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Let’s check out your problem:
A triangle has angle measurements of
16
2
∘
162^\circ
16
2
∘
,
1
7
∘
17^\circ
1
7
∘
, and
1
∘
1^\circ
1
∘
. What kind of triangle is it?
\newline
Choices:
\newline
(A) acute
\newline
(B) right
\newline
(C) obtuse
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Math Problems
Grade 8
Classify triangles
Full solution
Q.
A triangle has angle measurements of
16
2
∘
162^\circ
16
2
∘
,
1
7
∘
17^\circ
1
7
∘
, and
1
∘
1^\circ
1
∘
. What kind of triangle is it?
\newline
Choices:
\newline
(A) acute
\newline
(B) right
\newline
(C) obtuse
Verify Sum of Angles:
Step
1
1
1
: Verify if the sum of the angles equals
180
°
180°
180°
.
\newline
Sum of angles =
162
°
+
17
°
+
1
°
=
180
°
162° + 17° + 1° = 180°
162°
+
17°
+
1°
=
180°
.
Identify Triangle Type:
Step
2
2
2
: Identify the type of triangle based on the largest angle.
\newline
The largest angle is
16
2
∘
162^\circ
16
2
∘
, which is greater than
9
0
∘
90^\circ
9
0
∘
.
Triangle is Obtuse:
Step
3
3
3
: Since the largest angle is greater than
9
0
∘
90^\circ
9
0
∘
, the triangle is obtuse.
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One angle of a parallelogram measures
4
0
∘
40^\circ
4
0
∘
. What are the measures of the other three angles in the parallelogram?
\newline
‾
∘
,
\underline{\hspace{1cm}}^\circ,
∘
,
‾
∘
,
\underline{\hspace{1cm}}^\circ,
∘
,
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\underline{\hspace{1cm}}^\circ
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One angle of a triangle measures
11
0
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11
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2
:
5
2:5
2
:
5
. What are the measures of those two angles?
\newline
‾
∘
\underline{\hspace{1cm}}^\circ
∘
and
‾
∘
\underline{\hspace{1cm}}^\circ
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Three of the angles in a quadrilateral measure
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8
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,
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,
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and
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∘
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\newline
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Question
A circle in the
x
y
x y
x
y
-plane has the equation
\newline
(
x
+
17.5
)
2
+
(
y
−
15.
3
‾
)
2
=
18.1
(x+17.5)^{2}+(y-15 . \overline{3})^{2}=18.1
(
x
+
17.5
)
2
+
(
y
−
15.
3
)
2
=
18.1
\newline
Which of the following best describes the location of the center of the circle and the length of its radius?
\newline
Choose
1
1
1
answer:
\newline
(A) Center:
(
−
17.5
,
15.
3
‾
)
(-17.5,15 . \overline{3})
(
−
17.5
,
15.
3
)
\newline
Radius:
18.1
\sqrt{18.1}
18.1
\newline
(B) Center:
(
−
17.5
,
15.
3
‾
)
(-17.5,15 . \overline{3})
(
−
17.5
,
15.
3
)
\newline
Radius:
18
18
18
.
1
1
1
\newline
(C) Center:
(
17.5
,
−
15.
3
‾
)
(17.5,-15 . \overline{3})
(
17.5
,
−
15.
3
)
\newline
Radius:
18.1
\sqrt{18.1}
18.1
\newline
(D) Center:
(
17.5
,
−
15.
3
‾
)
(17.5,-15 . \overline{3})
(
17.5
,
−
15.
3
)
\newline
Radius:
18
18
18
.
1
1
1
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Question
Select the type of cross section formed when a right cylinder is cut parallel to its base.
\newline
square
\newline
pentagon
\newline
circle
\newline
rectangle
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Select the type of cross section formed when a sphere is cut by a vertical plane.
\newline
triangle
\newline
square
\newline
circle
\newline
pentagon
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Question
What is the formula to find the perimeter of a rectangle?
\newline
P
=
l
⋅
w
P=l \cdot w
P
=
l
⋅
w
\newline
P
=
l
+
w
P=l+w
P
=
l
+
w
\newline
P
=
2
(
l
+
w
)
P=2(l+w)
P
=
2
(
l
+
w
)
\newline
P
=
2
l
+
w
P=2 l+w
P
=
2
l
+
w
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Question
Find the common ratio of the geometric sequence
−
9
,
−
72
,
−
576
,
…
-9,-72,-576, \ldots
−
9
,
−
72
,
−
576
,
…
\newline
Answer:
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Question
Evaluate.
\newline
log
9
1
9
\log _{9} \frac{1}{9}
lo
g
9
9
1
\newline
Write your answer in simplest form.
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Question
Evaluate.
\newline
log
8
1
8
\log _{8} \frac{1}{8}
lo
g
8
8
1
\newline
Write your answer in simplest form.
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