Answer:
5.498 - C
Step-by-step explanation:
Length of an arc = tetha/360 × 2 × pi × r
Converting 7pi/4 to tetha
(7 × 180) / 4 = 315°, since pi = 180°
Plugging values to the formula:
315/360 × 2 × 3.142 × 1 = 5.498units
Answer:
- height
- width
- id-k
- width
- base
- square
Step-by-step explanation:
Answer:
Given: In triangle ABC and triangle DBE where DE is parallel to AC.
In ΔABC and ΔDBE
[Given]
As we know, a line that cuts across two or more parallel lines. In the given figure, the line AB is a transversal.
Line segment AB is transversal that intersects two parallel lines. [Conclusion from statement 1.]
Corresponding angles theorem: two parallel lines are cut by a transversal, then the corresponding angles are congruent.
then;
and
Reflexive property of equality states that if angles in geometric figures can be congruent to themselves.
by Reflexive property of equality:
By AAA (Angle Angle Angle) similarity postulates states that all three pairs of corresponding angles are the same then, the triangles are similar
therefore, by AAA similarity postulates theorem
Similar triangles are triangles with equal corresponding angles and proportionate side.
then, we have;
[By definition of similar triangles]
therefore, the missing statement and the reasons are
Statement Reason
3. Corresponding angles theorem
and
5. AAA similarity postulates
6. BD over BA Definition of similar triangle
A. 2, 200, 2000
This is multiplying the number by 10 each time. In other words, just adding an extra zero to the end of it.
b. 340, 0.034
This one is moving the decimal place forward two places. 10^-2, so removing two zeros from the end of it until eventually you reach decimals and have to move the decimal forward twice, which is essentially what you're doing here.
c. 85700, 857, 0.857
In this one, you remove one zero from the end. You move the decimal forward once when you reach the decimals. This would be 10^-1
d. 444000, 4440000, 44400000
In this one, you multiply each one by 10. Add on a zero to each one.
e. 0.095, 9500000, 950000000
You multiply this one by 10^2, so the number increases.
Answer:
The answer to your question is: V = 12 + 5n
Step-by-step explanation:
Data
Video games right now = 12
She purchases 5 video games each month
Equation = ?
# of video games in n month = V
Process
- Consider the initial amount of video games
V = 12
- Now, consider the number of video games the buys each month and the months
5n
- Finally, join both terms
V = 12 + 5n