I think best word to insert in the blank is the term "bisecting".
An altitude of a triangle is a line or segment that passes through a vertex of the triangle and is bisecting <span>to the line containing the opposite side.
</span>"Bisect<span>" means to divide into two equal parts which is true for the altitude of a triangle.</span>
I think 180 that should be your answer sorry i did not get here quick enough
Answer:
(0, -3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
6x - 5y = 15
x = y + 3
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 6(y + 3) - 5y = 15
- Distribute 6: 6y + 18 - 5y = 15
- Combine like terms: y + 18 = 15
- [Subtraction Property of Equality] Subtract 18 on both sides: y = -3
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = y + 3
- Substitute in <em>y</em>: x = -3 + 3
- Add: x = 0
Answer:
3/10
Step-by-step explanation:
Subtract the sum of 1/3, 4/15 and 1/10 from 1:
10/30 + 8/30 + 3/30 = 21/30, or 7/10
Then: 1 - 7/10 = 3/10
Answer:
Length of DE is : 18√2 units
Step-by-step explanation:
The length of a side of a triangle is 36.
To calculate : The length of the segment DE
Now, the two parts of triangle have equal area ∴ Area(ADE) = Area(BDEC)

In ΔABE and ΔABC,
∠A = ∠A (Common angles)
∠ABE = ∠ABC (Corresponding angles are always equal)
By AA postulate of similarity of triangles, ΔABE ~ ΔABC.
Hence by area side proportionality theorem

Hence, length of DE is 18√2 units