Angle ABC measures 140°. Angle DBC bisects ∠ABC. Angle EBC bisects ∠DBC. What is the measure of ∠EBC?

Mathematics

1 answer:

Brrunno [24]1 year ago

5 0

Answer:

$\angle{EBC}=35\textdegree$

An angle bisector divides the angle measure into two equal parts. In triangle ABC, B is the point at which the angle lies.

Step-by-step explanation:

Picture segment BD drawn from point B of tri.ABC where it connects to segment AC, creating point D. Now picture E drawn on the newly created segment DC where it connects to point B and down to point C. Here's a drawing to better show this:

It's bisecting the bisected angle ABC. So, 140/2 = 70, and 70/2 = 35.

You might be interested in

Help I can't figure this out

Solnce55 [7]

If that were an entire circle, the entire area would be:
area = PI * radius ^2
area = 113.0973355292

Since it is 165 degrees, then the area equals
165 / 360 * 113.0973355292

 equals 51.8362787842 

answer is b

3 0

3 years ago

Plssssss help I reposted because no one answered my last one please help.

max2010maxim [7]

Answer and Step-by-step explanation:

I think this is the correct answer (in picture):

This is because you can either get Heads or Tails, so once you flip it once, you just flip it again and you will get either heads or tails.

#teamtrees #PAW (Plant And Water)

6 0

2 years ago

PLEASE HELP precal!

sergij07 [2.7K]

Check the picture below

so.. .hmmm the vertex is at the origin... and we know the parabola passes through those two points... let's use either.. say hmmm 100,-50, to get the coefficient "a"

keep in mind that, the parabolic dome is vertical, thus we use the y = a(x-h)²+k version for parabolas, which is a vertical parabola

as opposed to x = (y-k)²+h, anyway, let's find "a"

$\bf y=a(x-0)^2+0\implies y=ax^2\qquad 
\begin{cases}
x=100\\
y=-50
\end{cases}\implies -50=a100^2
\\\\\\
\cfrac{-50}{100^2}=a\implies -\cfrac{1}{200}=a
\\\\\\
thus\qquad \qquad y=-\cfrac{1}{200}x^2\implies \boxed{y=-\cfrac{x^2}{200}}$

now.. .your choices, show.... a constant on the end.... a constant at the end, is just a vertical shift from the parent equation, the equation we've got above.. is just the parent equation, since we used the origin as the vertex, it has a vertical shift of 0, and thus no constant, but is basically, the same parabola, the one in the choices is just a shifted version, is all.