Please help!!!

Triangle ABC is similar to triangle PQR
AB = 4cm
PQ=12cm
RQ= 16.5 cm
AC = xcm
PR= ycm

(a) Calculate the length of BC


(b) Write down an expression for y in terms of x

Check the picture

Please Help!!! Triangle ABC Is Similar To Triangle PQRAB = 4cmPQ=12cmRQ= 16.5 CmAC = XcmPR= Ycm (a) Calculate

Answers

Answer 1

Answer:

5.5

3y = x

Step-by-step explanation:

→ Find the scale factor enlargement

12 ÷ 4 = 3

→ Divide 16.5 by 3

5.5

→ Write SF in terms of x and y

3y = x

Answer 2

The Length of BC is 5.5 cm and equation for y in terms of x is y = 3x

What are similarity in triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

According to question

Triangle ABC ≅ triangle PQR  

where,

AB = 4cm

PQ=12cm

RQ= 16.5 cm

AC = xcm

PR= ycm

According to the similarity rule

the same ratio of corresponding sides

therefore,

[tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR} \\[/tex]

(a) Calculate the length of BC

[tex]\frac{AB}{PQ} = \frac{BC}{QR}[/tex]

⇒ [tex]\frac{4}{12} = \frac{BC}{16.5}[/tex]

⇒ [tex]\frac{1}{3} = \frac{BC}{16.5}[/tex]

⇒ BC = 5.5 cm

 (b) Write down an expression for y in terms of x

we know  ,  [tex]\frac{AB}{PQ} = \frac{AC}{PR} \\[/tex]

⇒ [tex]\frac{4}{12} = \frac{x}{y} \\[/tex]

⇒ [tex]\frac{1}{3} = \frac{x}{y} \\[/tex]

⇒ [tex]y=3x[/tex]

Hence, Length of BC is 5.5 cm and equation for y = 3x

To know more about similarity in triangles  here :

https://brainly.com/question/20502441

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Answers

Answer:

18 kilometers

Step-by-step explanation:

If each 1 cm represents 9 kilometers.

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Answer:

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What quadrilateral always has 4 congruent angles and opposite sides that are congruent and parallel? Please answer it correctly.

Answers

Answer:

Square

Step-by-step explanation:

Requirements that make a square, a square;

Four sidesCongruent angles (all 90°)Opposite sides are congruent/the same.Opposite sides are also parallel because the lines of a square do not intersect.

Answer:

Square

Explanation:

A square has four congruent angles as each angle measure is 90°. A square can never have an angle other than 90°. A square also has all four equal sides, and its opposite side lengths are parallel because all angles of a square must be 90°.

Please look at attached image for reference.

A triangle has angles of 124°, 28°, and 28°. Will these angles create a triangle?

Answers

Answer:

yes it will

Step-by-step explanation:

28+28=56

124+56=180

a triangle consists of angles that add up to 180 degrees

How much material is needed to make the popcorn container?

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94 thank me later have a gooooooooooddddd day

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Answer:

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Step-by-step explanation:

A stained glass window has the dimensions shown. What is the perimeter of the hole that should be cut in the wall in order for the window to be installed?

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Answer:  She observed older fossils that contained many of the same minerals as the newer ones

Step-by-step explanation:

Answer:

chaupapi

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Step-by-step explanation:

6. Find the mean and the median for these data,
Mean
Median
The points scored by a basketball team in its last 6 games
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Answer:

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Answer:

y= -1/2x

Step-by-step explanation:

Option B passes through the origin, by -1/2x

Zoe has a circular shaped rug on her bedroom floor. The diameter of the rug is 8 feet. What is the circumference of the rug?

Answers

Answer:

It is 25.13 (simplified)

Step-by-step explanation:

3.14(pi) x 8 is 25.14

PLSSS HELP IF YOU TURLY KNOW THISS

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Answer:

Its A

Step-by-step explanation

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3 students are in a race. How many ways can they finish in 1st, 2nd, and 3rd place?

