Answer:
As per ASA postulate, the two triangles are congruent.
Step-by-step explanation:
We are given two triangles:
and 
.
AD bisects BE.
AB || DE.
Let us have a look at two properties.
1. When two lines are parallel and a line intersects both of them, then <em>alternate angles </em>are equal.
i.e. AB || ED and 
and 
are alternate angles 
.
2. When two lines are cutting each other, angles formed at the crossing of two, are known as <em>Vertically opposite angles </em>and they are are <em>equal</em>.
Also, it is given that <em>AD bisects BE</em>.
i.e. EC = CB
1.
2. EC = CB
3. 
So, we can in see that in and , two angles are equal and side between them is also equal to each other.
Hence, proved that 
.
Step-by-step explanation:
they're is a neat little trick.
but first of all, "roots" means the 0 solutions of the equation. like
ax² + bx + c = 0
there are 2 solutions for x to make the whole expression equal 0.
these are the "roots".
now to the little trick :
when is a multiplication resulting in 0 ?
when at least one of the factors is 0.
and any quadratic expression can be written as multiplication of 2 factors. like
c(x - a)(x - b) = cx² - cax - cbx + cab
what are the "roots" or 0 points ?
either
c = 0
x - a = 0 | x = a
x - b = 0 | x = b
the leading coefficient = 3.
that means nothing else than c = 3.
root = 1 means (x - 1) is one factor.
root = -5 means (x + 5) is the other factor.
so, we have
3(x - 1)(x + 5) = 3x² + 12x - 15
and the equation is
3x² + 12x - 15 = 0
or
3x² + 12x = 15
Answer:
D.
Step-by-step explanation:
-2/5 - (-9/15) = -2/5 + 9/15.
both of those equations are equivalent.
hope this helps.
Answer:
7000
Step-by-step explanation:
Tan(angle) = opposite leg/ adjacent leg
Tan(30) = x/22
X = 22 * tan(30 )
X = 12.701 feet.
Round as needed
