here is the image of triangle ABC and its dilation using Center D and scale factor 2. Why is B'C' on the same line as its corresponing side segment BC​

Answers

Answer 1

Since only the lengths increase by scale factor,  B'C' on the same line as its corresponding side segment BC​ .

What is the Dilation?

Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.

The following are the properties of dilation of the triangle:

1)measures of the angles will not change

2)The sides  of the image of the triangle are multiplied  by the scale factor 2.

So,

A'B'=2AB

B'C'=2BC

A'C'=2AC

Since only the lengths  increase by scale factor,  B'C' on the same line as its corresponding side segment BC​ .

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Related Questions

If log₂(4x + 6) = 4, then x = ____
You may enter the exact value or round to 4 decimal places.

Answers

Answer: -1/2

Step-by-step explanation: To solve this problem, we can use the properties of logarithms to isolate the variable x on one side of the equation. The properties of logarithms tell us that the logarithm of a product is the sum of the logarithms of the factors, and that the logarithm of a power is the exponent times the logarithm of the base.

If log₂(4x + 6) = 4, we can rewrite the left side of the equation as follows: log₂(4x + 6) = log₂(2^4 * (2x + 3))

Then, using the property of logarithms that the logarithm of a product is the sum of the logarithms of the factors, we can simplify the equation as follows: log₂(4x + 6) = 4 + log₂(2x + 3)

Now, we can use the property of logarithms that the logarithm of a power is the exponent times the logarithm of the base to simplify the equation even further: log₂(4x + 6) = 4 + 1 * log₂(2x + 3)

Since the logarithm of a power is the exponent times the logarithm of the base, this means that the logarithm of a number is the logarithm of that number divided by the logarithm of the base. Therefore, we can divide both sides of the equation by log₂ to isolate the variable x on one side of the equation:

log₂(4x + 6) / log₂ = 4 + 1 * log₂(2x + 3) / log₂

(4x + 6) / 1 = 4 + (2x + 3) / 1

4x + 6 = 4 + 2x + 3

4x + 6 = 2x + 7

2x = -1

x = -1/2

Therefore, if log₂(4x + 6) = 4, then x = -1/2.

find the differece of 7/10 and 4/40 select all that applly
A.32/40
b.24/40
c.3/5
d.1 3/5
e.24/10​

Answers

Answer:

Both answers C & E are correct

Step-by-step explanation:

[tex]\sf\frac{7}{10}-\frac{4}{40}[/tex]

First, make the denominator the same to solve the fraction.

For that, multiply both the numerator and denominator by 4 in the fraction 7/10.

[tex]\sf\frac{7*4}{10*4}-\frac{4}{40}\\\\\sf\frac{28}{40}-\frac{4}{40}\\\\\sf\frac{28-4}{40}\\\\\sf\frac{24}{40}[/tex]

To write the answer in its simplest form divide both the numerator and denominator by 8.

[tex]\sf\frac{3}{5}[/tex]

Therefore, the answer is [tex]\sf\frac{24}{40}[/tex] = [tex]\sf\frac{3}{5}[/tex]

Please help me as soon as possible.
How many times as great is the value of 1.5 than the value of 0.15? Please Explain.

Answers

Answer:

Step-by-step explanation:

1.5/0.15=10

1.5 is 10 times greater than 0.15

The solution is 10

The number of times the number 1.5 is greater than the number 0.15 is 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented A

Now , the value of A is

Let the first number be P = 1.5

Let the second number be Q = 0.15

Now , the number of times the number P is greater than Q is given by the equation

A = P / Q

Substituting the values in the equation , we get

A = 1.5 / 0.15

On simplifying the equation , we get

A = 10

Therefore , the value of A is 10

Hence , the number of times 1.5 is greater than 0.15 is 10 times

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Isaac is going to a carnival that has games and rides. Each game costs $1.50 and each ride costs $5. Isaac spent $44.50 altogether at the carnival and the number of rides he went on is 5 more than the number of games he played. Determine the number of games Isaac played and the number of rides Isaac went on.

Answers

Answer:

g-games

r-rides

1.5 g + 2.5r= 16.5

g=2r

Step-by-step explanation:

g: # of games played

r: # of rides ridden

total amount spent:  1.50g + 2.50r = 16.50

relationship of games to rides: g = 2r

Hope this helped! :D

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of games is 3.

The number of rides is 8.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of rides = m + 5

Number of games = m

Now,

Each game costs $1.50 and each ride costs $5. Isaac spent $44.50 altogether at the carnival.

