Answer:
70
Step-by-step explanation:
Since these two are same side interior angles, their measures must be supplementary. This means that they must add up to 180 degrees. Therefore:
45+2x-5=180
2x+40=180
2x=140
x=70
Hope this helps!
Answer:
664
Step-by-step explanation:
41 lbs and 8 oz = 41.5 lbs bc 8 oz is half a lbs
so 41.5*16=664
Answer:
an=8n−14
Step-by-step explanation:
for an AP
where
a
1
=
the first term
d
=
the common difference
then we have
a
1
,
(
a
1
+
d
)
,
(
a
1
+
2
d
)
,
...
,
a
1
+
(
(
n
−
1
)
d
)
,
.
.
we are given the third term
10
=
a
1
+
2
d
−
−
(
1
)
and the fifth term
26
=
a
1
+
4
d
−
−
(
2
)
subtract
(
2
)
−
(
1
)
16
=
2
d
⇒
d
=
8
sub into
(
1
)
10
=
a
1
+
2
×
8
⇒
a
1
=
−
6
so the nth term
a
n
=
a
+
(
n
−
1
)
will be
a
n
=
−
6
+
8
(
n
−
1
)
a
n
=
8
n
−
14
Answer:P(8)=1/10
The events are mutually exclusive so,
P(4 or 6 or 8)=P(4)+P(6)+P(8)=1/10+1/10+1/10=3/10.
