Answer:
D)
Step-by-step explanation:
Since we see the whole angle is 90° and it's split into two smaller angles, 7x° and 11x°, then we can conclude that 7x°+11x°=90°
*And x=5
Answer:

Step-by-step explanation:
Represent the friends with A, B and C



Required
Order from least to highest
First, we convert the given parameters to decimal












So, we have:

Order from least to greatest

Replace them with the original values

Hence, the correct order is:

Answer:

Step-by-step explanation:
Given that,
In an AP, the 6th term is 39 i.e.

In the same AP, the 19th term is 7.8 i.e.

Subtract equation (1) from (2).
7.8 - 39 = a+18d - (a+5d)
-31.2 = a +18d-a-5d
-31.2 = 13d
d = -2.4
Put the value of d in equation (!).
39 = a+5(-2.4)
39 = a- 12
a = 39+12
a = 51
The sum of n terms of an AP is given by :
![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Put n = 25 and respected values,
![S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555](https://tex.z-dn.net/?f=S_%7B25%7D%3D%5Cdfrac%7B25%7D%7B2%7D%5B2%2851%29%2B24%28-2.4%29%5D%5C%5C%5C%5C%3D555)
Hence, the sum of first 25 terms of the AP is equal to 555.
Answer:
A=45 square inches
Step-by-step explanation:
First find the height using Trig
Tan(45)=x/6
x=6tan(45)
x=6
Then area of a parallellogram is base x height so
A=7.5 x 6
A=45 square inches