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
professor190 [17]
3 years ago
7

Given: ΔABC, m∠C = 90º, m∠B = 30º CM - angle bisector Find: m∠AMC

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

Answer:

75°

Step-by-step explanation:

1. Consider right triangle ABC. In this triangle

m∠C = 90º and CM - angle bisector.

If CM is angle C bisector, then

m∠ACM = m∠MCB = 45º

2. Consider triangle CMB. The sum of the measures of all interior angles of the triangle is always 180°, then

m∠MCB + m∠CBM + m∠BMC = 180°,

m∠BMC = 180° - 45° - 30°

m∠BMC = 105°

3. Angles AMC and BMC are supplementary angles, so

m∠AMC + m∠BMC = 180°

m∠AMC = 180° - 105°

m∠AMC = 75°

You might be interested in
The blue dot is at what value on the number line?<br> PLEASE HELP FAST
Elodia [21]

Answer:

-22

Step-by-step explanation:

The blue dot on the number line is 4 units below -10. The number -16 is also labeled, but it is instead just 2 units below -10. If -16 is 2 units below -10, then 2 units is equal to a distance of 6, which means 1 unit is equal to a distance of 3. Because the blue dot is 4 units below -10, the blue dot is 12 less than -10, meaning that the blue dot is at -22.

5 0
2 years ago
What is the measure of the largest angle of a triangle whose measures are in the ratio 2:3:4
malfutka [58]
2x+3x+4x=180
9x=180
x=20
6 0
3 years ago
What is a pair of fractions as a pair of fractions with a common denominator of 1/3 and 3/4
scoundrel [369]
4/12 for 1/3 and 9/12 for 3/4
4 0
3 years ago
Read 2 more answers
How did convenience store there is a 25% chance as customer enters the store within one minute of closing time describe the comp
valentinak56 [21]
The complementary is not entering the store one minute before closing.

The probability of not entering the store one minute before closing is 75%

7 0
3 years ago
Read 2 more answers
14/15 divided by 7/5
Charra [1.4K]

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

There are a couple of different ways that division of fractions can be done.

1) "invert and multiply"

  \dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}

__

2) use the numerators when the denominators are the same

  \dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}

6 0
3 years ago
Other questions:
  • 75% of a number is 120. What is 40% of the number? A. 36 B. 64 C. 138 D. 225
    12·2 answers
  • Nelson is fixing up office and must spend less than $7,500 to hire carpenters and painters. Carpenters charge $28 per hour and p
    9·1 answer
  • Jerry mixed 7/8 cup olive juice with 7/8 cup pickle juice. He drank 7/8 of a cup and threw out the rest. How much did he trow ou
    11·2 answers
  • Ship A receives a distress signal from the southwest, and ship B receives a distress signal from the same vessel from the north.
    5·1 answer
  • A charter airline finds that on its Saturday flights from Philadelphia to London all 160 seats will be sold if the ticket price
    10·1 answer
  • A 16 ounce package of brown rice cost $.79 in the 32 ounce package of white rice cost $3.49 which package is a better deal
    15·1 answer
  • Which expression is equivalent to (4^-3)^-6<br><br> a.) 4^3<br> b.) 4^-9<br> c.) 4^-18<br> d.) 4^18
    7·1 answer
  • Jackie has a closet with 6 red dresses and 2 blue dresses. What is the likelihood of Jackie pulling a red dress out of the close
    5·2 answers
  • Pleaseeeee hellppppdosbshsb I NEED TO KNOW!!!
    6·1 answer
  • Help asap brb.asap asap will give max points
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!