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Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements.

A. Segment EF is twice as long as segment AB.

B. Segment CD is twice as long as segment FG

C. The measure of angle HEF is twice the measure of angle DAB

D. The length of segment EH is 16 units.

E. The area of EFGH is twice the area of ABCD.

Answer: A. Segment EF is twice as long as segment AB

              D. The length of segment EH is 16 units

              E. The area of EFGH is twice the area of ABCD

Step-by-step explanation: One quadrilateral which is scaled copy of another quadrilateral means both quadrilateral are similar, i.e., they have congruent angles (same angles) but different sides lengths.

Comparing side GH with side CD, you notice GH's length is twice the side CD. This relationship between each corresponding sides is called scale factor.

Analysing statements above:

A. This statement is correct because segments EF and AB are corresponding sides, so EF will be twice as much as AB;

B. This is incorrect because they are not corresponding sides, so they are not related;

C. Is incorrect because measure of angle in similar quadrilateral has the exact same angle;

D. Statement is correct because if segment AD is 8 units, the corresponding segment EH will be:

EH = 2 x 8 = 16 units

E. Tis statement is correct because area of quadrilateral ABCD is proportional to the area of quadrilateral EFGH by the scale factor, therefore, area of EFGH is twice the area of ABCD.

Answer:

yes it is a 0 is not a value if its infront of an answer

Step-by-step explanation:

Answer:

21x- 21

Step-by-step explanation:

7 × (x × 3 - 3)

7 × (3x - 3)

21x - 21

I'm not sure if the answer is correct

Answer:

2

Step-by-step explanation:

(-2/3 x 3/5) + 5/2 - (3/5 x 1/6)

-2/3 x 3/5 = -6/15 = -2/5 (simplified)

3/5 x 1/6 = 3/30 = 1/10 (simplified)

Changed equation: -2/5 + 5/2 - 1/10

-2/5 x 2 = -4/10

5/2 x 5 = 25/10

Changed equation: -4/10 + 25/10 - 1/10

Answer: 20/10 = 2 (simplified answer)

Answer:

The answer is below

Step-by-step explanation:

Monique made several batches of soup for a potluck supper. Each batch required 3\4 of a pound of potatoes, and she used a total of 6 1/2 pounds of

potatoes. Solve the division problem.

What is 13/2 ÷ 3/4

Answer:

a) 3\4 of a pound of potatoes can make a batch of potluck supper. Monique used 6 1/2 pounds of  potatoes in total. Let n represent the number of batches of soup that was made, hence:

[tex]n=\frac{total\ number\ of\ potatoes\ used}{6 1/2 pounds ofpotatoes\ to\ make\ a\ batch\ of\ soup} \\\\n=\frac{6\frac{1}{2} }{\frac{3}{4} } =\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =8.67[/tex]

Therefore Monique made about 8 batches of soup

b) [tex]\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =\frac{26}{3} =8.67[/tex]

Answer:

b and e are the best options and are true

Answer:

$45

Step-by-step explanation:

ratio is 3:5

David gets 3x, Jack gets 5x

So, 3x+5x=120

8x=120

x=15

David got 3x = 3*15 = $45

Answer:

45$

Step-by-step explanation:

120/8=15

15*3=45

because it is 3:5 ratio

The constant of variation is the slope, which is the number before the x variable.

The answer is -2/3

Answer:

Side C= 22

Side B = 12

Side A= 22.16627

i do think it is 22.16627

Step-by-step explanation:

hope this helps

Answer: yes

Step-by-step explanation:

The x value does not repeat itself

Answer:

$140

Step-by-step explanation:

150-10=140

$140

HOPEFULLY IM RIGHT!!

Have A Nice Day!!!!

:)))

-1, it's fairly clear just from the table...

Answer:

-1

Step-by-step explanation:

Answer:

The dilation is 3 times smaller of divided by 3.

Step-by-step explanation:

If you look at each beginning point all the numbers are divisible by 3 then when you look at the ending points they are the same as the beginning just 3 times smaller.

Answer:

The dilation is 3 times smaller of divided by 3.

Step-by-step explanation:

If you look at each beginning point all the numbers are divisible by 3 then when you look at the ending points they are the same as the beginning just 3 times smaller.

Step-by-step explanation:

Answer:

Maximum number of gift cards she can purchase = 33

Reward points left with her = 48

Step-by-step explanation:

Let Albert's mom buys the number of gift cards = x

Points for each gift card = 75

Total points consumed to buy x gift cards = 75x

If total points with Albert's mom = 2523

So the remaining points with her = (2523 - 75x)

Inequality representing the remaining points will be,

(2523 - 75x) ≥ 0

75x ≤ 2523

x ≤ [tex]\frac{2523}{75}[/tex]

x ≤ 33.64

Maximum number of cards she can buy = 33

Therefore, reward points with her = 2523 - (75 × 33)

                                                         = 2523 - 2475

                                                         = 48

Answer:

-4.1, -3.5, -1.4, 5.3

Step-by-step explanation:

hope this helps!

Answer:

C

Step-by-step explanation:

Apex

The value of function of g (x) is,

⇒ g (x) = 2∛z

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function g(x) is a transformation of the cube root parent function,

The function is,

⇒ f (x) = ∛z

Now, After translation we get;

The value of function of g (x) is,

⇒ g (x) = 2∛z

Thus, The value of function of g (x) is,

⇒ g (x) = 2∛z

Learn more about the function visit:

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Answer: 7.07 m/s

Step-by-step explanation:

I took the quiz and that was the correct answer 5 is wrong

The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The present speed of the dog is 10 m/s.

