1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tankabanditka [31]
3 years ago
12

GH bisects FGI. Find the measure of HGI •15° •21° •10° •8°

Mathematics
2 answers:
hjlf3 years ago
4 0

Answer:

Option B is correct.

the measure of angle HGI is 21°

Step-by-step explanation:

By Angle bisector definition:

A line that bisects the angle into equal angle

From the given figure, we have;

\angle FGH = (2x+1)^{\circ} and  \angle HGI = (3x-9)^{\circ}

it is given that: GH bisects ∠FGI.

then by definition:

\angle FGH = \angle HGI

Substitute the given values we have;

2x+1 = 3x -9

Add 9 to both sides we get;

2x+10= 3x

Subtract 2x from both sides we get;

10= x

or

x= 10

then;

\angle HGI = 3x-9 = 3(10)-9 = 30-9 = 21^{\circ}

Therefore, the measure of angle HGI is 21°

tester [92]3 years ago
3 0

Answer:

m<HGI=21°

Step-by-step explanation:

we know that

If GH bisects m<FGI then

m<FGH=m<HGI

substitute the values

(2x+1)°=(3x-9)°

solve for x

3x-2x=1+9

x=10°

The measure of angle HGI is equal to

(3x-9)° ------> substitute the value of x

3*10-9=21°

m<HGI=21°

You might be interested in
How to write y-2=-1/3 (x+6) in standard form and why PLZ HELP
stich3 [128]

y-2=-\frac{1}{3}(x+6)\\y=-\frac{1}{3}(x+6)+2

Simply move -2 to another side.

y=-\frac{x}{3}-2+2

Distribute -1/3 in (x+6)

y=-\frac{x}{3}        ---> Answer

8 0
3 years ago
Read 2 more answers
Light travels at 3.0×10^8 kilometers how far does light travel in five minutes
34kurt
Just have a very grate day
8 0
2 years ago
At the start of the month, the value of an investment was $73.42. By the end of the month, the value of the investment changed b
Aleonysh [2.5K]

Answer:

0.8%.

Step-by-step explanation:

Given:

At the start of the month, the value of an investment was $73.42.

By the end of the month, the value of the investment changed by a loss of $13.53.

Question asked:

What was the value, in dollars, of the investment at the end of the month?

What was the percent loss?

Solution:

At the start of the month, the value of an investment = $73.42.

Loss = $13.53.

<u><em>The value, of the investment at the end of the month = The value of an investment at the start of the month - loss</em></u>

The value, of the investment at the end of the month = $73.42 - $13.53

                                                                                         = $59.89

Thus, the value, of the investment at the end of the month is $59.89.

Now, we will find percent loss:-

Percent\ loss = \frac{Loss}{value\ of \ investment\ at \ start}

                    =\frac{59.89}{73.42} \\=0.81\%

Thus, percent loss on investment by the end of the month is 0.8%.

7 0
3 years ago
Alan sells beaded necklaces. Each large necklace sells for $5.70 and each small necklace sells for $5.10. How much will he earn
inysia [295]
Alan will make $28.50 from 5 large necklaces and $15.30 from 3 small necklaces. $43.80 in total :)
6 0
3 years ago
Read 2 more answers
A factory makes TV's and video machines. Checking for faults regularly, on average, 5 out of every 300 TV's are faulty and 8 out
Bas_tet [7]
A. 1 out of 60 for the tv, 1 out of 25 for the video. This comes to 2/85 that one is faulty. B. 286, since 285 has exactly a .95 chance
6 0
3 years ago
Other questions:
  • What is the solution of 2p-14=4(p+5)
    14·1 answer
  • Which of the following points is a solution of y &gt; |x| + 5? <br><br> 0,5<br> 1,7<br> 7,1
    9·1 answer
  • While traveling to his grandma for his George fell asleep a fifth of the way through the journey when he awoke he still had to t
    5·1 answer
  • HELP ME WITH THIS IM DESPERATE!​
    7·2 answers
  • Your bill at pizza hut is $30. You leave a 20% tip. What is the amount of tip
    10·2 answers
  • What’s the answer to this
    8·1 answer
  • Are x and y proportional?
    5·2 answers
  • Will wanted to solve the problem
    12·1 answer
  • X squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?
    14·1 answer
  • A company will need 1.8 million 5 years from now to replace some equipment. Currently, the firm has some extra cash and would li
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!