Complete question
To find
, Beau found
and
. He said that since 5 is between 4 and 9,
, is between 2 and 3. Beau thinks a good estimate for
, is
Is his estimate high or low? How do you know?
Answer:
The estimation is high because 5 is very close to 4 so
will also be very close to
which is lower than the estimate
In order to get a good estimate
The first step is to choose a number between 2 and 3 let say 2.8 , 2,85 , 2.9 and the square them
i.e



From here we can see that
lies between 2.2 and 2.3 but is closer to 2.2
So a good estimate for
is 2.2
Step-by-step explanation:
Answer:
If the goal is to break the vases: 3/20 = 15.0% or 0.15
If the goal is to not break the vases: 17/20 = 85.0% or 0.85
2(3x-4) = 5x+6
First, expand the bracket.
6x-8=5x+6
Next, move the variables to the same side.
x-8=6
Move the -8 to the other side, change to +
x=6+8
x=14
Charlie’s solution is incorrect. When expanding the bracket, he changed the - to a +.
As shown in the given figure
line a // line b ⇒ given
MR and NP are transversals
So, for ΔMOP and ΔRON , we can conclude the following
(1) ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent
So, from 1,2 and 3
∴ ΔMOP <span>~ </span>ΔRON by AAA-Rule