Answer:
b
Step-by-step explanation:
Answer:
5 is D
6 is C
Step-by-step explanation:
Define:
Equilateral - All sides and angles are congruent
Isosceles: Two congruent sides and two congruent angles
Scalene: No congruent sides or angles
Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )
obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )
Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )
Answer:
the triangle shown in # 5 has a right angle and 2 congruent sides and angles
Therefore the triangle in #5 is a right isosceles
The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.
Height of the pentagon = 9 ft
Edge of base = 3 ft

s is the length of any side = 3
n is the number of sides = 5
tan is the tangent function calculated in degrees

Volume of the pentagon = area of base (height )
Volume of the pentagon = 15.4852 (9)
Volume of the pentagon = 139.366
Volume of the pentagon = 139.37 cu.ft
The <em>correct answer</em> is:
4.
Explanation:
Taking these numbers as groups of three, we have 2, 7, 8; 3, 12, 9.
In the first group, we can see that we first add 5 and then add 1.
The next group seems to start from the next consecutive number. That is, the first group starts with 2, and the next group starts with 3. The next terms in the second group are found by adding 5 to the second term of the first group (12 = 7+5) and then adding 1 to the third term of the first group (9=8+1); this is because we added 5 and added 1 previously.
Following this pattern, the next group of three would start from the next consecutive number up, 4. The next two terms would be 17 (12+5=17) and 10 (9+1=10).
n
y
=
−
x
−
4
To find the x-intercept, substitute in
0
for
y
and solve for
x
.
0
=
−
x
−
4
Solve the equa
−
x
−
4
=
0
.
−
x
−
4
=
0
Add
4
to both sides of the equation.
−
x
=
4
Multiply each term in
x
=
−
4
by
−
1
x
=
−
4
To find the y-intercept, substitute in
0
for
x
and solve for
y
.
y
=
−
(
0
)
−
4
Simplify
−
(
0
)
−
4
.
Multiply
−
1
by
0
.
y
=
0
−
4
Subtract
4
from
0
.
y
=
−
4
These are the
x
and
y
intercepts of the equation
y
=
−
x
−
4
.
x-intercept:
(
−
4
,
0
)
y-intercept:
(
0
,
−
4
)
not too sure