In Triangle DEF, the sum of the measures of Angle D and Angle E is 110. The sum of the measures of Angle E and Angle F is 150. Find the sum of the measures of Angle D and F.​

Answer:

$55.00 divided by 0.20 = 0.0275 = $2.75

$55.00 - $2.75 = $52.25

Given :

After 4 days, a plant is measured to be 10 inches tall.

Later, after a total of 20 days, then height is measured to be 18 inches.

To Find :

The rate of growth for the plant.

Solution :

We know, rate is given by :

[tex]Rat e=\dfrac{\text{Change in height}}{\text{Time taken}}\\\\Rate = \dfrac{18-10}{20-4}\\\\Rate = 0.5 \ inch/day[/tex]

Therefore, rate of increase of height is 0.5 inch/day .

Hence, this is the required solution.

Answer:

The most appropriate quantity to measure for each group is the ; Independent variables ( quantity ) and  dependent variables ( quantity

Step-by-step explanation:

In this kind of experiment the most appropriate quantity to measure for each group is the ; Independent variables ( quantity ) and  dependent variables ( quantity

for plants with fertilizer

Independent variable/ quantity ; quantity of fertilizer applied and other controlled quantity like amount of sun and water

Dependent variable ; Number of tomatoes produced by plant

For plants without fertilizer

Independent variable/quantity ; Absence of fertilizer and other controlled quantity like the amount of sun and water

Dependent variable ; Number of tomatoes produced by plant

Answer:

The answer is C

Step-by-step explanation:

n^3+4n = 4n+5

n^3+4n + 4n+5

n^3+8n+5

Answer:

Slope intercept form: y=mx+b; where m is the slope and B is the y intercept

For 2 lines to be parallel they must have the same slope. Thus, the slope of the new line is going to be 1.

To find the y intercept plug in the slope and the x, y into the equation y=mx+b:

y=mx+b

y=1x+b

2=1(2)+b

2=2+b

0=b

b=0

Now that we have your slope and y intercept we can make the equation:

y=1x+0

y=x

Step-by-step explanation:

Answer:

Step-by-step explanation:

m<3=m<7=63

m<6+m<7=180

m<6=180-63

m<6=117

m<7=63

m<6=117

The measurement for ∠6 and ∠7 will be 63° and 117° respectively.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

As we know the alternate opposite angle of the parallel lines are equal;

∠3 and ∠7 are alternate opposite angles;

So that;

m∠3=m∠7=63°

The sum of the complementary angle is 180°.∠6 and ∠7 are complementary angle

m∠6+m∠7=180

m∠6=180°-63°

m∠6=117

Substitute the value to get ∠7

m∠7=63°

m∠6=117°

Hence the measurement for ∠6 and ∠7 will be 63° and 117°.

To learn more about the angle measurement, refer to the link;

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Answer:

z=kx/y

zy=kx

zy/x=kx/x ( divided both side by x. to find k)

k=zy/x

k=6×4/3(z=6,y=4,x=3)

k=24/3

k=8

so z=kx/y

z=8×5/2(replace the numbers in the place of variables,k=8,x=5,y=2)

z=40/2

z=20

Answer: -37

Step-by-step explanation:

x - y

Substitute -11 for x and 26 for y

-11 - 26 = -37

Answer: -7 1/2

Step-by-step explanation:

The required number would be -3/10.which is the correct answer would be option (B).

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

We have been given that two-thirds of a number is equal to a negative one-fifth.

Let the number would be x

According to the given question, the required solution would be as:

⇒ (2/3)x = -1/5

Divided by (2/3) both sides of the above equation,

⇒ (2/3)x/ (2/3) = (-1/5)/(2/3)

⇒ x = (-1/5)/(2/3)

Reciprocal the term in the numerator,

⇒ x = (-1/5) × (3/2)

Apply the multiplication operation, and we get

⇒ x = -3/10

Therefore, the required number would be -3/10.

Hence, the correct answer would be option (B).

Learn more about the number system here:

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Answer:

Incorrect answers that were corrected:

Line CA is the same as line FD

angle B = angle E

angle C = angle F

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

because i said so

Answer:

answer is 26 gems

Step-by-step explanation:

you subtract 8 from 34 and you get 26 as your answer

Answer:

( Can you show me the table? I don't see a table..)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the distance be d

Average speed

Answer:

The first one height vs shoe size.

