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Math Problems
Grade 7
Find missing angles in triangles using ratios
An unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that express volume as a function of the mass.
\newline
Round your answers to
3
3
3
decimal places
\newline
\begin{tabular}{|r|r|}
\newline
\hline grams & Volume in
m
l
\mathrm{ml}
ml
\\
\newline
\hline
18
18
18
&
141
141
141
.
3
3
3
\\
\newline
\hline
19
19
19
.
5
5
5
&
153
153
153
.
1
1
1
\\
\newline
\hline
21
21
21
&
168
168
168
.
1
1
1
\\
\newline
\hline
22
22
22
.
5
5
5
&
178
178
178
.
4
4
4
\\
\newline
\hline
24
24
24
&
184
184
184
.
6
6
6
\\
\newline
\hline
25
25
25
.
5
5
5
&
202
202
202
.
2
2
2
\\
\newline
\hline
27
27
27
&
214
214
214
.
1
1
1
\\
\newline
\hline
\newline
\end{tabular}
\newline
Volume
=
=
=
□
\square
□
x
+
x+
x
+
□
\square
□
where
x
x
x
is the grams of the unknown metal
\newline
Question Help:
□
\square
□
Message instructor
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Below are two parallel lines cut by a transversal.
\newline
Name the angles that are related to angle
s
s
s
in the following ways.
\newline
Angle
s
s
s
and angle
□
\square
□
are vertical angles.
\newline
Angle
s
s
s
and angle
□
\square
□
are supplementary angles.
\newline
Angle
s
s
s
and angle
□
\square
□
are alternate interior angles.
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The sum of the measures of the angles of any triangle is
180
180
180
degrees. In triangle
A
B
C
A B C
A
BC
, angles
A
A
A
and
B
B
B
have the same measure, while the measure of angle
C
C
C
is
72
72
72
degrees larger than each of
A
A
A
and
B
B
B
. What are the measures of the three angles?
\newline
Angle
A
A
A
is
□
\square
□
degrees.
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Name J.P.
\newline
Unit
16
16
16
Review
\newline
Use what you know to label each triangle below based on the sides: scalene, equilateral, isosceles.
\newline
Use what you know to label each triangle below based on the angles: right, obtuse, acute.
\newline
3
3
3
angles that all measure less than
90
90
90
degrees
\newline
1
1
1
angle that measures
\newline
An angle that exactly
90
90
90
degrees measures greater than
90
90
90
degrees
\qquad
\newline
\qquad
\newline
sify each triangle by the measure of its angles and the length of its sides.
\newline
1
1
1
.
\newline
2
2
2
.
\newline
3
3
3
.
\newline
Angles:
\newline
Angles:
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Triangle
E
F
G
EFG
EFG
on one side
F
G
FG
FG
measures
20
m
20\,\text{m}
20
m
and angle
DEF
\text{DEF}
DEF
is
60
60
60
degrees.
E
G
EG
EG
bisects angle
DEF
\text{DEF}
DEF
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Triangle
x
y
z
xyz
x
yz
has these measures.
\newline
• angle
x
x
x
has a measure of
36.2
36.2
36.2
degrees
\newline
• angle
y
y
y
is
98
98
98
degrees
\newline
What is
z
z
z
?
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