Mathematics High School

5. The two figures are scaled copies of each other.
a. What is the
scale factor that
takes Figure 1
to Figure 2?
e
P
ס
R
С
A
A
b. What is the
scale factor that
takes Figure 2.
to Figure 1?
D
Figure 1
Figure 2
S

5. The Two Figures Are Scaled Copies Of Each Other.a. What Is Thescale Factor Thattakes Figure 1to Figure

Answers

Answer 1

The quadrilaterals are similar and are related by a scale factor, taken from

a specific location, that maps the points on one figure to the other.

a. The scale factor that takes Figure 1 to Figure 2, is 3

b. The scale factor that takes Figure 2 to Figure 1 is [tex]\dfrac{1}{3}[/tex]

Reasons:

From the question, we have that Figure 1 is a scaled copy of Figure 2, therefore;

Let ABCD represent Figure 1, we have;

ABCD ~ PQRS

Length of [tex]\overline{AD}[/tex] = √(2² + 3²) = √(13)

Length of [tex]\overline{PS}[/tex] = √(6² + 9²) = √(117) = √(9 × 13) = 3·√(13)

Therefore;

a. The scale factor that takes Figure 1 to Figure 2, SF₁₂, is therefore;

[tex]SF_{12} = \mathbf{\dfrac{\overline{PS}}{\overline{AD}}}[/tex]

Which gives;

[tex]SF_{12} = \dfrac{3 \cdot \sqrt{13} }{\sqrt{13} } = 3[/tex]

The scale factor that takes Figure 1 to Figure 2, SF₁₂ = 3

(3 times the lengths of Figure 1 gives the lengths on Figure 2)

b. The scale factor that takes Figure 2 to Figure 1, SF₂₁, is given as follows;

[tex]SF_{21} = \mathbf{\dfrac{\overline{AD}}{\overline{PS}}}[/tex]

Which give;

[tex]SF_{21} = \dfrac{\sqrt{13} }{3 \cdot \sqrt{13} } = \mathbf{\dfrac{1}{3}}[/tex]

The scale factor that takes Figure 2 to Figure 1, SF₂₁ is [tex]\underline{\dfrac{1}{3}}[/tex]

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Related Questions

write the equation in slope intercept-form for the line that passes through (0,-7) and (10,3)

Answers

The answer is y=x-7.

Please help me solve this

Answers

Answer:

the answer will be something like 18

the answer is 4
6/2 x 6/2 = 36/4 = 9
15x2/1+5 = 30/6 = 5
9-5=4

it's the logique
show that for all x >0​

Answers

Answer:

See below

Step-by-step explanation:

We can show that for x = 0, both sides of the inequality get the value of 1.

With x > 0, the left side goes towards - ∞ with the negative slope and the right side is always positive.

I'll give a graphical solution.

Hope this helps.

(7g - 6) - (-3n – 4) =​

Answers

Answer:

7g + 3n - 2

Step-by-step explanation:

when you subtract you 'add the opposite'; subtracting a negative is the same as adding a positive

for example, using the above statement we can rewrite the problem as:

7g - 6 + 3n + 4

we can combine -6 and 4 to get -2

7g + 3n - 2 or 7g + 3n + (-2)

if f(x)=3x-5 and g(x)=x², find (f o g)(3)

Answers

Answer:

(f ∘ g) (3) = 22

Step-by-step explanation:

f( x + 3x - 5; g (x) = x² ∴ g ( 3 ) = 3² = 9

( f ∘ g ) ( 3 ) = f(g(3)) = f ( 9 ) =  3 · 9 - 5 = 27 - 5 = 22 [Ans]

What is the value of the correlation coefficient r of the data set?



Scatter Plot Correlation Data Table


−0.81


−1


0.66


0.81

Answers

The first option love!

H
13. Stretch Your Thinking Jenny and George combined their
allowances to buy the same present for each of their four
teachers. Jenny had $13.75. George had $2.26 less than
Jenny. How much did one present cost?

Answers

Answer: One present cost 6 dollars and 31 cents.

