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
Otrada [13]
3 years ago
10

URGENT!!! please help me with these two problems, and solve with statement-reasoning. Thank you!!!

Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

By definition the median of the triangle bisects the  base of the isosceles triangle.

We need to prove that the 2 triangles formed by the median are congruent.

If the 2 triangles are ABD  and ACD  where BD is the median and < ABC is the angle from which BD is drawn.

BD = BD  ( the common side)

AD = DC ( because BD is the median).

AB =  AC ( because ABC is  an isosceles triangle).

So Triangles ABD and ACD are congruent by SSS.

Therefore  m < ABD = m <  CBD,  so BD is the bisector of < ABC.

To prove BD is also the altitude:

Triangles ABD and CBD are congruent as we have just proven. Therefore the

of measure of the base angle ABD = m < CBD . Also they are adjacent angles ( on the same line) so they add up to 180.

Therefore angles ABD and CBD are both  right angles and BD is the altitude of triangle ABC.

You might be interested in
If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be wort
gizmo_the_mogwai [7]

Answer:

$638.14

Step-by-step explanation:

Our equation is p*(1+x)^{t}, with p being the starting amount, x being the interest rate, and t being the time. Plugging our variables in, we get

500*(1+0.05)^{5} = around 638.14

6 0
3 years ago
Explain now!!! And tell how
Elenna [48]

Answer:

1.33 ounces

Step-by-step explanation:

Divide the food by the cats. 8/6=4/3≈1.33 ounces.

4 0
3 years ago
Read 2 more answers
When you combine equations and both variables are eliminated and the result is a true statement, the system of equations has ___
Andrews [41]
One or a unique its the some thing
3 0
3 years ago
Yello, I'm givin' away pointssssssssssssss
Aloiza [94]
Thanks!!!!!! :)))shahhshsuwueushshshshs
5 0
3 years ago
Read 2 more answers
A savings account with a current balance of $5,000 earns 2.75% annual interest, compounded continuously. To the nearest dollar,
Anna11 [10]
Use this formula. P=5000, r=0.0275, n=e, t=10

4 0
3 years ago
Read 2 more answers
Other questions:
  • A random sample of 118 light bulbs had a mean life of hours with a standard deviation of hours. Construct a 90 percent confidenc
    6·1 answer
  • Factor the difference of two perfect squares using the X method. What are the two binomial factors for x2 – 25?
    16·2 answers
  • the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount
    13·1 answer
  • A box of chocolates contains, on average, 12 pieces of chocolate. If the number of chocolates in each box never varies from the
    9·1 answer
  • Rainwater was collected in water collectors at thirty different sites near an industrial basin and the amount of acidity (pH lev
    14·1 answer
  • 1. Combine the expressions<br>(a) 7x+3+6x +11​
    13·1 answer
  • Determine the solution to this system of equations. You may refer to the graph on the previous problem. Write the answer as an o
    5·2 answers
  • An isotope of iodine has a mass of 134 amu. How many neutrons does the
    8·1 answer
  • X+5-4x+5≤−4 plz help
    7·2 answers
  • PLZZZ. HELP ME. IM GIVING AWAY LOADS OF POINTSSSSSSSSSSSS
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!