Step-by-step explanation:

Let's evaluate each choice

1) Generally, it is possible that the taller a person is, that his/her shoe size would generally get bigger also. Hence we can say that it is possible that there is a function correlation between height and shoe size.

2) hair length can be cut down short or left long regardless of the height of a person, so we cannot say for sure that hair length correlates with height. Hence this is probably not a function)

3) hair color has no bearing on a persons age. hence this is probably not a function.

4) student ID number doesn't depend on the name of the student. Hence this is probably not a function.

Answer:

-9

Step-by-step explanation:

-3(2) + (-3)

-6 + (-3)

-9

Answer:

f(-3) = 6

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

f(x) = x² + x

f(-3) is x = -3

Step 2: Evaluate

And we have our final answer!

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[tex]9(x + 1) = 27[/tex]

Divide sides by 9

[tex] \frac{9(x + 1)}{9} = \frac{27}{9} \\ [/tex]

[tex]x + 1 = 3[/tex]

Subtract sides 1

[tex]x + 1 - 1 = 3 - 1[/tex]

[tex]x = 2[/tex]

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Answer:

Step-by-step explanation:

P

Answer:

Answer is P

Hope this helps :)

Step-by-step explanation:

Answer:

Part 1):

Part 2):

Part 3):

Part 4):

Step-by-step explanation:

Considering the function

[tex]f(x) = 5x + 4[/tex]

[tex]g(x) = x - 3[/tex]

Part 1)

To evaluate [tex]f(g(6))[/tex], you must find [tex]g(6)[/tex]

so

[tex]g(x) = x - 3[/tex]

Put x = 6

[tex]g(6) = 6 - 3[/tex]

[tex]g(6) = 3[/tex]

Then  

[tex]f(g(6))=f(3)[/tex]

[tex]=5(3)+4[/tex]

[tex]=19[/tex]

Therefore, [tex]f(g(6))=19[/tex]

Part 2)

To evaluate [tex]g(f(-7))[/tex], you must find [tex]f(-7)[/tex]

so

[tex]f(x) = 5x + 4[/tex]

Put x = -7

[tex]f(-7) = 5(-7) + 4[/tex]

[tex]=-35+4[/tex]

[tex]=-31[/tex]

Then  

[tex]g(f(-7))=g(-31)[/tex]

[tex]= (-31) - 3[/tex]

[tex]=-34[/tex]

Therefore, [tex]g(f(-7))=-34[/tex]

Part 3)

To evaluate [tex]f(f(8))[/tex], you must find [tex]f(8)[/tex]

[tex]f(x) = 5x + 4[/tex]

Put x = 8

[tex]f(8)=5(8)+4=40+4=44[/tex]

Then

[tex]f(f(8))=f(44)=5(44)+4=220+4=224[/tex]

Therefore,

[tex]f(f(8))=224[/tex]

Part 4)

Evaluate

[tex]g(f(x))[/tex]

As

[tex]f(x) = 5x + 4[/tex]

[tex]g(x) = x - 3[/tex]

so

[tex]g(f(x))=g(5x+4)[/tex]

            [tex]=(5x+4)-3[/tex]

            [tex]=5x+4-3[/tex]

            [tex]=5x+1[/tex]

Therefore,

[tex]g(f(x))=5x+1[/tex]

Answer:

i think its 30.36

Step-by-step explanation:

Answer:

Step-by-step explanation:

112 × 0.34 = 38.08

Answer:

2 batches

Step-by-step explanation:

I will give no explanation

Answer:

Step-by-step explanation:

Draw a tape diagram then just dived them and you get 2 batches

Answer:

D

Step-by-step explanation:

We have:

[tex](x+1)^2[/tex]

Expand:

[tex]=(x+1)(x+1)[/tex]

Distribute Property:

[tex]=(x+1)x+(x+1)(1)[/tex]

Distribute:

[tex]=x^2+x+x+1[/tex]

Add:

[tex]=x^2+2x+1[/tex]

Hence, our answer is D.

Answer:

d.  x^2 + 2x + 1

Step-by-step explanation:

(x+1)(x+1)

use the FOIL method:

x^2  +1x  +1x  +2

combine like terms 1x and 1x

x^2 +2x +1

Answer:

you needed to mark this question for the science section

Step-by-step explanation:

Answer:

25 inches

Step-by-step explanation: