Answer:
21x- 21
Step-by-step explanation:
7 × (x × 3 - 3)
7 × (3x - 3)
21x - 21
I'm not sure if the answer is correct
Answer:
16/9 or 1 7/9
Step-by-step explanation:
2/3 ÷ 3/8
2/3 * 8/3
16/9
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b. The sidelines are parallel by the Same-Side Interior Angles Theorem.
c. The sidelines are perpendicular by the Perpendicular Transversal Theorem
d. The sidelines are parallel because they are perpendicular to the same line.
The true statement about the sidelines would be that they are parallel because they are both perpendicular to each of the boldly marked line.
Therefore, since the sidelines are perpendicular to the same set of lines, then the sidelines would be parallel.
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c. 4; no
b. -4; yes
d. 4; yes
Answer:
a. -4; no
Step-by-step explanation:
Suppose we have two vectors, a and b.
a = (1,2)
b = (2,3)
Their inner product is:
a.b = (1,2).(2,3) = 1*2 + 2*3 = 8
The vectors are perpendicular if their inner product is 0.
In this question:
a = (7,2)
b = (0,-2)
So
a.b = (7,2).(0,-2) = 7*0 + 2*(-2) = -4
-4 is different of 0, so they are not perpendicular.
So the corret answer is:
a. -4; no
A fair coin is tossed 10 times. The coin lands heads up all 10 times. What is the probability that it will land heads up on the next toss?
The time-duration "63-months" in years can be expressed as 5.25 years.
To determine the length of 63 months in years, we divide 63 by the number of months in a year, which is 12.
Dividing 63 by 12 yields a quotient of 5 with a remainder of 3.
This means that 63 months is equivalent to 5 years and 3 months.
To express it completely in years, we consider the fraction of the year represented by the remaining 3 months.
Since there are 12 months in a year, 3 months is equivalent to 3/12 which 1/4 of a year = 0.25 year.
Therefore, 63 months is approximately 5.25 years.
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