Step-by-step explanation:

Ok so first you subtract 2.26 from 13.75 to find out the total that George has.

That would be 11.49.

Next you add them together because they combine allowances.

So thats 25.24.

Next you divide this by 4 because they are buying the same present for their four teachers, therefore all will be the same price.

This would be 6.31

You leave the decimals because your talking about money.

Hopefully this helps. Have a wonderful day. :)

Marking me brainly really helps if you found my answer helpful!

what is the amount of water in the aquarium at 0 minutes

Answers

Answer:

I would guess it would be 0 but is there a graph or background info

?

Step-by-step explanation:

Subtract −4x−2y+6 from 3x−2y+4 . HELP ME OUT YOULL GWT 40 POINTS
−x−4y+10
7x−2
−7x−4y+2
I don't know.

Answers

The simplified expression is 7x- 2.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

−4x−2y+6 from 3x−2y+4.

So, subtraction will be as follows

3x - 2y + 4-( -4x  -2y + 6 )

or, 3x - 2y + 4  + 4x + 2y -6

or, 7x - 2

Hence, the simplified expression is 7x- 2.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

Solve the equation −4(x − 1) + 6x = 2(17 − x)
solve for x.

Answers

Answer:

x = 15/2

Step-by-step explanation:

-4x + 4 + 6x = 34 - 2x

2x + 2x = 34 - 4

4x = 30

x = 30/4

x = 15/2

Twenty-three girls tried out for the cheerleading squad. Only 12 could be chosen for
the team. How many girls were not selected?
girls

Answers

Answer:

dude...

Step-by-step explanation:

11

also this is easy pz

Answer:

11 Girls

Step-by-step explanation:

23 - 12 = 11

1 escribe el numero entero asociado a cada situacion a) 10 metros bajo el nivel del mar b)perdio 5000 pesos c)40° bajo cero d)gana 2000 pesos | porfaa es para 1 hora

Answers

Answer:

a) - 10m

b) - $5000

c) - 40°

d) + $2000

Step-by-step explanation:

I hope this help you

Plz help this is for a grade‼️ the ratio of males to females in the middle school is 6:8. If there are 126 make students,how many frmale stufents are there?​

Answers

Answer:

kzkakkalqlqoqowowpwowppw

Please answer my question and give me the explanation clearly.I will give you more points

Answers

use the process of cross multiplication here
so
6=15
x=12.5
we need to find x by cross multipliying

so 15(x)
6(12.5)
so we get
15x= 75
now we divide 15

x= 75/15
x= 5 should be the answer


i hope it’s right
have any questions ask pls
have a great day :)

Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of the sweatshirt before tax?

Answers

Answer:

$ 24.75

Step-by-step explanation:

10/100 = x/27.50 (10% is what of 27.50) (%/100 = is/of)

(27.50)(10)/100 (cross multiply)

= $2.75 (tax)

27.50 - 2.75 = $ 24.75

Pls help! A B C,or D​

Answers

Answer:

c or d

Step-by-step explanation:

Answer:

D. y = -2x - 10

Step-by-step explanation:

Slope- intercept form:

y = mx + b

In the process of solving it was found that:

m = -2 and b = -10

The equation therefore is:

y = -2x - 10

Correct choice is D


Item 1
What is the slope of the line on the graph?


WORTH 20 POINTS
Enter your answer in the box.

Answers

Answer:

-2

Step-by-step explanation:

Hope it helps

Question number eight.

Answers

Answer:

true

Step-by-step explanation:

a to there powe8 and a to the power1


2.2.10^6 cm in standard notation

Answers

Answer:

1000000 or 2200000

Step-by-step explanation:

(im not sure if your asking for 10^6 or for 2.2 times 10^6 so whichever one applies to you

find the base of an isosceles triangle whose area is 12 cm square and one of the equal sides is 5cm.
​

Answers

b≈6cm
or
8cm

Hope that helps!!! Good luck

Rectangle PROM has a perimeter of 42 inches, and OR = 8 inches. What is the area of the rectangle PROM?

