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.
The probability the pitch over the plate is a ball is 5:10. (5 balls and 10 strikes over the plate) should be written as 5:15 or 1:3 so this one is inaccurate.
Answer:
The answer is 2427.5
Step-by-step explanation:
The fraction consists of two numbers and a fraction bar: 4,855/200
The number above the bar is called numerator: 4,855
The number below the bar is called denominator: 200
The fraction bar means that the two numbers are dividing themselves.
To get fraction's value divide the numerator by the denominator:
Value = 4,855 ÷ 200
To calculate the greatest common factor, GCF:
1. Build the prime factorizations of the numerator and denominator.
2. Multiply all the common prime factors, by the lowest exponents.
Factor both the numerator and denominator, break them down to prime factors:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
4,855 = 5 × 971;
4,855 is a composite number;
In exponential notation:
200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;
200 is a composite number;
He buys 30 bottles which each costs 3 dollars. So 30 times 3 means he pays 90 dollars. Plus the 25 dollar handling fee which is 115. However the competing supplier is 4 dollars every bottle for the pint bottle. So if he bought 30 times 4 he would pay 120. That is without the handling money. So thats why he should stay with his
The answer to this question would be: <span>-$1,700
In this question, we can separate the account into positive/debit and negative/credit value. The positive/debit value should be:
Joaquin has $1,300 in the bank
He has $4,000 worth of investment
Total positive value = $1300 + $4000= $5300
The negative value should be
</span><span>$7,000 worth of credit card debt
</span>Total positive value =$7000
<span>
Then the net worth should be: $5300 - $7000= -$1700</span>
