 552.9 m

(ii) ∠ACB is approximately 40.49°

(iii) The bearing of C from B is approximately 184.49°

(iv) The shortest distance from A to BC is approximately 331.155 m

Step-by-step explanation:

The given parameters are;

The length of segment AB = 370 m

The length of segment AC = 510 m

The bearing of B from A = 68°

The bearing of C from A = 144°

(i) From the bearing of B from A = 68° and the bearing of C from A = 144°, we have;

∠BAC = 144° - 68° = 76°

∠BAC = 76°

Let A represent ∠BAC, c represent segment AB, b represent segment AC, and a represent segment BC, by cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

By substituting the known values, we get;

a² = 510² + 370² - 2 × 510 × 370 × cos(76°)

a² ≈ 397000 - 91301.3234 ≈ 305698.677

BC = a ≈ √(305,698.677) ≈ 552.9

The distance between B and C, BC ≈ 552.9 m

(ii) By sine rule, we have;

a/(sin(A) = b/(sin(B)) - c/(sin(C))

Therefore;

552.9/(sin (76°)) = 370/(sin(C))

sin(C) = 370/(552.9/(sin (76°))) ≈ 0.649321

C = arcsine(0.649321) ≈ 40.49°

∠C = ∠ACB ≈ 40.49°

(iii) Angle ∠B = ∠ABC = 180° - 76° - 40.49° ≈ 63.51°

The bearing of A from B = 360° - (180° - 68°) = 248°

Therefore, the bearing of C from B ≈ 248° - 63.51° ≈ 184.49°

(iv) The shortest distance from A to BC = 370 m × sin(63.51°) ≈ 331.155 m

the variable in this question would be........................ W

you are welcom

Answer:

D

Step-by-step explanation:

c = 41.21 - 0.41L

hope this helps <3

9514 1404 393

Answer:

  12.25

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally, so we have ...

  x/3.5 = 7/2

  x = 3.5×7/2 . . . . multiply by the denominator

  x = 12.25

_____

Additional comment

The proportion can be written 4 ways. I find it convenient to write it with the unknown value in the numerator. That way, the solution is found in one step: multiply by the denominator.

Answer: The slope of the line is 2.

Step-by-step explanation:

Slope = change in y/change in x

Slope = (8-4)/(4-2)

Slope = (4)/(2)

Slope = 2

Answer:

1/2

Step-by-step explanation:

Answer:

down below:)

Step-by-step explanation:

sale price    discount

                    1. multiplied by 0.82

                    2. multiplied by 0.75

                    3. multiplied by 0.9

1. 18.45

2. 30

3.  23.4

Answer:

9

Step-by-step explanation:

you can set up a proportion for it (i included a picture of it)

Answer:

I am just doing this to confirm the other person is right. It is 9.

Step-by-step explanation:

Answer:

Caleb found the product of all factors, not just the ones common to each term.

Step-by-step explanation:

answer

Caleb found the product of all factors, not just the ones common to each term. Then the correct option is C.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ 3x² – 9x

The factor of 3x² will be 3 · x · x.

The factor of 9x will be 3 · 3 · x.

GCF = 3 • 3 • x • x = 9x²

Caleb found the product of all factors, not just the ones common to each term.

Then the correct option is C.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

Answer:

what the funk

make it shorter or something

Step-by-step explanation:

Answer:

x=-4 , y=-4

Step-by-step explanation:

see the attached pic

Answer:

Step-by-step explanation:

Given

Answer choices:

A. Nine times the sum of a number and three is less  than six times the same number decreased by  twelve.

B. The product of nine and a number increased by three is less than the product of six and the same  number decreased by twelve.

C. Nine multiplied by the sum of a number and three is greater than the product of six and the ...

Answer:

QR

SR

Step-by-step explanation:

QR and SR are tangent to the circle with center P

Answer:

0.853

Step-by-step explanation:

Answer: Polynomial-an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.(like 2x+5)

Coefficient-a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (like 4 in 4x y)

Step-by-step explanation:

Answer:

b=-3

Step-by-step explanation:

4b+3=−9

-3 -3

4b=-12

4b/4 =-12/4

b=-3

Answer:

Answer is the 3rd one

Step-by-step explanation:

They are asking to see what other angle looks equivalent  to angle Y, so simply just look at the other angles and later you come to find that angle C is an exact match compared to angle Y.

Have a great day!

Answer:

x = 3b - 4a

Step-by-step explanation:

Given

4a + x = 3b ( isolate x on the left side by subtracting 4a from both sides )

x = 3b - 4a

Answer:

3^4x-5=1/27^2x+10

We move all terms to the left:

3^4x-5-(1/27^2x+10)=0

Domain of the equation: 27^2x+10)!=0

x∈R

We get rid of parentheses

3^4x-1/27^2x-10-5=0

We multiply all the terms by the denominator

3^4x*27^2x-10*27^2x-5*27^2x-1=0

Wy multiply elements

81x^6-270x^2-135x^2-1=0

We do not support expression: x^6    

Step-by-step explanation:

Answer:

d is the answer ok :)

Step-by-step explanation:

Answer:

C, For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.

Step-by-step explanation:

Answer:

C, For up to 11 hits, Game 1 gives the player higher scores. But for 12 or more hits, Game 2 does. That's because exponential growth eventually exceeds linear growth.

Step-by-step explanation:

Answer:

21 Students

Step-by-step explanation:

140 x .15 = 21

Answer:

$79.08

Step-by-step explanation:

Find 20% of 65.90. 20% as a decimal is 0.20. Multiply 0.2 and 65.90.

65.90 x 0.20 = 13.18

Add 13.18 to the original price.

13.18 + 65.90 = 79.08

Answer:

poop

Step-by-step explanation:

poop

The function g(x) is a transformation of the cube root parent function f(x) = ∛x will be g(x) = ∛(x - 4) - 3. Then the correct option is D.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function g(x) is a transformation of the cube root parent function that will be given below.

f(x) = ∛x.

If we subtract h in the variable of the function then the function shifts toward the left by h units.

And if we subtract k in the function then the function shifts downward by k units.

Then the function g(x) will be

g(x) = ∛(x - 4) - 3

Then the correct option is D.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

60 is your answer

Step-by-step explanation:

Good Luck!!!   :D

Can i have brainliest?

Answer:

XYand ST , VU and TW, TX and WX

Step-by-step explanation:

Volume of hexagonal right pyramid =[tex]\frac{1}{3}[/tex]×Area of base ×height

Area of base =[tex]\frac{1}{2}[/tex]×apothem ×perimeter

if we consider face TXY  ,here height =ST  and  length XY

(b) consider face TVW,  length VU and TW

(d) consider face TWX, length WX and TX  

Hence lengths in options (a),(b),(d) can be used to find the volume of hexagonal right pyramid .

Answer:

A, B, D

Step-by-step explanation:

EDGE 22