This means,

1.50m + 5(m + 5) = 44.50

1.50m + 5m + 25 = 44.50

6.50m = 44.50 - 25

m = 19.5/6.50

m = 3

Now,

The number of games = 3.

The number of rides.

= m + 5

= 3 + 5

= 8

Thus,

The number of games is 3.

The number of rides is 8.

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8 - 90 + 2x = 36
What will this. I need help

Answers

Answer: x = 59

Step-by-step explanation:

i dont know what you are trying to figure out but x = 59 im guessing u need

Answer:

Step-by-step explanation:

First, add

90

and subtract

2

x

from each side of the equation to isolate the

x

term while keeping the equation balanced:

8

x

90

+

90

2

x

=

2

x

36

+

90

2

x

8

x

2

x

90

+

90

=

2

x

2

x

36

+

90

(

8

2

)

x

0

=

0

+

54

6

x

=

54

Now, divide each side of the equation by

6

to solve for

x

while keeping the equation balanced:

6

x

6

=

54

6

6

x

6

=

9

x

=

9

What is .65 as a fraction?
Simplified

Answers

.65 is equal to 13/20

Answer: 0.65=13/20

Step-by-step explanation: First, rewrite the decimal number as a fraction and put 1 in the denominator's place. 0.65/1
Then, multiply to get rid of 2 decimal places. Then, multiply top and bottom by 10^2 which equals 100

0.65/1 × 100/100= 65/100

Find the Greatest Common Factor or GCF of 65 and 100, and reduce the fraction by dividing both the numerator and denominator by GCF = 5,

[tex]\frac{65/5}{100/5}[/tex]=13/20

Hope this helps!

I need help with this

Answers

B(x) as a product of linear factors is B(x) = (x+2)(x+7)(x-1)

What is a linear factor?

The linear factors of a polynomial are the first-degree equations that are the building blocks of more complex and higher-order polynomials. Linear factors appear in the form of ax + b and cannot be factored further.

if ( x+2) is a factor of the polynomial, then x+2 can divide the polynomial without remainder.

see attached document for detailed division of the polynomial [tex]x^{3}+8x^{2} +5x-14[/tex].

In conclusion B(x) as a product of linear factors is B(x) = (x+2)(x+7)(x-1)\

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Can you guys please help?
A science fair has 405 projects. The coordinator displays the projects in rows of 42. How many rows have exactly 42 projects?
I really do not understand this. It would really help me if after you have answered the question, you could explain how you got that answer. Thank you!

Answers

Total 9 rows will have exactly 42 projects.

What are the fundamental mathematical operations?

The Fundamental mathematical operation are Addition,Subtraction

Multiplication and Division.

Given,

The total number projects in the science fair is 405.

The  coordinator displays the projects in rows of 42.

To know the exact number of rows having 42 projects

we will divide total project by 42 i.e; 405/42.

The quotient will be the number of row exactly having 42 projects

and the last row will contain less than 42 projects which is remainder.

i.e;  Dividing 405 by  42

    quotient will be 9.

      remainder will be 27.

So,Total 9 rows will have exactly 42 projects.

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in January the depth of a lake was 943 feet in August the depth of the lake was 754.4 what is the percentage decrease of the depth of the lake from January to August

Answers

The percentage decrease of the depth of the lake from January to August is 20%.

What is percentage decrease?

The difference between the initial and final numbers is shown as a percentage reduction. It displays a percentage loss of value compared to the original regardless of the units. The decrease is equal to the initial amount less the final amount.

Given,

The depth of lake in January = 943 feet

The depth of lake in August = 754.4 feet

The difference is = (943-754.4) feet

                             = 186.6 feet

So, the percentage decrease of the depth of the lake from January to August will be =  (186.6 ÷ 943) × 100

                        = 20%

Therefore, the answer is 20%.

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Amy, Brenda and Carleen own a cat, a dog and a fish, but not necessarily in that order. Amy hats cats, and Brenda cannot own a pet with hair because of her allergies. What does Carleen own?

Answers

Carleen owns a Dog as her pet.

What is logical thinking?

The logical thinking definition is analysing a situation or problem using reason and coming up with potential solutions.

Given that, Amy, Brenda and Carleen own a cat, a dog and a fish, but not necessarily in that order.

It is saying that Amy hats a cat, which ca be meant she has a pet cat

Therefore, Amy owns a pet cat.

Now, Brenda can not have a hairy pet because she has allergic conditions, so the only pet in the given list with no hair is the fish

Therefore, Brenda owns a pet fish.

Now, only Carleen is left, and a pet dog is left.

Therefore, Carleen owns a pet dog.

