Answer:
1) .
2) years
Step-by-step explanation:
Let Hanna's sister be years old.
Then Hanna will be years old.
The sum of their ages will be years.
The statement "no more than 18" means the sum of their ages is less than or equal to 18.
The required inequality is;
.
2)
The inequality we just found is
.
We simplify to get;
.
we divide both sides by to get;
.
Therefore the oldest age Hannah's sister can be is years
The cyclic quadrilateral's opposing angles are 180 degrees, which become supplementary angles.
<h3>What is a cyclic quadrilateral?</h3>
If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
We know that the sum of the opposite angles of the cyclic quadrilateral is equal to 180 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
More about the cyclic quadrilateral link is given below.
brainly.com/question/15061291
#SPJ1
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
a
3
-
b
3
=
(
a
-
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
2
a
=
x
2
and
b
=
y
b
=
y
.
(
x
2
−
y
)
(
(
x
2
)
2
+
x
2
y
+
y
2
)
(
x
2
-
y
)
(
(
x
2
)
2
+
x
2
y
+
y
2
)
Multiply the exponents in
(
x
2
)
2
(
x
2
)
2
.
17-5=12
So Eric has 12 candy bars