Answer:
*hugs* i got you
Step-by-step explanation:
thanks for points
Answer:
first angle be 30°
second angle be 70°
third angle be 80°
Step-by-step explanation:
first angle be x
second angle be y
third angle be z
x+y+z=180
given, y+z = 5x; z=5x-y
also, z=y+10
5x-y = y+10
5x= 10+y+y = 10+2y
x= (10+2y)/5
x+y+z=180
(10+2y)/5 + y + y+10 = 180
(10+2y)/5 = 180 -2y -10
(10+2y)/5 = 170-2y
multiply both sides by 5
10+2y = 5(170-2y)
10+2y= 850-10y
2y+10y = 850-10
12y= 840
y= 840/12 = 70°
z=y+10 =70+10= 80°
5x= (10+2y) = 10+2(70) = 10+140= 150
x = 150/5 = 30°
Answer:
a number which produces a specified quantity when multiplied by itself.
Step-by-step explanation:
DE^2 = 1 + 16 = 17.
<span>EF^2 = 16 + 1 = 17. </span>
<span>DF^2 = 9 + 25 = 34. </span>
<span>Since (DE)^2 + (EF)^2 = (DF)^2,
</span><span> angle E is 90 degrees.
</span><span> DF must be the hypotenuse
</span>see attachment below

Given:
The sum of the first three terms of a sequence Is 42.
The fourth term is 24.
To find:
The u₁ and the common difference
Step-by-step explanation:
nth term of a sequence is

where, u₁ is first term and d is common difference.
4th term is 24.

...(i)
Sum of nth term of an AP is
![S_n=\dfrac{n}{2}[2u_1+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2u_1%2B%28n-1%29d%5D)
Sum of first three terms is 42.
![S_3=\dfrac{3}{2}[2u_1+(3-1)d]](https://tex.z-dn.net/?f=S_3%3D%5Cdfrac%7B3%7D%7B2%7D%5B2u_1%2B%283-1%29d%5D)
![42=\dfrac{3}{2}[2u_1+2d]](https://tex.z-dn.net/?f=42%3D%5Cdfrac%7B3%7D%7B2%7D%5B2u_1%2B2d%5D)
Divide both sides by 3.
...(ii)
On subtract (ii) from (i), we get


Put d=5 in equation (ii).
Therefore, the first term is
and common difference is
.