Hence, Carleen owns a Dog as her pet.

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5) a real estate agent bought two triangular 'kittitas' having a common side as shown in the figure from two people for rs 20,00,000 altogether. if he immediately sold the land in the shape of à quadrilateral at rs 15,00,000 per kattha, find his profit or loss.(1 kattha= 338.63 sq. m)

Answers

The information given regarding the computation of the profit or loss shows that there's a loss of RS 500,000.

How to calculate the profit?

From the information given, it was stated that the real estate agent bought two triangular Kittas' having a common side as shown in the figure from two people for Rs 2000,000 altogether.

It was further depicted that he sold the land in the shape of a quadrilateral at Rs 1,500,000. In their case, the sale is less than the cost and therefore, there's a loss.

The loss will be:

= 2,000,000 - 1,500,000

= 500,000

Therefore, the information illustrated a loss of RS 500,000.

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Complete question

Mr. Gosain?(1 Aana = 31.8 m²) b) A real estate agent bought two triangular Kittas' having a common side as shown in the figure from two people for Rs 20,00,000 altogether. If he immediately sold the land in the shape of a quadrilateral at Rs 15,00,000 per Kattha, find his profit or loss.(1 Kattha= 338.63 sq. m) danta Excel in Mathematics - Book 9 86 36 m Approved by Curriculum Development Cen 20 m 29 m 25 m 21 m aktapur

Two sisters are painting mugs. The younger sister can paint 2 mugs every half hour. The older sister can paint 6 mugs every hour. How long will it take the two sisters to paint 80 mugs?

Answers

The time it would take the two sisters to paint 80 mugs is 8 hours.

Calculating the time it would take to paint mugs

From the question, we are to determine how long it would take the sisters to paint 80 mugs

From the given information,

"The younger sister can paint 2 mugs every half hour"

That is,

The younger sister can paint 4 mugs every hour

Also

"The older sister can paint 6 mugs every hour?"

Let x represent the number of hours it would take them to paint 80 mugs.

Then, we can write that

4x + 6x = 80

10x = 80

x = 80/10

x = 8

Hence, the time it would take is 8 hours

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If you invest $5400 in a savings account at 5.8%,
how much interest will you earn is 6 years?

Answers

Answer:

116.64

Step-by-step explanatio hope this helps

Determine whether the point is on the graph of the equation 2x + 7y =13 (3,1) yes or no

Answers

Step-by-step explanation:

i think its no, but im not sure.

An initial sample of 171 g of a radioactive substance decays according to the function
A(t) = 171e ^ - 0.04(t) where t is given in years?

a) How many grams of the substance will remain after 59 years? Round your answer to the nearest decimal place.

b) What is the half-life of the substance? Round answer to the one decimal place.

Answers

There will be 0.48 grams will be left in the sample after 59 years.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

Since we have given that initial sample of 171 g of a radioactive substance decays according to the function

[tex]A(t) = 171e ^ {- 0.04(t) }[/tex]where t is given in years

Here, Initial amount of radioactive substance = 171 grams

We need to find the amount of substance that will be left in the sample after 59 years.

So, t = 59 years

So, it becomes,

[tex]A(t) = 171e ^ {- 0.04(59) }\\\\A(t) = 0.48[/tex]

Hence, there will be 0.48 grams will be left in the sample after 59 years.

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Ava's pet pig is older than Izzy's pet pig, which is 2 years old. Ava adopted her pig when it was 1 year old, and she has had it for 2 years. Help plss

Answers

Since Ava adopted her pig when it was 1 and it has been 2 years since that time, you just add 1+2. The pig is 3 years old.

Find the value of the expression
96 (32÷n÷ 2)-s-t^r
for n = 4, r = 3, s = 9, and t = 2.

Answers

Answer:

1,519

Step-by-step explanation:

96 ( 32 ÷ n ÷ 2 ) –s –t^r

since n = 4, r = 3, s = 9, and t = 2. we will just substitute for the values like this

96 ( 32 ÷ (4 ÷ 2) ) –9 ( –2³)

96 ( 32 ÷ 2 ) –9 –8

96 ( 16 ) –17

=1,536 –17

=1,519

i hope i helped

what is the slope of y – 5 = –4x,

3y – 9 = –6x

Answers

Answer:   -4,-2

Step-by-step explanation:

(i)Take y-5=-4x

Make y as subject of formula i.e. y=-4x+5

Now compare it with y=mx+c

Then Slope m=-4

(ii) 3y-9=-6x

Making y as subject of formula i.e. 3y=-6x+9

Divide through by 3

then it will become y=-2x+3

Now comparing it with y=mx+c

then Slope m=-2

If a person travels 440 meters in 11 seconds, what is the average speed of the person?

