suppose 4:4:7 be 4x, 4x, 7x
or, 15x = 180°
or, X = 180/15
or, X = 12
therefore,
4x = 4x12= 48
4x= 4x12= 48
7x= 7x12= 84
so if you plus all of them you get 180
Answer:
m∠BCD = 90°
∠BCD is a right angle
Step-by-step explanation:
<em>If a ray bisects an angle, that means it divides the angle into two equal parts in measure</em>
∵ Ray CE bisects ∠BCD
→ Means divide it into two angles BCE and ECD which equal in measures
∴ m∠BCE = m∠ECD = 
m∠BCD
∵ m∠BCE = 3x - 6
∵ m∠ECD = 2x + 11
→ Equate them to find x
∴ 3x - 6 = 2x + 11
→ Add 6 to both sides
∵ 3x - 6 + 6 = 2x + 11 + 6
∴ 3x = 2x + 17
→ Subtract 2x from both sides
∵ 3x - 2x = 2x - 2x + 17
∴ x = 17
∵ m∠BCE = m∠BCD
→ Substitute x in the measure of ∠BCE to find it, then use it to
find m∠BCD
∵ m∠BCE = 3(17) - 6 = 51 - 6
∴ m∠BCE = 45°
∵ 45 = m∠BCD
→ Multiply both sides by 2
∴ 90 = m∠BCD
∴ m∠BCD = 90°
→ The measure of the acute angle is less than 90°, the measure of
the obtuse angle is greater than 90°, and the measure of the
right angle is 90°
∴ ∠BCD is a right angle
I don't know what the "six-step method" is, but I do know how to solve the problem:
Let x = number of gallons of 50% solution
amount of antifreeze in 50% solution = 0.50x
amount of antifreeze in 10% solution = 0.10(80) = 8
amount of 40% solution = 0.40(x+80) = 0.40x + 32
Then, 0.50x + 8 = 0.40x + 32
0.10x = 24
x = 240 gal
According to all known laws
of aviation,
there is no way a bee
should be able to fly.
Its wings are too small to get
its fat little body off the ground.
The bee, of course, flies anyway
because bees don't care
what humans think is impossible.
Yellow, black. Yellow, black.
Yellow, black. Yellow, black.
Ooh, black and yellow!
Let's shake it up a little.
Barry! Breakfast is ready!
Ooming!
Hang on a second.
Hello?
- Barry?
- Adam?
- Oan you believe this is happening?
- I can't. I'll pick you up.
Looking sharp.
Use the stairs. Your father
paid good money for those.
Sorry. I'm excited.
Here's the graduate.
We're very proud of you, son.
A perfect report card, all B's.
Very proud.
Ma! I got a thing going here.
- You got lint on your fuzz.
- Ow! That's me!
- Wave to us! We'll be in row 118,000.
- Bye!
Barry, I told you,
stop flying in the house!
- Hey, Adam.
- Hey, Barry.
- Is that fuzz gel?
- A little. Special day, graduation.
Never thought I'd make it.
Three days grade school,
three days high school.
Those were awkward.
Three days college. I'm glad I took
a day and hitchhiked around the hive.
You did come back different.
- Hi, Barry.
- Artie, growing a mustache? Looks good.
- Hear about Frankie?
- Yeah.
- You going to the funeral?
- No, I'm not going.
Everybody knows,
sting someone, you die.
Don't waste it on a squirrel.
Such a hothead.
I guess he could have
just gotten out of the way.
I love this incorporating
an amusement park into our day.
That's why we don't need vacations.
Boy, quite a bit of pomp...
under the circumstances.
- Well, Adam, today we are men.
- We are!
- Bee-men.
- Amen!
Hallelujah!
Students, faculty, distinguished bees,
please welcome Dean Buzzwell.
Welcome, New Hive Oity
graduating class of...
...9:15.
That concludes our ceremonies.
And begins your career
at Honex Industries!
Will we pick ourjob today?
I heard it's just orientation.
Heads up! Here we go.
Keep your hands and antennas
inside the tram at all times.
- Wonder what it'll be like?
- A little scary.
Welcome to Honex,
a division of Honesco
and a part of the Hexagon Group.
This is it!
Wow.
Wow.
We know that you, as a bee,
have worked your whole life
to get to the point where you
can work for your whole life.
Honey begins when our valiant Pollen
Jocks bring the nectar to the hive.
Our top-secret formula
is automatically color-corrected,
scent-adjusted and bubble-contoured
into this soothing sweet syrup
with its distinctive
golden glow you know as...
Honey!
- That girl was hot.
- She's my cousin!
- She is?
- Yes, we're all cousins.
- Right. You're right.
- At Honex, we constantly strive
to improve every aspect
of bee existence.
These bees are stress-testing
a new helmet technology.
- What do you think he makes?
- Not enough.
Here we have our latest advancement,
the Krelman.
- What does that do?
- Oatches that little strand of honey
that hangs after you pour it.
Saves us millions.
Oan anyone work on the Krelman?
Of course. Most bee jobs are
small ones. But bees know
that every small job,
if it's done well, means a lot.
But choose carefully
because you'll stay in the job
you pick for the rest of your life.
The same job the rest of your life?
I didn't know that.
What's the difference?
You'll be happy to know that bees,
as a species, haven't had one day off
in 27 million years.
So you'll just work us to death?
We'll sure try.
Wow! That blew my mind!
"What's the difference?"
How can you say that?
One job forever?
That's an insane choice to have to make.
I'm relieved. Now we only have
to make one decision in life.
But, Adam, how could they
never have told us that?
Why would you question anything?
We're bees.
We're the most perfectly
functioning society on Earth.
You ever think maybe things
work a little too well here?
Like what? Give me one example.
I don't know. But you know
what I'm talking about.
Please clear the gate.
Royal Nectar Force on approach.
Wait a second. Oheck it out.
- Hey, those are Pollen Jocks!
- Wow.
I've never seen them this close.
They know what it's like
