What is the scale factor from ADEF to AABC?
10
6
20
12
А
7
14

What Is The Scale Factor From ADEF To AABC?1062012714

Answers

Answer 1

Answer:

The scale factor is 1/2

Step-by-step explanation:

Given

[tex]\triangle DE F[/tex] and [tex]\triangle ABC[/tex]

Required

The scale factor from [tex]\triangle DE F[/tex] to [tex]\triangle ABC[/tex]

Take a corresponding side in both triangles.

We have:

[tex]DE= 20[/tex]     [tex]AB = 10[/tex]

The scale factor from [tex]\triangle DE F[/tex] to [tex]\triangle ABC[/tex] is:

[tex]k =\frac{AB}{DE}[/tex]

[tex]k =\frac{10}{20}[/tex]

[tex]k =\frac{1}{2}[/tex]


Related Questions

please help me!!! justify your answers.​

Answers

Answer:

G is true is out divide 1/7 by 2 out get 1/14

H is false the product is always 1

I is false all numbers have a reciprocal besides 0

Answer:

g. True

h. False

i. False

Step-by-step explanation:  

g.  

[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]  

This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]  

If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]  

The numerator is 1 * 1 which is 1  

And then the denominator is 7 * 2 which is 14  

That would give you [tex]\frac{1}{14}[/tex]

h.  

The products of two reciprocals is 0  

This is not true  

Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.  

Ex:  [tex]\frac{2}{8}[/tex]

Its reciprocal is [tex]\frac{8}{2}[/tex]  

So multiply them together

[tex]\frac{2}{8}* \frac{8}{2}[/tex]  

2 * 8 = 16  

8 * 2 = 16  

[tex]\frac{16}{16} = 1[/tex]

i.  

A whole number does not have a reciprocal  

This is incorrect. If you think about it, a whole number is just the number, over 1  

Ex: [tex]\frac{6}{1}[/tex]

This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.

If you an write it as a fraction, it has a reciprocal.

The reciprocal in this case would be [tex]\frac{1}{6}[/tex]

I hope this helps, don't be afraid to reach out with any further questions!

what is the volume measured in cubic centimeters, of the box below? do not include units in your answer

Answers

Answer:

60

Step-by-step explanation:

V = lwh

V= 4x3x5

V=60

Answer:

Solution given:

l=4cm

b=3cm

h=5cm

volume=l*b*h=4*3*5=60cm³

9. Simplify 1/2 (4a + b) - 1/4 (4a + b)

А. a
B. a + 1/4 b
C. 2a + 1/4 b
D. 2a - b

Answers

B: a+ 1/4b Hope this helps!

B. [tex]a + \frac{1}{4} b[/tex] ✅

Step-by-step explanation:

[tex] \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

given sin x= 7/25 abd cos x = 24/25. what is the ratio for tan x?​

Answers

Answer:

Solution given:

[tex] sin x=\frac{7}{25}[/tex]

[tex]Cosx=\frac{24}{25}[/tex]

Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]

Tan x=[tex] \frac{7*25}{24*25}[/tex]

tan x=[tex] \frac{7}{24}[/tex]

is a required answer.

Please anybody help I need to finish this today!!

Answers

Answer:

well Liam is right that is the same statement

What is the mean of the data?

11
5
3
8

Answers

The answer to this question is 6.75
The answer is 5. After adding all the numbers I divided it by how much number there is so 3+3+4+4+5+5+5+5+6+7+8 which = 55 and then divide by 11 cus that’s how much numbers there’s are which makes the answer 5

Each member of a 5- member cross-country team runs a course. Their individual times are as follows: 2 hours 17 minutes 2 hours 48 minutes 1 hour 53 minutes 2 hours 19 minutes 1 hour 38 minutes The team's overall score is the average number of minutes it takes for its members to complete the course. What is this team's score?​

Answers

Answer:

2 hours

Step-by-step explanation:

hopefully

B(c) is a function.
1
2
L
3
А
B(C)
O A. True
O B. False

Answers

I think it’s a function!

Richard drove to the east at 2 kilometers, then 1 kilometer south, and 1 kilometer west to reach home.

Answers

Answer:

answer 4 kilometer

Step-by-step explanation:

2 + 1 + 1 = 4

Sasha is taking cooking class. The total cost in dollars of the classes can be found using the function d = 12.750 + 35, where c is the number of classes attended. Sasha will attend at least one class and no more than eight classes. What is the domain of the situation?​

Answers

Answer:

[1,8] or 1 [tex]\leq \\[/tex] x [tex]\leq[/tex] 8

Step-by-step explanation:

The domain is number of classes she can/will take, therefore the domain is between 1 and 8.

