Answer:
c. 40.
Step-by-step explanation:
Since the small and large triangles are similar we have the equation:
45 / 90 = 6x + 4 / 4x + 56
1 /2 = 6x + 4 / 4x + 56
2(6x + 4) = 4x + 56
12x + 8 = 4x + 56
8x = 48
x = 6
So the length of the mid segment = 6(6) + 4 = 40.
Answer:
the anwser is A
Step-by-step explanation:
- One-fourth of the guests brought a dessert.
- The rest of the guests brought chips.
How many guests brought chips?
Answer: The answer would be 10 guests brought chips
Step-by-step explanation:
Given the arithmetic sequence
3, 5, 7, 9, ..., 21
The first term a = 3 & a common difference d = 5 - 3 = 7 - 5 = ... = 2
If there are n number of terms in the above A.P. then last term l = 21 will be the nth term given as:
l = a + (n - 1)d
21 = 3 +(n − 1)2
n = 10
Hence the sum of given arithmetic progression (A. P.) up to 10 terms is given general formula.
Sn = n/2(a + l)
S10 = 10/2(3 + 21)
= 120