Answers

They can finish in 1 way

ba^4 * (2ba^4)^-3

Please help

Answers

Answer:

  1/(8b^2a^8)

Step-by-step explanation:

The given expression can be simplified using the rules of exponents.

  [tex]ba^4\times(2ba^4)^{-3}=\dfrac{ba^4}{(2ba^4)^3}=\dfrac{ba^4}{8(ba^4)^3}=\dfrac{1}{8(ba^4)^2}=\boxed{\dfrac{1}{8b^2a^8}}[/tex]

__

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Additional comment

It can be useful to think of an exponent as indicating repeated multiplication: 2^3 = 2×2×2, for example. Of course, the repeated multiplication can be nested: (4^2)^3 = (4^2)×(4^2)×(4^2) = (4×4)×(4×4)×(4×4) = 4^6

Numerator and denominator factors cancel in the usual way.

The table represents some points on the graph of a linear function
x y
-7 -2
-3 4
5 16
15 31
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A. 2/3

B 3/2

C - 2/3

D - 3/2

Answers

Answer:

D

Step-by-step explanation:

C666666666666666666666

If square root 6 is the geometric mean between 4 and another number, then the number is?

Answers

Answer:

The answer is 1.5

pls give brainliest ily<3

look at the screenshot

Answers

Answer:

x = 5

y = 2

Step-by-step explanation:

multiply by -2 the second equation and add the first equation to eliminate "x"

[tex]4x+5y=30\\-4x-10y=-40[/tex]

_______________

            [tex]-5y=-10\\y=\frac{-10}{-5} =2[/tex]

To find "x", substitute the value of "y" in any equation. I do it in the first

[tex]4x+5(2)=30[/tex]

[tex]4x+10=30[/tex]

[tex]4x=30-10\\x=20/4=5[/tex]

Hope this helps

Answer:

i got you

Step-by-step explanation:

first you will make the easiest equation into y=mx+b

2x=5y=20

subtract 2x from it self and 20, you will eliminate the 5 but keep the y then you will get y=2x+20

then you will substitute it into the y in the other equation 4x+5(2x+20)=30

after doin that you will multiply 5 by both the number in the parenthesis

4x+15x+100=30 add like terms 4x+15x =

19x+100=30 subtract 100 fromm itself and 30 you will get -70

-70 divided by 19x then you will get your answer

The speed of a wave in the ocean in meters per second can be determined using the function f(x) = 3.13[tex]\sqrt{x}[/tex] ,
where x represents the depth in meters of the water under the wave.
a. Graph the function.
b. Identify the domain and range.
c. How fast are the waves in the figure moving over the water?

Answers

Answer:

See below ↓

Step-by-step explanation:

a. In the attachmentb. Domain : x ≥ 0, Range : y ≥ 0c. f(x) = 3.13√10 = 9.89 m/s

a. Graph shown Below.

b.

domain is in x-axisrange is in y-axis

domain : x ≥ 0

range : f(x) ≥ 0

c.

rate of waves:

[tex]\sf f(x) = 3.13\sqrt{x}[/tex]

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[tex]\sf f(x) = 9.9 \ m/s[/tex]

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Answers

Given that the tangent KL to the circle at point J and the interior triangles ∆JGL, and ∆JFL, we have;

C. mHJL = mJGH

D. mGHJ = mKJG

How can the true statements be found?

From the tangent secant interior angles measure theorem, we have;

mHJL = 0.5•mJFH

mJGH = 0.5•mJFH

Therefore;

mHJL = mJGH

Similarly

mGHJ = mKJG

Learn more about the tangent and secant of a circle here:

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I Don’t get this, someone help!!

