The pentagon's area is the sum of the 5 triangles that comprise it. This is

where the factor of 2 accounts for the top and bottom. The walls have an area of 5 rectangles
Answer:
158 in²
Step-by-step explanation:
<u>Surface area</u>
A = 2·(l·w + l·h + w·h)
= 2·(3in·8in + 8in·5in + 3in·5in)
= 2·(24in² + 40in² + 15in²)
= 2·(79in²)
= 158 in²
al3xis
Answer:
X = 4
Step-by-step explanation:
5x + 3 = 23
Subtract 3 from both sides: 5x = 20
Divide both sides by 5: x = 4
Answer:
Explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the values from the points in the problem gives:
d
=
√
(
−
6
−
−
3
)
2
+
(
−
4
−
−
5
)
2
d
=
√
(
−
6
+
3
)
2
+
(
−
4
+
5
)
2
d
=
√
(
−
3
)
2+
1
2
d
=
√
9+
1
d
=
√
10
Or
d
=
3.162
rounded to the nearest thousandth
The value of
that satisfies all the expressions of the system of linear equations is 20.
<h3 /><h3>Procedure - Determination of a variable associated to a pair of corresponding angles</h3>
According to the figure, angles 1 and 5 are <em>corresponding</em> angles between two <em>parallel</em> lines, therefore we have the following equivalence:
(1)
After some algebraic handling we find the value of
:


The value of
that satisfies all the expressions of the system of linear equations is 20.
<h3>Remarks</h3>
There is a missing figure for the statement, we proceed to include it below after some research.
To learn more on angles, we kindly invite to check this verified question: brainly.com/question/15767203