When you have a triangle and 2 of 3 angles are given the degrees and the last one is unknown, you subtract the two given degrees from each other to get your unknown, right? Just checking :D Tell me if I'm wrong from my notes and file attached please
Answers
No, that's not right. Sadly, the answer you entered on the
attached drawing is incorrect. It's slightly more complicated
than that ... only slightly.
First, think about this for a second: What if the two GIVEN angles
on the drawing had the same number of degrees ? Then by the
method you've been using, you would subtract them from each
other, and that would give you zero. So you would say that the
last angle is zero degrees ? Can you see that this doesn't really
work ?
Here's how it's really done:
It all rests on a rule about triangles. This is ALWAYS true, and
you should memorize it:
When you add up the degrees of all three angles
inside a triangle, the sum is ALWAYS 180 degrees.
So now, when you're given two of the angles, you know that
the unknown one must be exactly enough to bring the sum of
ALL of them up to 180 degrees.
Work it like this:
-- Take the two given angles.
-- ADD them.
-- Subtract their SUM from 180.
Now you have the third angle.
In the drawing you attached:
-- The given angles are 39 and 102 .
-- Add them: 39 + 102 = 141
-- Subtract the sum from 180: 180 - 141 = 39 .
The unknown angle is 39 degrees.
But that's the same as one of the given angles ! ? :-( ? :-(
That's OK. It's perfectly fine for two of the angles, or sometimes
even all three, to be the same size. They just have to all add up
to 180 degrees, and everything is fine.
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Answers
Before you rush off and start trying to do complicated things with that equation,
put your pencil down, fold your hands in your lap, and sit and look at it for a while.
Keep looking at it until a little voice yells out "Hey ! That's a true statement if
either (4k + 5) is zero or (k+1) is zero. THEN go to work on it.
(4k + 5 = 0)
4k = -5
k = -5/4
(k + 1 = 0)
k = -1
And there are the two solutions to that equation.
Answers
Answer: 120 lb of potatoes.
Step-by-step explanation:
Let the pounds of potatoes sold by farmer Bill = X lb
Fractional part sold to the first person = 1/4
Therefore 1/4 of X = 1/4 x X
= X/4 lb of potatoes.
No of potatoes left for sale = X - X/4
= ( 4x - x )/4
= 3x/4 lb.
Fractional part sold to the second person out of the reminder = 4/9
Therefore 4/9 of 3x/4 = 4/9 x 3x/4
= x/3 lb of potatoes.
Amount of potatoes left for sale = 3x/4 - x/3
Resolve into fraction , we have = (9x - 4x)/12, because 12 is the LCM.
= 5x/12
Third buyer bought 4/5 of the left over = 4/5 of 5x/12
= x/3 lb of potatoes.
Amount of potatoes left = 5x/12 - x/3
Resolve in to fraction again taking 12 as the LCM = ( 5x - 4x )/12
= x/12 lb of potatoes .
Therefore, the left over was 10 lb .
To determine the value of x now which correspond to the amount of potatoes sold by Farmer Bill, we shall the equate the left to x/12 = 10
we now cross multiply to get the value of x x = 120 lb.
therefore the pound of potatoes sold by farmer Bill = 120 lb.
Answer:
120 potatoes
Step-by-step explanation:
Answers
To solve this problem, we first have to combine the two fractions on the left side of the equation. To do this, we must make a common denominator of 8. Because 8/8 is equal to 1, we can substitute this value into the equation:
3x/8 - 8/8 = 5/8
Next, we can subtract the fractions on the left side of the equation to simplify. Remember that if fractions have the same denominator, we simply subtract their numerators and keep the difference over the common denominator.
3x - 8/8 = 5/8
Since both sides of the equation have a denominator of 8, we can cancel out this denominator on both sides by multiplying both sides by 8. This gives us:
3x - 8 = 5
Next, we should add 8 to both sides of the equation so that we can get all of the constants to the right side of the equation.
3x = 13
Finally, we should divide both sides by 3 to get the variable alone on the left side of the equation.
x = 13/3
Therefore, your answer is x = 13/3.
Hope this helps!
Answers
cube and sphere
the diameter of the sphere=height of box=legnth of box=width of box
volume of cube=side^3
volume of sphere=(4/3)pir^3
side=d=2r
Vcube=d^3
vsphere=(4/3)pi(d/2)^3
Vsphere=(pid^3)/6
percent
basketballV/boxV=( (pid^3)/6)/(d^3)=(pid^3)/(6d^3)=pi/3=aprox 0.523599=52.3599% (round if nececary)
A.
–9
B.
0
C.
9
D.
18
Answers
|9| = 9
Answer: 9
Answer: C. 9
Xtra info: [-9] would just mean 9, that is how far it is away from 0.
Relationship T: Veron cooked 6 hamburgers in 10 min, and thenhe cooked 9 hamburgers in 15 min.
What statement is true about these relationships?
A.Neither relationship is a direct variation.
B.Both relationships are direct variation.
C.Only relationship S is a direct variation.
D.Only relationship T is a direct variation.
Answers
S) This is because 160 ÷ 2 = 80 and 4÷2 = 2
T) This is because 1.5x6=9 and 1.5x10= 15