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
Anika [276]
3 years ago
12

Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one a

ngle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that ________.
Mathematics
2 answers:
Dmitrij [34]3 years ago
7 0

Answer:

b. <B ~= <C

Step-by-step explanation:

verified

BartSMP [9]3 years ago
5 0

Answer: The required conclusion is

"if in triangle ABC, AB ≅ AC, then ∠B and ∠C must be congruent".

Step-by-step explanation:  Given that in triangle ABC,  AB ≅ AC, implies that AB = AC must be true. We are given to assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other.

If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem.

For the same reason, if m∠B < m∠C, then AC < AB.

This is a contradiction to the given information.

We are to state the conclusion.

Since in the beginning, it is given that AB ≅ AC and we have assumed that ∠B and ∠C are not congruent, so

our assumption must be wrong.

That is, ∠B and ∠C must be congruent.

Thus, the required conclusion is

if in triangle ABC, AB ≅ AC, then ∠B and ∠C must be congruent.

You might be interested in
Help me please 5y+3y=-11
Xelga [282]

I think we are solving for y.

5y + 3y = -11

8y = -11

y = -11/8

3 0
3 years ago
Bowling cost $2 to rent shoes,plus $5 per game. Mini golf cost $5 to rent a club, plus $4 per game. How many games would be the
zaharov [31]

Answer:

Step-by-step explanation:

Assuming the same number of bowling and mini golf games are played, let x represent the total number of games played, either bowling or mini golf. let y represent the total cost of bowling. Let z represent the total cost of golfing

Bowling cost $2 to rent a club plus $5 per game. It means that the cost, y for x bowling games will be

y = 2 + 5x

Mini golf cost $5 to rent a club, plus $4 per game. It means that the cost, y for x mini golf games will be

z = 5 + 4x

For the total cost to be the same, we will equate both equations(y = zl

2 + 5x = 5 + 4x

5x - 4x = 5 - 2

x = 3

There would be 3 games before total cost would be the same

4 0
3 years ago
Read 2 more answers
Jim has an annual salary of $72,000. His monthly expenses include a $1,500 mortgage payment, a $150 lease payment, $500 in minim
Nostrana [21]

Answer:

Step-by-step explanation:

4 0
3 years ago
a food critic collected data on the lengths of time customers waited for their food. order the data from least to greatest time.
Alex17521 [72]
Ok, kind of hard to draw a graph here, but i will try. Look at the numbers, list them from least to greatest. then create the line plot with the numbers, then a tally table.
6 0
3 years ago
Two marbles, each with a mass of 10 g, are placed 5 m apart. What can said of the gravitational force between them?
lions [1.4K]

Answer:

2.67*10⁻¹⁶N

Step-by-step explanation:

The gravitational force between two masses is expressed as

F=Gm₁m₂/d²

where m is the mass value,

G is the gravitational constant with a value 6.67*10⁻¹¹Nm²kg⁻² and

d is the distance between the masses

Since the masses are of equal value I.e m₁ and m₂=10g=0.01kg and distance d=5m.

If we substitute values we arrive at

F=(6. 67*10⁻¹¹ *0.01*0.01)/5²

F=2.67*10⁻¹⁶N

Hence in conclusion, the gravitational force between two masses of mass 10g at distance 5m is 2.67*10⁻¹⁶N

5 0
3 years ago
Other questions:
  • Let f(x) = 5x - 2 and g(x) = x2.
    14·2 answers
  • it takes 1/2 of a gallon of paint 1/3 of the wall. How Many gallons of paint will it take to paint the entire wall. helppp me as
    11·1 answer
  • the vertex of the parabola is at the point (2,-4). Which of the following could be this parabola’s equation?
    5·1 answer
  • 20 POINTS
    12·1 answer
  • What effect will the presence of the outlier in the data set below have on the median of the data set? {78, 99, 85, 92, 97, 90,
    14·1 answer
  • Which of the linear equations represents the graphed line?
    5·2 answers
  • Plzzzz help!!! quick one ​
    5·1 answer
  • Mrs. Reed collects shells. Each shell in her collection weighs about 4 ounces. Her collection weighs about 12 pounds in all. Abo
    15·1 answer
  • Jake is 2 years younger than Alex. Alex is 1 year older than James. James is twice the age of Amy. When you add all their ages,
    9·2 answers
  • After 15 hours of burning a candle has a height of 25 cm after 29 hours of burning its height is 22.2 CM what is the height of t
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!