Answers

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Select the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other.
D
A
E
C
B
In parallelogram ABCD, show triangle ADC is congruent to triangle CBA
O In parallelogram ABCD, show triangle DEA is congruent to triangle CEB
O In quadrilateral ABCD with AB congruent to CD and AD is congruent to BC, show ABCD is a parallelogram
O In parallelogram ABCD, show DE is congruent to BE and AE is congruent to CE

Answers

The conjecture and rephrased statement of proof to demonstrate that the diagonals of a parallelogram cross each other, taking into account the provided figure, is: DE and EB are congruent to one another in the parallelogram EFGH, while AE is congruent to EC.

Define Parallelogram.

A unique variety of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

The parallelogram's diagonals are the lines connecting its two opposed ends. Sharing into two equal portions is known as bisecting. Congruent refers to a copy that has the same dimensions as the original and may therefore be used in place of it. When the diagonals of a parallelogram bisect one another, it signifies that they split into two equal pieces that are congruent with one another.

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Rodrigo pays $165.40 per month on his car loan.
How much does he pay on his loan in 1 year?

Answers

Answer:

$1984.80

Step-by-step explanation:

165.40 times 12 equals 1984.80

Answer:

He pays $1984.80 on his loan in one year.

Step-by-step explanation:

If he pays 165.40 per month, and there are 12 months in one year, then we must multiply the values together.

165.4*12 = 1984.8

He pays $1984.80 on his loan in one year.

How can 1,000 as an exponential expression with 10 as the base

Answers

Answer:

10^3.

Step-by-step explanation:

How can you represent 1,000 as an exponential expression with 10 as the base?

You can represent 1,000 as 10^3. 10 x 10 x 10 = 1000. is read as “10 to the third power” or “10 cubed.”

all numbers are base 10 unless the teacher says to use another base so

there are 3 zeroes so

10^3 is the answer

From Rome, Paul planned to visit _____.

Macedonia
Spain
Corinth

Answers

Answer: Spain

After Rome, St.Paul wanted to go to Spain.

Step-by-step explanation:

Paul planned to visit Macedonia

According to Newton's Law of Cooling, if a body with temperature T₁ is placed in surroundings with temperature To, different
from that of T₁, the body will either cool or warm to temperature T(t) after t minutes, where T(t) = To + (T₁-To)ekt
A metal pan with temperature 120°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the pan
is 80°F. Use Newton's Law of Cooling to find the pan's temperature after 15 minutes.
After 15 minutes the pan will have a temperature of °F.
(Round to the nearest integer.)

Answers

After 15 minutes the pan will have a temperature of 36°F

How to determine the temperature of the pan after 15 minutes?

Newton's Law of Cooling, if a body with temperature T₁ is placed in surroundings with temperature To, different from that of T₁, the body will either cool or warm to temperature T(t) after t minutes, where T(t) = T₀ + (T₁-T₀)e^(kt)

Given: T₁ = 120°F,  T₀ = 0°F. After 5 minutes, T(t) = 80°F

T(t) = T₀ + (T₁-T₀)e^(kt)

80 = 0 + (120-0)e^(5k)

80 = 120e^5k

e^5k = 80/120

e^5k = 2/3

5k = ln(2/3)

k = ln(2/3) / 5

k = -0.0811

The temperature of the pan after 15 minutes will be:

T(t) = T₀ + (T₁-T₀)e^(kt)

T(15) = 0 + (120-0)e^(-0.0811×15)

T(15) = 120e^(-0.0811×15)

T(15) = 36°F

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1/2-(-5/6) answer please

Answers

Answer:

Your answer is [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

(attached)

Answer:

[tex]1 \frac{1}{3}[/tex] or 4/3 or 1.3333...

Step-by-step explanation:

1/2--5/6

When you subtract a negative, it is the same as adding a positive. 1/2+5/6

Create like denominators:

3/6+5/6

Simplify:

8/6

1 1/3 or 1.3333...

PLEASE MARK AS BRAINLIEST

The formula for the perimeter of a rectangle is P = 2l + 2w. Solve the
formula for w in terms of P and l.

Answers

Answer:

P-2l/2=w

Step-by-step explanation:

P = 21 + 2w

Solve for w

Subtract 21 from both sides.

P - 21 = 2w

Divide both sides by 2.