Answers

Answer:

104 in²

Step-by-step explanation:

If OR = 8 then 8 x 2 = 16

PM= (42-16)/2=13

Therefore area = 8 x 13 = 104 in²

To check the perimeter is right:

2(8+13) = 42

can someone help me please

Answers

Answer:

53 degrees

Step-by-step explanation:

m<J = m<Q

Both triangles are congruent to each other by the given information. Since both triangles are congruent, their corresponding parts must also be congruent. Therefore, the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) Postulate can be applied. As a result, all corresponding side lengths and angle measures are congruent in both triangles. That means that m
Feel free to give Brainliest!

Enter the value of x. The diagram is not to scale.
680
119°
.70

Answers

Answer:

51°

Step-by-step explanation:

We know that all angles in a triangle add up to 180°

We have one of them, 68° for now.

We also know the angle on the outside of the triangle that forms with one side being extended. That side is a straight line (180°)

Which means the interior angle there would be 180-119 = 61°

This means that we have 2 out of 3 angles now. Now we just add them up and subtract them from 180°.

180° - (68+61) = 51° is our final answer.

Let me know if that makes sense, or if you have any other questions.

Hope I helped! :)

Marie is choosing a bag of apples to make into a pie. She thinks the pie will be tastier if it has more apples. The bag of green apples weighs 4.75 pounds. The bag of red apples weighs 4.5 pounds.

Answers

Answer:

I don't know what the question is but there will be 9.25 pounds of apples?

Step-by-step explanation:

-2×(-2)³×(-2)×3+(-2)×3×(-1)³

Answers

Answer:

-90

Step-by-step explanation: I hope its the right answer. If not I'm sorry.... I'm just a kid...

Subtract. 3- (-5) - (-2) Plot the solution on the number line.​

Answers

Answer:

10. put a dot on the number 10

Step-by-step explanation:

3-(-5)-(-2)

when subtracting negatives, you actually end up adding

so

3+5+2=10

3 - (5) - (-2) = 10.

The solution will be positive 10 on the line.

What is 4 ÷ 3/5 A.6 B.6 2/5 C.6 2/3 D.8

Answers

(about) 6.6 or 6 2/3

A cheetah runs 296 feet in 4 seconds. How far could a cheetah run in 10
seconds at this rate?

Answers

Answer:

740 feet

Step-by-step explanation:

The speed of the cheetah is 74 feet per second:

speed = distance ÷ time

= 296 ÷ 4 = 74 feet per second

In 10 seconds:

distance = speed × time

= 74 × 10

= 740 feet

Answer:

740 Feet

Step-by-step explanation:

Given:  296 ft= 4 sec

 

To Find: 10 sec = [tex]\left[?}\right][/tex] ft

First we need to Find How many feet are in 1 second.

To find that,

Do 296 divided by 4

=

74

So 1 second = 74 Feet.

Then 74 ft Times 10 second

Which gives you

740 Feet.

Therefore, at 10 second rate gives you 740 Feet.

Find the inverse of each of the given funcions
fo) = 4x-12
51x)=
DONE
o

Answers

Let y be f(x)

[tex]\\ \sf\longmapsto y=4x-12[/tex]

Swipe the values

[tex]\\ \sf\longmapsto x=4y-12[/tex]

Isolate y

[tex]\\ \sf\longmapsto 4y=x+12[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{x+12}{4}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{1}{4}x+3[/tex]

Hence.

[tex]\\ \sf\longmapsto f^{-1}(x)=\dfrac{1}{4}x+3[/tex]

Let y=f(x)

y=4x-12

Now interchange the variables

x=4y-12

The y we need now

x+12=4y

Divide both sides by 4

y=(x+12)/4

This is the inverse

Find the gradient and intercept on the x and y axes of the straight line with the following equation.

y + 5x = 13
​

Answers

Answer:

gradient is 5

Step-by-step explanation:

x intercept, replace y with 0

y +5x= 13

0+ 5x =13

0 - 13= -5x

-13= -5x

-13/-5 = -5x/-5

x = 13/5

y intercept, replace x with 0

y+5x=13

y+5(0)=13

y+0=13

y =13

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