Shirts are 5% off. The original price of one shirt is $15. What is the total cost, in dollars, of a shirt at the sale price, including a 10% sales tax​

Answers

Answer:

$15.75

Step-by-step explanation:

[tex]\frac{y}{15} :\frac{5}{100}[/tex]

y × 100 = 5 × 15

100y = 75

100y ÷ 100 = 75 ÷ 100

y = 0.75

$15 - $0.75

$14.25

[tex]\frac{y}{15} :\frac{10}{100}[/tex]

y × 100 = 10 × 15

100y = 150

100y ÷ 100 = 150 ÷ 100

y = 1.5

$14.25 + $1.50

$15.75

5. Jon Metcalf signed a 253-day simple interest note for $7700 with a bank that uses exact interest. If the rate is 10 3/4% find the maturity value.

Answers

Answer:

8281.72

Step-by-step explanation:

Given:

Principal, P = 7700

Rate, r = 10 3/4 % = 43/4 % = 0.1075

Time, t = 253 days = 253/ 360

Using the relation :

A = P(1 + rt)

A = maturity value

A = 7700(1 + 0.1075*253/360)

A = 7700(1 + 0.0755486)

A = 7700(1.0755486)

A = 8281.7243

A = 8281.72

COLLEGE MATH!!! Please help me!

Answers

Answer:

( [tex]-\infty[/tex], 0) and (8, [tex]\infty[/tex])  

Step-by-step explanation:

Curve is concave downward when the second derivative is negative.

y' = [tex]\frac{x^{2} }{x^{2} -x+4}[/tex] , by the Fundamental Theorem of Calculus

y'' =   [tex]\frac{-x^2+8x}{\left(x^2-x+4\right)^2}[/tex] , which has a denominator that is always positive. The numerator [tex]-x^2+8x[/tex] is negative when x > 0 and when x < 8. So that is when y'' is negative, and consequently when the curve y is concave down.

Lawns by Brawns uses 13 ounces of fertilizer for 6.5 acres. Assume the company is fertilizing 0.5 of an acre. How much fertilizer does it need

Answers

13 for 6.5
X for 0.5
0.5/6.5*13=1
1 ounce for 0.5 arce

Amount of fertilizers required for 0.5 acres = 1 onces.

What is unitary method?

Unitary method is a process with the aid of which we discover the fee of a unmarried unit from the cost of multiple units and the cost of a couple of gadgets from the fee of a unmarried unit. it's far a method that we use for most of the calculations in math.

The technique wherein first we discover the fee of one unit after which the price of the desired wide variety of devices is known as the Unitary method.The formula for unitary approach is to find the price of a unmarried unit after which locate the value of extra or fewer devices by way of multiplying their quantity with the value of a unmarried unit.

In case we are having the cost of multiple items with us, then we are able to genuinely divide the entire cost with the quantity of units to get the price of 1 unit and this technique is known as the unitary method. In easy terms, the unitary method is used to locate the cost of a unmarried unit from a given multiple.

Unitary approach is the technique via which we discover the value of a unmarried unit from the value of multiple units and then use this price to locate the cost of the specified wide variety of devices. cost of many devices.

explanation;

13 0nces of fertilizers required for 6.5 acres

for 1 acres land = 13 / 6.5
onces of fertilizers required = 2 onces  

for 0.5 acres = 2 *0.5 = 1 onces of fertilizers required.

Hence required fertilizers = 1 onces.

Learn more about unitary method here:-https://brainly.com/question/24587372

#SPJ2


Suppose you save $1 the first day of a month, $4 the second day, $16 the third day, and so on. That is, each day you save four times as much as you did the day before. What will you put aside for savings on the seventh day of the month?

Answers

Answer:

$ 4096 on the 7th day

Step-by-step explanation:

From the amount earned for the first 3 days it's 1 , 4 , 16 , .... We realize it increases exponentially.

So therefore:

Day 1 =4⁰

Day 2=4¹

Day 3=4²

Day 4=4³

Day 5=4⁴

Day 6=4⁵

Day 7=4⁶

Therefore on day 7 he saves 4⁶ which is $4096

7pie/2 converted to degrees

Answers

Formula to convert radian into degrees

radian × (180°/π) = degrees

7π / 2 × 180 / π = 630°

For i^2 =-1, (3-i)^2 = ?

A. 8
B. 10
C. 8-6i
D. 8 + 6i
E. 10-6i

Answers

C. 8- 6i
(3- i) to the power of 2 (expand the expression)

9- 6 i + i to the power of 2
calculate

9 - 6i - 1
calculate

8- 6i.