Suppose the mass of the dog be m kg.

Since, the kinetic energy of an object is given as K = 1/2mv².

As per the question, the following expression can be written,

Initial energy, K₁ = 1/2m × 10²

                           = 50m

Final energy, K₂ = K₁/2

                           = 50m/2

                           = 25m

Using the expression for kinetic energy,

1/2mv² = 25m

=> v² = 50

=> v = √50

       = 7.07

Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.

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Answer:

A ÷ (WH)

Step-by-step explanation:

Answer:

y=3.54m

Step-by-step explanation:

it is pretty self explanatory

An algebraic expression for the statement could be as; y = 3.54m

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.

Thus which can also be used to indicate the logical syntax's order of operations and other features.

We need to write an algebraic expression for the statement.

Given that The cost of m pounds of meat when the cost per pound is $3.54.

Therefore, the expression could be as;

y = 3.54m

hence, An algebraic expression for the statement could be as; y = 3.54m

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Answer:

Step-by-step explanation:

Hope this helps! <3

The number 235 is a composite number because 235 can be divided by 1, by itself and at least by 5 and 47. So, it is possible to draw its prime tree.

The prime factorization of 235 = 5•47.

hope this help! ^^

Answer:

Union

Step-by-step explanation:

None of the terms in each inequality intersect.

so its not intersection

Its two inequalities put together so its union

Perpendicular equations have opposite reciprocal slopes, so any equation perpendicular to the equation y = 1/2 x - 2 would have the slope -2.

Now plug in the point (6, -3) into the equation y = -2x + b to find out what b is.

-3 = -2(6) + b

Multiply -2 by 6.

-3 = -12 + b

Add 12.

9 = b

So the equation is y = -2x + 9

Hope this helps

Answer:

y = 136

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, thus

y = 82 + 54 = 136

Answer:

2 1/2 ounces

Step-by-step explanation:

If each coin is 5/6 ounces and she picks up 3, we must multiply the two numbers

5/6 × 3

3 can also be written as 3/1

5/6 × 3/1

multiply the numerators and denominators separately

5 × 3/6 × 1

15/6

Both 15 and 6 have a common factor of 3 so divide both numbers by 3

15 ÷ 3/6 ÷ 3

5/2

This is simplest form in terms of improper fractions

If you want it as a whole number it would be:

2 1/2

This is because 2 goes into 5 twice evenly (whole number) with one remaining (numerator; denominator stays the same)

Hello

Answer:

2.5 ounce

Step-by-step explanation:

Weight of each coin=5/6 ounce

Weight of 3 such coins= 3*5/6

                                     = 2.5 ounces

Hope its in the simplest form....

Answer:

Step-by-step explanation:

Given parameters:

Dimensions of the equilateral triangle = 6.2cm

Unknown:

Perimeter = ?

Solution:

The perimeter of the triangle is the sum of all its sides;

  Perimeter = 3(L) for an equilateral triangle;

 Perimeter  = 3(6.2) = 18.6cm

to the nearest mm = 19.0cm

Answer:

that all depends on the car mileage, say she gets 20 mpg itd be 20x22

Answer:

Step-by-step explanation:

A(11, –2, –6) and B(–3, 7, –5) are located away from the origin (0,0,0), the points from the origin to this points is expressed as OB - OA where;

OB is the distance from the origin to the point B

OA is the distance from the origin to the point A

Using the formula for calculating distance between two points

OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²

OA = √(-6-0)²+(-2-0)²+(11-0)²

OA = √(-6)²+(-2)²+(11)²

OA = √36+4+121

OA = √161

OA = 12.688

Similarly;

OB = √(-5-0)²+(7-0)²+(-3-0)²

OA = √(-5)²+(7)²+(-3)²

OA = √25+49+9

OA = √83

OA = 9.110

Distance from the origin to the points = 12.688 - 9.110 = 3.577

Distance from the origin to the points  ≈ 3.6 (to the nearest tenth)

Answer:

The distance from the origin to point A is 12.7 units.

The distance from the origin to point B is 9.1 units.

Point A is 3.6 units farther from the origin than point B.

Answer:

a. The number of students who can play all three instruments = 2 students

b. The number of students who can play only the saxophone is 0

c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only one of the clarinet, saxophone, or flute = 4

Step-by-step explanation:

The total number of students available = 29

The number of students that can play flute = 11 students

The number of students that can play clarinet = 15 students

The number of students that can play saxophone = 12 students

The number of students that can play flute and saxophone = 4 students

The number of students that can play flute and clarinet = 4 students

The number of students that can play clarinet and saxophone = 6 students

Let the number of students who could play flute = n(F) = 11

The number of students who could play clarinet = n(C) = 15

The number of students who could play saxophone = n(S) = 12

We have;

a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)

Therefore, we have;

29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3

29 = 24 + n(F∩C∩S) + 3

n(F∩C∩S) = 29 - (24 + 3) = 2

The number of students who can play all = 2

b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)

The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0

The number of students who can play only the saxophone = 0

c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4

The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only the saxophone = 0

The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3

The number of students who can play only the clarinet = 3

The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1

The number of students who can play only the flute = 1

Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4

The number of students who can play only one of the clarinet, saxophone, or flute = 4.

Answer:the roots is 2 10 and 125

Step-by-step explanation:used a caculator

Answer:

for me the answer is a but the root  is x=5+10i

Step-by-step explanation: