Answer:
It should be C: segment B prime D prime will be parallel to segment BD and will be shorter than segment BD.
Step-by-step explanation:
Answer:
624
Step-by-step explanation:
The sequence is 49, 47, 45,...., 7, 5, 3. This is an arithmetic sequence, because the difference between terms is the same.
The sum of the first n terms of an arithmetic sequence is:
S = n/2 (a₁ + an)
where a₁ is the first term and an is the nth term.
Here, we know that a₁ = 49 and an = 3. But we need to find what n is. To do that, we use definition of an arithmetic sequence:
an = a₁ + (n-1) d
where d is the common difference (in this case, -2)
3 = 49 + (n-1) (-2)
2(n-1) = 46
n - 1 = 23
n = 24
So there are 24 terms in the sequence.
The sum is:
S = 24/2 (49 + 3)
S = 12 (52)
S = 624
There are 624 bricks in the wall.
Answer:
The x-intercept of the line will be at (32,0)
Step-by-step explanation:
The equation of a straight line passing through the two known points and is given by
Therefore, the equation of the straight line passing through the points (-12,14) and (-2,21) will be
⇒ 10(y - 14) = 7(x + 12)
⇒ 7x - 10y + 224 = 0 .......... (1)
Now, putting y = 0, we will get the x-intercept as 7x = - 224
⇒ x = - 32
Therefore, the x-intercept of the line will be at (- 32,0) (Answer)
At the end Rosie had 4 cashews and Colin had 40.
Rosie. Colin
4. 40
12. 45
20. 50
28. 55
36. 60
44. 65
52. 70
60. 75
68. 80
76. 85
84. 90
92. 95
100. 100
Each child had 100 cashews at first.