Answers

Step-by-step explanation:

4)For answer of no 4

the third side can be gotten by pythagoras theorem;

It says,

hyp^2=opp^2 + adj^2

hyp= ?

opp=30

adj=40

so,

hyp^2=30^2 + 40^2

hyp^2=900+1600

hyp^2=2500

square rooting both sides,

hyp=50ft

Therefore the missing side is 50ft

5) for number 5

opp is missing

remember,

hyp^2=opp^2+adj^2

opp^2= hyp^2-adj^2

opp^2=41^2-40^2

opp^2=1681-1600

opp^2=81

square rooting both sides,

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what are factors of the expression [tex]x^{2}[/tex]+x 20?

Answers

Answer:

Step-by-step explanation:

answer: (x-4)(x+5)

x^2 + x - 20

x^2 + 5x -4x -20

x^2 + 5x - 4x - 20

x(x+5) -4 (x+5)

x(x+5)-4(x+5)

(x-4)(x+5)

Can someone please help?

Simplify, 81^1/4

Answers

Answer:

3

Step-by-step explanation:

81^(¼) can also be witten as the fourth root of 81, which happens to be 3.

Answer:

3

Step-by-step explanation:

(3*(to the fourth power))1/4

How many ice cream desserts consisting of four scoops, of either vanilla or hazelnut flavor, are possible

Answers

2 flavors and 4 scoops


total different possibilities = 2^4 = 16


answer: 16

If 8 parts take 20 minutes to make, how many minutes does it take to make 6 parts?

Answers

Answer: 15 mins

Step-by-step explanation:

20 ÷ 8 = 2.5 (how many Mins 1 part takes)

2.5 x 6 = 15

It will take 15 minutes does it take to make 6 parts.

What is the unitary method?

The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

If 8 parts take 20 minutes to make then 1 part take x time which is equal to;

[tex]\rm x=\dfrac{20}{8}\\\\x= 2.5 \rm \ minute[/tex]

One part takes 2.5 minutes.

The minutes does it take to make 6 parts are;

[tex]= 6 \times 2.5\\\\=15[/tex]

Hence, it will take 15 minutes does it take to make 6 parts.

To know more about the unitary method click the link given below.

https://brainly.com/question/13823511

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help me out i will give brainlist

Answers

Answer:

no

Step-by-step explanation:

0.06 = [tex]\frac{6}{100}[/tex] ← that is 6 books out of 100

she requires to have 60 out of 100 , that is

[tex]\frac{60}{100}[/tex] = 0.6

A scale model of a ramp is a right triangular prism as given in this figure. in the actual ramp, the triangular base has a height of 0.5 yards. what is the surface area of the actual ramp, including the underside? enter your answer as a decimal in the box.

Answers

The surface area of the actual ramp including the underside is 16.8 ft²

The height of the actual ramp = 1.2 feet  

The height of the model = 6 cm

What is the surface area of a right triangular prism?

A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm

Actual base = 16 cm × 0.2 ft/cm = 3.2 ft

convert the units

9 cm = 9 cm × 0.2 ft/cm = 1.8 ft

10 cm = 10 cm × 0.2 ft/cm = 2 ft

The surface area of a right triangular prism

= (Perimeter of the base × Length of the prism) + (2 × Base Area)

Surface area of actual ramp = 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)

= 16.8 ft²

Hence, the surface area of the actual ramp including the underside is 16.8 ft²

Learn more about the area here:

brainly.com/question/25292087

Answer:

7.2 yd² for K12

A train track through a mountain is 1600 feet long and makes an angle of 1.6 with the horizontal. What is the change in elevation from one end of the tunnel to the other.

Answers

Step-by-step explanation:

law of sine :

a/sinA = b/sinB = c/sinC

with the sides and correlating angles being always opposite to each other.

we are dealing with a right-angled triangle here.

the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.

the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.

the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.

so, we have

1600/sin(90) = elevation difference / sin(1.6)

sin(90) = 1

1600 = elevation difference / sin(1.6)

elevation difference = 1600 × sin(1.6) =

= 1600 × 0.027921639... =

= 44.67462196... ft

≈ 44.7 ft

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