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Mekhanik [1.2K]
3 years ago
5

In the diagram, ray GH bisects <FGI.

Mathematics
2 answers:
Ymorist [56]3 years ago
6 0

Part a.

An angle bisector divides the angle into two congruent angles.

m<FGH = m<HGI

2x - 4 = 3x - 22

Subtract 2x from both sides. Add 22 to both sides.

18 = x

x = 18

Now that we know x = 18,

m<FGH = 2x - 4 = 2(18) - 4 = 36 - 4 = 32

m<FGH = 32

Part b.

m<HGI = 3x - 22 = 3(18) - 22 = 54 - 22 = 32

m<HGI = 32

Part c.

m<FGI = m<FGH + m<HGI = 32 + 32 = 64

m<FGI = 64


-Dominant- [34]3 years ago
3 0

Answer:

the answer for part b is 30

Step-by-step explanation:

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A department store sold 51 51 shirts one day. All short-sleeved shirts cost $14.00 $ 14.00 each and all long-sleeved shirts cost
Dmitrij [34]

Answer:

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

Step-by-step explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of short-sleeved shirts sold.

y is the number of long-sleeved shirts sold.

A department store sold 51 shirts one day.

This means that x + y = 51

All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.

This means that

14x + 23y = 921

How many of each kind of shirt were sold?

We have to solve the system of equations.

x + y = 51

x = 51 - y

--------------

14x + 23y = 921

14(51 - y) + 23y = 921

714 - 14y + 23y = 921

9y = 207

y = \frac{207}{9}

y = 23

--------

x = 51 - y = 51 - 23 = 28

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

7 0
3 years ago
PLS ANSWER IT I just need the answer
aalyn [17]

The y-intercept is (0,2)

  • you can find the y-intercept by finding the value of y when x = 0

The slope is -5/2.

  • you can find the slope by using the equation below and any two points on the line, such as (0,2) and (2,-3)

           \frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0}  =\frac{-5}{2}

               

Hope that helps!

8 0
2 years ago
3/30 = n/50<br><br> n = (Blank)<br><br> Find n.
lutik1710 [3]
The answer will be n=5

5 0
4 years ago
Match each statement to the reasons for the geometric proof. Part 3​
jarptica [38.1K]

9514 1404 393

Answer:

  4 1 5 3 6 2

Step-by-step explanation:

The general approach to this proof is to show the triangles created by the diagonal are congruent. Then, parts of those triangles (opposite sides) are congruent. The congruence of the triangles is shown by making use of the fact that alternate interior angles are congruent, and the diagonal is congruent to itself. Thus, you have two angles and the side between shown as congruent, and can invoke the ASA postulate.

The steps of the proof (1 to 6) are already in order. The task is to find the geometric relation the step is describing from the list on the left.

__

Statements A to F on the left match with numbered statements 1 to 6 on the right as follows:

A - 4 (reflexive prop)

B - 1 (given)

C - 5 (ASA)

D - 3 (alt int angle)

E - 6 (the end point of the proof)

F - 2 (definition)

8 0
3 years ago
Your bill at a restaurant is $28.50. You leave a 16% tip. What is your final bill?
Alenkasestr [34]

Answer:

$ 33.06

Step-by-step explanation:

I Hope this helps :))))

5 0
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