Answer:
The proof is given below.
Step-by-step explanation:
Given m∠AEB = 45° and ∠AEC is a right angle. we have to prove that EB divides ∠AEC into two congruent angles, it is the angle bisector.
Given ∠AEC=90° (Given)
∠AEC=∠AEB+∠BEC
⇒ 90° = 45° +∠BEC (Substitution Property)
By subtraction property of equality
⇒ ∠BEC = 90° - 45° = 45°
Hence, both angles becomes equal gives ∠AEB≅∠BEC
Since EB divides ∠AEC into two congruent angles, ∴ EB is the angle bisector.
<u>To consider whether this statement is true or not</u>
⇒ must determine the <u>number of milliliters in a liter</u>
⇒ <u>1 Liter = 1000 milliliter</u>
<u />
<u>To compare both containers, lets set both containers in terms of milliliters</u>
- Container 1 --> 2 Liter Capacity --> 2000 milliliter
- Container 2 --> 3000 milliliter
<u>By looking at the data</u>
⇒ the 3000-milliliter container holds more than the2-liter container
<u>Thus, the statement</u>: A 2-liter container holds more than a 3,000-milliliter container
⇒ <u>False</u>
<u></u>
<u>Answer: False</u>
<u></u>
Hope that helps!
<u />
To solve a quadratic equation like
, you can use the quadratic formula

In your case,
, so the formula becomes

We can simplify the expression:

Since -3 is negative, its square root is computed as

So, the solutions are

Let x= number of 3 cent stamps
let y=number of 5 cent stamps
x+y=8
3x+5y=36
3x+5y=36 3x-5y=36
-3(x+y=8) . -3y-3y=-24
2y=12
y=6
x+6=8
-6 . -6
x=2
There will be 2 3 cent stamps and 6 5 cent stamps
N - 18 = -6
n - 8 = -6
+ 18 + 18
n = 12