9514 1404 393
Answer:
(c) Not parallel: corresponding angles are not congruent
Step-by-step explanation:
The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.
Step 1
Anything divided by one gives itself.
\frac{1}{8}=-8\text{ and }\frac{-8}{1}=\frac{-12}{48}
8
1
=−8 and
1
−8
=
48
−12
Step 2
Convert -8−8 to fraction -\frac{64}{8}−
8
64
.
\frac{1}{8}=-\frac{64}{8}\text{ and }\frac{-8}{1}=\frac{-12}{48}
8
1
=−
8
64
and
1
−8
=
48
−12
Step 3
Compare \frac{1}{8}
8
1
and -\frac{64}{8}−
8
64
.
\text{false}\text{ and }\frac{-8}{1}=\frac{-12}{48}false and
1
−8
=
48
−12
Step 4
Anything divided by one gives itself.
\text{false}\text{ and }-8=\frac{-12}{48}false and −8=
48
−12
Step 5
Reduce the fraction \frac{-12}{48}
48
−12
to lowest terms by extracting and canceling out 1212.
\text{false}\text{ and }-8=-\frac{1}{4}false and −8=−
4
1
Step 6
Convert -8−8 to fraction -\frac{32}{4}−
4
32
.
\text{false}\text{ and }-\frac{32}{4}=-\frac{1}{4}false and −
4
32
=−
4
1
Step 7
Compare -\frac{32}{4}−
4
32
and -\frac{1}{4}−
4
1
.
\text{false}\text{ and }\text{false}false and false
Step 8
The conjunction of \text{false}false and \text{false}false is \text{false}false.
\text{false}false
Hint
Do the arithmetic.
Solution
\text{false}false
Answer:
B
Step-by-step explanation:
Use the formula for radius and circle circumference.
Since we know the diameter, if we divide that by 2, we can get the radius.
Now we can plug that value into the circumference formula to get the circumference.
*Since we're rounding to the nearest inch.
Answer
0.63
Explanation:
Given the expression
tan 32
Using Calculator
tan 32 = 0.6248
Converting to nearest hunderdth
tan 32 = 0.63
hence tan 32 to the nearest hunderdth is 0.63
Given:
• Amount to save, A = $28,000
,
• Time, t = 6 years
,
• Interest rate, r = 5.3% ==> 0.053
,
• Number of times compounded = quarterly = 4 times
Let's find the amount that must be deposited into the account quarterly.
Apply the formula:
Where:
FV is the future value = $28,000
r = 0.053
n = 4
t = 6 years
Thus, we have:
Let's solve for P.
We have:
Solving further:
Divide both sides by 28.0384237:
Therefore, the amount that must be deposited quarterly into the account is $998.60
ANSWER:
$998.60
