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
laiz [17]
3 years ago
12

Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of

your proof or related to it.

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

See Explanation

Step-by-step explanation:

m\angle ADB = m\angle CDB... (given) \\\\\therefore m\angle ADM = m\angle CDM... (1)\\(\because D-M-B) \\\\In\: \triangle 's ADM \: \&\: CDM\\\\\overline{AD} \cong\overline {CD} ... (given) \\\\m\angle ADM = m\angle CDM.(From \:1)\\\\\overline{DM} \cong\overline{DM} ... (given) \\\\\therefore \triangle ADM \: \cong\: \triangle CDM\\.. (By \: SAS\: postulate) \\\\\therefore \overline{AM} \cong\overline{CM}..(2)\\(by\: c. s. c. t.) \\\\m\angle AMD = m\angle CMD..(3)\\(by\: c. a. c. t.)\\\\\because m\angle AMD + m\angle CMD= 180\degree ..(4)\\(Linear\: pair\: \angle 's)\\\\\therefore m\angle AMD + m\angle AMD= 180\degree \\..(From \: 3 \: \& \: 4)\\\\\therefore 2m\angle AMD = 180\degree\\\\\therefore m\angle AMD = \frac{180\degree}{2}\\\\\therefore m\angle AMD =90\degree \\\\\red{\implies \overline{MD} \perp\overline{AM}} \\\\\implies m\angle AMB=m\angle CMB= m\angle CMD = 90\degree.. (5)\\\\In\: \triangle 's ABM \: \&\: CBM\\\\\overline{AM} \cong\overline{CM}\\.(From \: 2)\\\\m\angle AMB=m\angle CMB\\..(each\: 90\degree) \\\\\overline{BM} \cong\overline{BM} ... (common) \\\\\therefore \triangle ABM \: \cong\: \triangle CBM\\.. (By \: SAS\: postulate) \\\\\therefore m\angle BAM = m\angle BCM\\(by\: cact) \\\\\purple {\implies m\angle BAC = m\angle BCA} \\(\because A-M-C)

You might be interested in
One of Madison's hobbies is to locate hidden geocaches. To find yesterday's cache, Madison was instructed to start at a water fo
Katarina [22]

Answer:

A

Step-by-step explanation:

Because 15 plus 7 equals 23.

8 0
3 years ago
Using Substitution 4x-3y=-10 and x=1/4y-1
Alinara [238K]

Answer:

Then the solution is (-1/4, 3)

Step-by-step explanation:

Start by eliminating the fractional coefficient 1/4:  multiply all 3 terms in the second equation by 4.  This results in equation (b), below:

4x - 3y = -10   (a)

4x = y -4         (b)  

Substitute y - 4 for 4x in equation (a):

y - 4 - 3y = -10

Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.

Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4

Then the solution is (-1/4, 3)

7 0
3 years ago
What is the volume of this rectangular prism?
taurus [48]

Answer:

96 cubic centimeters

Step-by-step explanation:

v=lwh

v=2(8)6= 96

8 0
3 years ago
Read 2 more answers
What is the answer to 2 + (c + 0) = ?
ipn [44]
C=-2 because you would transfer to the other side making it negative. It can't be a negative so you divide -1 to 2. Making it -2.
6 0
3 years ago
42 more than half a number is the same as four times the number. What is the number?
Dmitry_Shevchenko [17]



1/2x + 42 = 4x
-1/2x           -1/2x
------------------------
42 = 3.5x
/3.5   /3.5
------------------------
12 = x
the number is 12


explanation: 42 more than 1/2 of a number can be written as 1/2x + 42
four times a number can be written as 4x.
42 more than 1/2 of a number is equal to 4 times a number. So 1/2x + 42 = 4x.

Hope this helps :)
8 0
4 years ago
Other questions:
  • BRAINLIEST HELP ME PLEASEEEEEE IM IN DANGER OF STAYING BACK:(((
    14·1 answer
  • Find the quotient of the complex numbers. Express your answer in trigonometric form.
    6·2 answers
  • harpers house is 30 feet wide and 45 feet long on a scale drawing the house is 4 inches wide and 6 inches long and harpers bedro
    5·2 answers
  • Does anyone know what 2/3 x= 8. So the question is what does x equal too
    10·2 answers
  • 240: 1,680 that ratio, simplified?
    11·2 answers
  • 401(k) accounts are those that are partially funded by employers using a portion of wages before tax: true or false?
    11·1 answer
  • Let x be a positive number such that the distance between x and -3.8 on a number line is exactly 2 times the distance between x
    7·1 answer
  • Find the value of X and Y
    13·1 answer
  • Does anyone else dislike teacher appreciation week?
    7·2 answers
  • Please answer these ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!