P-21/2 = w

Directions: Write an equation of the line in slope intercept form from the given points (-2, 6) & (0, 4)

Answers

Answer:

y = -x + 4

Step-by-step explanation:

m = y2-y1 / x2-x1

m = 4-6/ 0-(-2)

m = -2/2

m = -1

y = -x + b

4 = -(0) + b

b = 4

y = -x + 4

Could you please give me brainliest for this? Thanks!

Hannah is taking out a 8.1% loan to purchase an $15,000 car. The length of the loan is 8 years. How much will she pay in interest?

Answers

We know simple Interest (SI) = prt/100 where p = principal amount i.e $18,000, r = rate of interest i.e. 4.3% and t = time i.e. 8 years.
So, SI =
18
,
000
×
4.3
×
8
100

6192

Hayden has $35 to spend on school supplies. he wants to buy notebooks, pencils, scissors, and a binder. if the total cost of the pencils and notebooks is greater than $16, which inequality represents the dollar amount, d, that Hayden can spend on the binder?
(1) d < 19
(2) d > 19
(3) d < 51
(4) d > 51

Answers

Answer:

1 or 3

Step-by-step explanation:

A collector's model racecar is scaled so that 1 inch on the model equals 6 1/4 feet on the actual car. If the model is 2/3 inch high, how high is the actual car? explain

Answers

Answer:

50 inches, or 4 1/6 feet

Step-by-step explanation:

If one inch is equal to 6 1/4 feet, we can translate this number from feet to inches.

4 1/6 feet = 75 inches.

Now we can take 75 and find out 2/3 of it.

2/3 of 75 is 50.

The answer is 50 inches.

If you want to convert the answer from feet to inches, its simple.

12 × 4 = 48

50 - 48 = 2

2 inches is equal to 1/6 of a foot.

The answer in feet, is 4 1/6 foot.

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it is appropriate to drive side-by-side with other vehicles in the other lanes. a) true b) false a u.s. grocery chain borrows money to buy a warehouse in ohio and another in italy. borrowing for which warehouse(s) is included in the demand for loanable funds in the u.s.? Which of the following is a consequence of advances in agriculturetechnology?A. Production of food increases, which can help feed the world'shungry.B. Pollution decreases.O C. More water is used per person.D. Production of food decreases because advanced technology isexpensive. Directions: Write an equation of the line in slope intercept form from the given points (-2, 6) & (0, 4) calculate the final concentration of the solution when water is added to prepare each of the following solutions. part a 25.0 ml of a 22.0 m hcl solution is diluted to 440. ml the use of multiple prescription drugs by a single patient, causing the potential for negative effects such as overdosing or drug interaction, is called Which of the fractions below are less than 3/4? Select four. A)3/5 B)5/8 C')5/6 D)1/2 E)7/12 james claims that pragmatism is both a method and theory of truth. how does he explain pragmatism as a theory of his truth TRUE/FALSE the two major ascending tracts in the spinal cord carry somatic sensory stimuli to the third-order neurons in the thalamus of the brain once the hummingbird dna is cloned, we have the problem of finding the piece of dna that holds our gene of interest. explain how nucleic acid hybridization will accomplish this task. the best evidence in support of the idea that hypnosis is actually an altered state of consciousness would be a deficiency of pancreatic exocrine secretion can result in which one of the following? group of answer choices an increased ph in the intestinal lumen an increased absorption of fat-soluble vitamins a decreased formation of bile salt micelles increased levels of blood chylomicrons decreased amounts of fat in the stool on a certain transatlantic crossing, 20 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. if 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets? Which tissue type forms binding supporting and transporting structures and usually contains collagen for strength. an older client who is a resident in a long term care facility has been bedridden for a week. which finding should the nurse identify as a client risk factor for pressure ulcers? consider the following binomial experiment: the probability that a fuse produced by a certain company will be defective is 37100 . if 500 fuses are produced each day, how many can we expect to find each day that are defective ? a) 189 b) 187 c) 185 d) 183 e) 188 f) none of the above. What is .65 as a fraction?Simplified Rami's grandfather paid $67.83 for a length of rope that cost $0.95 per foot. He then cut the rope into pieces that were each 3 feet long. How many 3-foot pieces of rope did Rami's grandfather make? Enter your answer in the box. taking a class to improve your interviewing skills the semester before you begin your job search would fall into which of the quadrants in stephen covey's quadrant ii time management system? 1. Which of the following is a general feature of kinases? (13% answered correctly) A. NONE OF THESE B. The catalyzed reaction must be protected from water C. ALL OF THESE D. Kinases convert aldoses to ketoses E Phosphoryl groups are transferred from AMP to an acceptor