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
Alexus [3.1K]
3 years ago
14

Please answer this question with reason please​

Mathematics
1 answer:
sattari [20]3 years ago
6 0

Answer:

55°

Step-by-step explanation:

In circle with center O, OA and OB are radii and PA and PB are tangents drawn from external point P.

Since, tangent is perpendicular to the radius of the circle.

\therefore m\angle PAO = m\angle PBO = 90°\\m\angle APB = 70°....(GIVEN) \\

In quadrilateral PAOB,

m\angle PAO + m\angle PBO+ m\angle APB \\+m\angle AOB = 360°\\\therefore 90° + 90° + 70° +m\angle AOB = 360°\\\therefore 250° +m\angle AOB = 360°\\\therefore m\angle AOB = 360°- 250°\\\huge \purple {\boxed {\therefore m\angle AOB = 110°}} \\

Since, angle subtended at the circumference of the circle is half of the angle subtended at the centre of the circle.

\therefore m\angle ACB = \frac {1}{2} \times m\angle AOB\\\\\therefore m\angle ACB = \frac {1}{2} \times 110°\\\\\huge \orange {\boxed {\therefore m\angle ACB = 55°}}

You might be interested in
True or False?
almond37 [142]
#1

That is false..one could have side lengths of 9 and 1, and the other could have side lengths of 3. Both the areas would be 9, but the figures would not be congruent.

#2

That is true, they must both have the same side length to have the same perimeter, therefore they will also have the same area.
8 0
3 years ago
^^^^^^^^^^^^^^^^^^^^
telo118 [61]

ANSWER

The correct answer is C

EXPLANATION

We want to find the quotient:

-  \frac{10}{19}  \div ( -  \frac{5}{7} )

We multiply by the reciprocal of the second fraction:

-  \frac{10}{19}   \times  ( -  \frac{7}{5} )

We cancel out the common factors to obtain:

-  \frac{2}{19}   \times  ( -  \frac{7}{1} )

We multiply to get

\frac{ - 2 \times  - 7}{19 \times 1}

This simplifies to :

\frac{14}{19}

The correct answer is C

7 0
3 years ago
Read 2 more answers
Nine out of ten students prefer math class over lunch. How many students do not prefer math if 200 students were asked?
fredd [130]
So, 9 out of 10 students prefer class, so, obviously, it would not be 100. It would be 150. So in conclusion, 50 students prefer lunch over math class, whilst 150 other students prefer math class over lunch.
3 0
3 years ago
Need help with this Question
vazorg [7]

Answer:

Step-by-step explanation:

W∩ X is asking for the intersection of sets W and X, or simply, which numbers can be found in both sets.

The numbers shared between the two sets are 3, 4, 5.

Next, we need to union this result with the set Y, or simply, combine the numbers in both sets together.

This would result in 2, 3, 4, 5

5 0
3 years ago
Which of the following is E ∪ F?
vesna_86 [32]
For E the answer is 2. Because the square of 1 is one and 9 is three. And 2 to the square root of two which would be 2 time 2= 4

5 0
3 years ago
Other questions:
  • Which expression represents 10 in rational exponent form?
    6·1 answer
  • Betty had 3/4 cups of sugar, but the recipe for a cake she was making called for 3 1/3 times this amount. How many cups of sugar
    7·2 answers
  • According to some students, what is the true purpose of homework?
    5·1 answer
  • In 1 week there are 7 days how many weeks in 210 days
    11·2 answers
  • Help im not sure if i am doign this right or not
    11·1 answer
  • Stacey has earned $9 interest over the past 20 months with an initial investment of $150. What is the simple interest rate she i
    10·1 answer
  • The graph shows the cost for each topping on a pizza and how much it cost.
    14·2 answers
  • Find m∠EDC.....................
    14·1 answer
  • Consider the following system of equations.
    15·2 answers
  • Find the tenth term in each sequence.<br> -14, -6, -2, 0, 1, ...
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!