Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
(Please show your work)

Answer:

[tex]3x - 9 = 2x + 21 \\ 3x - 2x - 9 = 2x - 2x + 21 \\ x - 9 = 21 \\ x - 9 + 9 = 21 + 9 \\ x = 30[/tex]

m<DGI = 80°

[tex]3x - 9 = \\ 3(30) - 9 = \\ 90 - 9 = 81[/tex]

The measure of angle ∠DGI can be obtained by finding the solution of the equation as 81°.

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The ray GI bisects ∠DGH.

It implies that the new angles are equal in measurement.

⇒ m∠DGI = m∠IGH

⇒ 3x - 9 = 2x + 21

⇒ x = 30

Then, in order to calculate m∠DGI, plug x = 30 in  3x - 9 as,

3 × 30 - 9 = 81

Hence, the measure of angle ∠DGI is given as 81°.

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Answer:

y = T(x) = 8 + (9/shirt)x

Step-by-step explanation:

Represent "total amount" by T(x).  Then:

y = T(x) = 8 + (9/shirt)x

Here the shipping cost ($8) is a fixed cost and the cost of the x shirts is ($9/shirt)(x), where x is the number of shirts bought.

Note that this is a linear equation, and that 8 represents the vertical intercept and (9/shirt) the slope of the line representing the total cost.

The equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y is y = 9x + 8.

The total amount Manuel will pay consists of the cost of the T-shirts and the shipping cost.

The cost of the T-shirts is $9 each, and the shipping cost is a flat $8.

The equation that shows the relationship between the number of T-shirts Manuel buys (x) and the total amount he will pay (y) can be written as y = 9x + 8.

Hence, y = 9x + 8 is the equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y.

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Answer:

2*(n-1) represent the product of 2 and the difference of number and 1.

mark me brainlist plz.

Answer:

where is the question?!

Answer:

a. <1 and <3

Step-by-step explanation:

Using the principle of probability, probability of selecting 2 students without replacement and being 11th graders is 0.230

The distribution of students :

Recall :

Since, selection is done without replacement :

P(both are 11th graders) = (18/37) + (17/36) = 0.230

Therefore, the probability that the two selected students are 11th graders is 0.230

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Answer:

1 and 2/3 hours or 5/3 hours

Step-by-step explanation

1/3 of an hour would be 1/5 of the room so you would just make it 5/3 hours  and it'd be the whole room

Answer:

There is a strong positive correlation

Step-by-step explanation:

The graph shows as more students study the higher the test score is.

Yeah... they should.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The calculations are easily done in a spreadsheet, starting with √A. The value of B is (√A +1)². The formatting of the root as a mixed number is done by converting the numerical values to text strings and joining them together with appropriate intervening characters.

Answering these in this way tends to reduce arithmetic and copying errors. (You may notice that B-A is always 1+2√A.)

Answer:

921

Step-by-step explanation:

If he recives 3x amount than his oppenent

than we would divided by 3 from his score to find oppponets score

so....

2763 divided by 3=921

Answer:

-13/5

Step-by-step explanation:

Answer:

8,600

Step-by-step explanation:

43 tens is basically 43 x 10

2 tens is 2 x 10

multiply that to get 8600

Hope it helps! :D

Answer:

C.

Step-by-step explanation:

WE need to convert the given equations  into the standard form

(x - a)^2 + (y - b)^2 = r^2 where r = the radius.

x^2 + y^2 + 12x - 20y+ 132 = 0

(x + 6)^2 - 36 + (y - 10)^2 - 100 = -132

(x + 6)^2 + (y - 10)^2 = -132 + 36 + 100 = 4

giving a radius of 2

x^2 + y^2 + 12x - 20y + 55 = 0

will give a right hand side of -55 + 36 + 100 = 81  giving radius 9.

x^2 + y^2 - 12x+ 20y + 127 = 0

- gives right hand side of -127 + 36 + 100 = 9 giving a radius of 3.

Answer:

The answer is C I hope this helps

Answer:

439

Step-by-step explanation:

1700/4=425

15-1=14

425+14=439

Answer:

4500 cm²

Step-by-step explanation:

10 mm = 1 cm

So 450 × 10

= 4500 cm²

Answer:

It’s -4

Step-by-step explanation:

Your equation is y=-4x -3

Answer: 83 meters

Step-by-step explanation:

The perimeter of a rectangle is 2l + 2w, where l is the length and w is the width.

2(96) + 2w = 358

192 + 2w = 358

2w = 166

w = 83

Hope it helps :) and let me know if you want me to elaborate.

Step-by-step explanation:

2-5(68-60)=2-5×8=2-40=38

Answer:

what is this question asking for

Answer:

d. 4x+12

Step-by-step explanation:

distribute the 4

4*x =4x

4*3=12

therefore its

4x+12

Answer:

D

Step-by-step explanation:

4(x+3)

(4 times x) + (4 times 3)

4x + 12 = D

Step-by-step explanation:

You can take the numerator as one factor and 1/denominator as another.

Just an example:

Let a = 1, then the following product will give what we have

Answer:

[tex]1\frac{11}{24}[/tex] cups more water than sugar

Step-by-step explanation:

Question: Jalil mixed 3/8 cup of sugar with 11/6 cups of water. How many more cups of water than sugar did he use in his mixture.

Answer:

Jalil mixed the number of cups of sugar =  [tex]\frac{3}{8}[/tex]

with the number of cups of water =  [tex]\frac{11}{6}[/tex]

We have to find the additional amount of water that is used in his mixture.

So we will subtract the amount of sugar from the amount of water.

[tex]\frac{11}{6}[/tex]- [tex]\frac{3}{8}[/tex]

= [tex]\frac{44-9}{24}[/tex]

= [tex]\frac{35}{24}[/tex]

=  [tex]1\frac{11}{24}[/tex] cups

[tex]1\frac{11}{24}[/tex] cups more water is used in this mixture.

Answer:

4/21

Step-by-step explanation:

Hope this helps

Answer:

-7

Step-by-step explanation:

replace x by 3

-5^3+8

-15+8

=-7

Answer:

21,678 rounded to the nearest ten is 21,680