I need this please ya

Answers

GE = 26

Step-by-step explanation:

OP = 16 + 9 = 25

PE - OG = 7

Using Pythagorean theorem,

(GE)^2 = (OP)^2 + (PE - OG)^2

=(25)^2 + (7)^2

= 625 + 49

= 674

or

GE = √674 = 25.96 or 26

Please look at the image

Answers

m/_A= 120°
m/_B=30°
m/_C= 100°

sum of all the angles=120+30+100 = 250°

Step-by-step explanation:

m∠A = 70°

m∠B = 30°

m∠C = 80°

Sum of all three angles = 70° + 30° + 80° = 180°

Hope it helps....!

The question is below.

Answers

Answer:

3/14

Step-by-step explanation:

12/56 is equivalent to 3/14

Answer:

14

Step-by-step explanation:

We simplify the fraction 12/56 by dividing the top and bottom by 4 to get 3/14. Thus, it is clear that the question mark is 14.


PLSSSS HELLPPPPP!!!

Answers

Answer: B, D, and F

Step-by-step explanation:

Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.

By understanding those info, it should be easier to answer.

For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).

For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.

For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.

For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.

For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).

For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.

Hopefully this helps!

B and F
All u need to do is substitute the numbers given in the possible solutions into the general equation.

write a trigonometric expression for the refracted angle and write the refracted angle in terms of distance d and material width w

Answers

Answer: The Diagram of the refracted angle is attached below

answer :  ∅ = cos^-1 ( w/d )

Step-by-step explanation:

The trigonometric expression for the refracted angle  

with respect to ; Distance ( d )  and width ( w )

Cos ∅ = Adjacent / Hypotenuse ----- ( 1 )

where; adjacent = W . Hypotenuse = d

back to equation 1

Cos ∅ = w / d

∅ = cos^-1 ( w/d )

Which set of values could be the side lengths of a 30-60-90 triangle?
O A. {6, 12, 12 3 }
O B. {6,62,12}
O C. {6, 12, 12.12}
O D. {6,6,13,12}

Answers

Answer:

my only question is A

Step-by-step explanation:

when you have a 30-60-90 triangle, you sides will always have a set pattern

Answer: A) {6, 12, 12 3 }

explanation: The sides of a 30-60-90 triangle will always have a consistent design. Thus, the answer is A.

In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan. a) Use a 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans. Give an interpretation of this interval. (5 Points) b) Would a 99% confidence interval be wider or narrower than the one you calculated in part (a)

Answers

Answer:

a) The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

b) Wider

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan.

This means that [tex]n = 3900, \pi = \frac{1911}{3900} = 0.49[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 - 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.4768[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 + 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.5032[/tex]

The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

Question b:

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The higher the confidence level, the higher the value of z, thus the higher the margin of error and the interval is wider. Thus, a 99% confidence interval is wider than a 90% confidence interval.

if 2 X + 1 ,2 x-1 and 3 X + 4 are in AP find the value of x​

Answers

Answer:

x = - 7

Step-by-step explanation:

Given that the terms are in AP , then

a₃ - a₂ = a₂ - a₁ , substitute values

3x + 4 - (2x - 1) = 2x - 1 - (2x + 1) ← distribute and simplify both sides

3x + 4 - 2x + 1 = 2x - 1 - 2x - 1

x + 5 = - 2 ( subtract 5 from both sides )

x = - 7

What is 26.509 written in Expanded Form?

Answers

(2 x 10) + (6 x 1) + (5/10) + (0/100) + (9/1000)

How many books could you read in 114 days if you read 2 books every 3 days?

Answers

Answer:

76 books

Step-by-step explanation:

2/3 × 114 = 76

__________

ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd x/8+3=12

Answers

?????????????????????????

Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla ice cream, so that it is level with the top of the cone. Gail knows that the radius of the inside of the cone top is 25 millimeters and the height of the inside of the cone is 129 millimeters.

Using 3.14 for , how much vanilla ice cream will one chocolate dip cone hold when filled to be level with the top of the cone?

Answers

Answer:

In other words, they want you to find the volume of the cone.

Volume of a cone=1/3 (pi * radius^2 *h)

Volume=1/3 [3.14* (22)^2 * 120]

Volume=1/3 (3.14*484*120)

Volume=1/3 (182371.2)

Volume= 182371.2/3

Volume=60790.4

The volume of the cone is 60790.4mm^3

But that is not the final answer. Since liquid is measured in litres, You need to convert it to millilitres. So the answer is that one chocolate dip cone can hold a maximum of 60.9704 milliliters  

Step-by-step explanation:

Hope this helps


Find the area of the shape.

Answers

Answer:

78.5 un²

Step-by-step explanation:

A = π · r²

π · 10²

314 un²

314 un² ÷ 4

78.5 un²

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