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
PolarNik [594]
3 years ago
12

Use the information given in the diagram to prove that m∠JGI = One-half(b – a), where a and b represent the degree measures of a

rcs FH and JI. A circle is shown. Secants G J and G I intersect at point G outside of the circle. Secant G J intersects the circle at point F. Secant G I intersects the circle at point H. The measure of arc F H is a. The measure of arc J I is b. A dotted line is drawn from point J to point H. Angles JHI and GJH are inscribed angles. We have that m∠JHI = One-half b and m∠GJH = One-halfa by the . Angle JHI is an exterior angle of triangle . Because the measure of an exterior angle is equal to the sum of the measures of the remote interior angles, m∠JHI = m∠JGI + m∠GJH. By the , One-halfb = m∠JGI + One-halfa. Using the subtraction property, m∠JGI = One-halfb – One-halfa. Therefore, m∠JGI = One-half(b – a) by the distributive property.
Mathematics
2 answers:
PIT_PIT [208]3 years ago
8 0

Answer:

Step-by-step explanation:

Angles JHI and GJH are inscribed angles. We have that m∠JHI = One-half b and m∠GJH = One-halfa by the <u>Inscribed angle theorem</u> . Angle JHI is an exterior angle of triangle <u>GJH </u>. Because the measure of an exterior angle is equal to the sum of the measures of the remote interior angles, m∠JHI = m∠JGI + m∠GJH. By the <u>Substitution property</u> , One-halfb = m∠JGI + One-halfa. Using the subtraction property, m∠JGI =  One-halfb – One-halfa.  Therefore, m∠JGI = One-half(b – a) by the distributive property.

natka813 [3]3 years ago
7 0

Answer:

inscribed angle theorem, gjh, substitution property

You might be interested in
Please help me with this question ​
Tema [17]
............................

8 0
3 years ago
I got 12 will someone double check me please? No links I can’t open them
Vedmedyk [2.9K]

Answer:

the first 6⅔

Step-by-step explanation:

in the image

4 0
3 years ago
Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.
GarryVolchara [31]

We have been given that Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.9% sales tax, and the city charges a 2.2% sales tax.

We are asked to find the total tax, if Mr Luis sells his home for $122,500.

To find total tax, we will add all tax rates as they are being applied to same base.

\text{Total of tax rates}=3.5\%+3.9\%+2.2\%

\text{Total of tax rates}=9.6\%

Now we will find 9.6% of $122,500 to find total tax bill.

\text{Total tax bill}=\$122,500\times \frac{9.6}{100}

\text{Total tax bill}=\$1225\times 9.6

\text{Total tax bill}=\$11,760

Therefore, the total tax bill of Mr. Luis would be \$11,760.

5 0
3 years ago
What does the perpendicular bisector of a line mean?
ankoles [38]
This bisector created a 90 degree angle
7 0
3 years ago
Read 2 more answers
What is the domain of this function
Talja [164]

Answer:

I think its A

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Tanya tiene un jardin con un foso alrededor. El jaidim el un rectangulo de 2 1/2m de largo y 2m de ancho. El jardin y el foso ju
    15·1 answer
  • 90+8=x+k<br> x=72<br> k=?<br> help please
    10·2 answers
  • Solve for x. x^2 + 4x + 45 = 0
    10·2 answers
  • The winner of the cross-country meet ran 6 miles in 2 hour. What is the average speed per minute?
    9·2 answers
  • Joanna has a total of 7 rolls of coins worth $23. She has rolls of dimes worth $5 each, and
    12·1 answer
  • A rare coins value can be modeled with the equation W(x)=250(1.085)^x where x represents the number of years since the coin was
    9·1 answer
  • The Bank of America building in San Francisco is 74 feet shorter than the Transamerica Pyramid. Of their combined height is 1632
    8·1 answer
  • A number n is e<br> qual to the sum of a number p and its squared
    15·2 answers
  • Write an equation to represent the
    15·2 answers
  • Consider the sequence whose first five terms are shown below.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!