Can the following expressions be used to determine the volume of the rectangular prism in cubic inches? Select Yes or No for eac
h expression.
8
×
6
Choose...
(
2
×
4
)
+
6
Choose...
4
×
(
6
×
2
)
Choose...
2
×
(
4
+
6
)
Choose...
8
×
6
Choose...
(
2
×
4
)
+
6
Choose...
4
×
(
6
×
2
)
Choose...
2
×
(
4
+
6
)
Choose...
1 answer:
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Answer:
\angle ACB=40^{\circ}, \angle ABC=63^{\circ}
Step-by-step explanation:
Finding x:
We know that , because it's a straight line. So,
.
We know that the sum of the angles of any triangle will be .
So, we have that .
Combining like terms on the left gives .
Subtracting from both sides gives
.
Dividing both sides by gives
.
Finding missing angle measures:
.
.
So, and
and we're done!
Note: . Coincidence? If not, try and prove it!