Step-by-step explanation:
true equation when x is replaced by 2, and is a false ... is written in terms of P, R, and T.” In some cases, before using a formula it may be ... (2) a number line graph, or (3) interval notation.
FOIL stands for first, outer, inner, and last.
So, you multiply the first terms together, the outer terms together, the inner terms together, and then the last terms together.
(b+3)(b-9)
b^2-9b+3b-27 Then simplify
b^2-6b-27
Answer:
see below
Step-by-step explanation:
<h3>Proposition:</h3>
Let the diagonals AC and BD of the Parallelogram ABCD intercept at E. It is required to prove AE=CE and DE=BE
<h3>Proof:</h3>
1)The lines AD and BC are parallel and AC their transversal therefore,
![\displaystyle \angle DAC = \angle ACB \\ \ \qquad [\text{ alternate angles theorem}]](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%20%5Cangle%20DAC%20%3D%20%20%5Cangle%20ACB%20%5C%5C%20%20%5C%20%5Cqquad%20%5B%5Ctext%7B%20alternate%20angles%20theorem%7D%5D)
2)The lines AB and DC are parallel and BD their transversal therefore,
![\displaystyle \angle BD C= \angle ABD \\ \ \qquad [\text{ alternate angles theorem}]](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%20%5Cangle%20BD%20C%3D%20%20%5Cangle%20ABD%20%5C%5C%20%20%5C%20%5Cqquad%20%5B%5Ctext%7B%20alternate%20angles%20theorem%7D%5D)
3)now in triangle ∆AEB and ∆CED
therefore,

hence,
Proven
your answer would be 18,100.
35,768-17,652= 18,116
and you have to round so you get
18,100
Answer:
44 degrees
Step-by-step explanation:
x
Let the supplement/compliment by
y
x+
y=90
Complimentary angles add up to 90 degrees.
x+3
y=180
Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:x+y=90 Isolate x:x=90−y Input into the other equation:(90−y)+3y=180Combine like terms, isolate y and its coefficients:2y=90 Isolate yy=45 Input into the first equation:x+45=90 Isolate x:x=45 degrees