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
Alik [6]
3 years ago
5

Triangle ABC is an isosceles right triangle inscribed in a circle. The center of the circle is point D and the diameter of the c

ircle is AC.
Which of the following would not be true for the triangle and circle described above?

See Attached for choices

Mathematics
1 answer:
Paha777 [63]3 years ago
3 0

Answer:

* AD is congruent to DC and BD <em>true</em>

* m∠B = 90° <em>true</em>

<u>* The measure of arc AC is equal to the measure of arc AB </u><u><em>not be true</em></u><em> ( The right answer  )</em>

* The measure of arc AB is equal to measure of arc BC <em>true</em>

Step-by-step explanation:

∵ D is the center of the circle and A , B and C are points on the circle

∴ AD , DB and DC are radii on the circle D

∴ AD ≡ DC ≡ DB

∵ AC passing through point D which is the center of the circle

∴ AC is the diameter of the circle D

∵ ∠B is opposite to the diameter of the circle and vertex B lies on the circle

∵ ∠B is an inscribed angle and  ∠ADC  is a central angle subtended by the same arc AC

∴m∠B = half m∠ADC

∵ m∠ADC = 180°

∴ m∠B = 90°

∵ The measure of arc AC = 180°

∵ ΔABC is isosceles and m∠B = 90°

∴ m∠BAC = m∠BCA = (180° - 90°) ÷ 2 = 45°

∵ ∠ACB is an inscribed angle subtended by arc AB

∴ m∠ACB = half measure of arc AB

∵ The measure of arc AB = 45° × 2 = 90°

∴ The measure of arc AC ≠ the measure of arc AB

∵ Δ ABC is an isosceles triangle and m∠B = 90°

∴ AB = BC

∵ AB subtended by arc AB

∵ BC subtended by arc BC

∴ The length of arc AB = the length of arc BC

∵ If two arcs are equal in length, then they will be equal in measure

∴ The measure of arc AB is equal to the measure of arc BC

You might be interested in
!PLEASE ANSWER ASAP! VERY IMPORTANT! THANK YOU!!
kramer

Answer:

Nacho Average Minos

Step-by-step explanation:

z=11.25-10/1.5 = 1.25/1.5 = 0.834

z=11.25-12/1 = -0.75/1 = -0.75

3 0
3 years ago
Model the number 5.55 on the place value chart
Nady [450]

Answer:

Here's what I get  

Step-by-step explanation:

Each digit in a  number has a place value, based on its distance from the decimal point.

The value of a digit  is the digit multiplied by its place value.

The place value of a digit increases by a factor of 10 as we move left on the place value chart and decreases by a factor of 10 as we move right.  

Numbers to the left of the decimal point increase in the order: ones, tens, hundreds, thousands, etc.

Numbers to the right of the decimal point decrease in the order: tenths, hundredths, thousandths, etc.

So, we put the digits of 5.55 on the chart according to their place value.

6 0
3 years ago
Charle has 10 guests over at his house. If he gives each guest bacon, he will have given
svlad2 [7]

Answer:

Each guest got 3. (if he doesn't have any for himself).

Step-by-step explanation:

if each guest is x

30=10x

divide by 10

x=3

hope this helps and if you want please consider giving me brainliest! :)

4 0
3 years ago
this is for math and business somebody please help me with it i will give brainiest and plz dont send links
liubo4ka [24]

Answer: this is for math and business somebody please help me with it i will give brainiest and plz dont send links

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
B is the midpoint of AC; AB = 8v, and BC= 2v + 42. What is BC?
Kaylis [27]

Answer:

58

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What are the factors of the expression (y-2)(x+3)
    12·2 answers
  • A marketing representative wants to estimate the proportion of people in a state who like the new design on the packaging of a c
    7·1 answer
  • Given a triangle has side lengths of 4 inches and 6 inches, which of the following could be a length of the third side? (Check a
    8·1 answer
  • An adidas hat that has a regular price of $15.50 and is discounted 25%
    14·2 answers
  • What is the correct meaning of the word gripe?<br> I’m dumb
    5·2 answers
  • What number 24 thx a lot!
    14·2 answers
  • Solve for ,×. Then, circle whether each angle pair is complementary or supplementary.​
    10·1 answer
  • 15 POINTS!!!! HELPP PLEASEE QUICK I NEED IT NOWW PLSS I POSTED THIS SO MANY TIMES PLSSS NO LINKS NO BOT OR ANSWERS JUST TO GET P
    9·1 answer
  • Mark and Trisha are traveling in the same direction and Mark is going 16 miles per hour. Trisha is going 12 miles per hour but s
    7·1 answer
  • I need help on my question hurry plsss
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!