Answer:
90
Step-by-step explanation:
if all the interior angle in triangle sums up it will be 180
so 180 divide by by 3(because its a triangle) is 90
hope this helps
have a nice day <3
This is an arithmetic series with common difference 6
S13 = (13/2)[2*-5 + (13-1)*6)] = 403
Answer:
We have the system of equations:
y=1/3x+5
y=2/3x+5
To solve it graphically, we need to graph both lines and see in which point the lines intersect.
You can see the graph below, and you can see that the lines intersect in the point (0, 5)
Now, we can also solve this analytically.
We can use the fact that for the solution, we need y = y.
Then we can write:
(1/3)*x + 5 = (2/3)*x + 5
First, we can subtract 5 in both equations to get:
(1/3)*x = (2/3)*x
This only has a solution when x = 0.
Replacing x = 0 in one of the equations, we get:
y = (1/3)*0 + 5 = 5
Then the solution is x = 0, and y = 5, as we already could see in the graph.
X²+3x-21=0
1) we solve this square equation:
x=[-3⁺₋√(9+84)] / 2=(-3⁺₋√93)/2
We have two solutions:
x₁=(-3-√93)/2
x₂=(-3+√93)/2
2) we compute the product of the 2 solutions found.
[(-3-√93)/2][(-3+√93)/2] =(-3-√93)(-3+√93) / 4=
=(9-93)/4=-84/4=-21
Answer: the product of the 2 solutions of this equation is -21
Answer:
Length of AB = 6 cm
Length of the segment BC = 14 cm
Step-by-step explanation:
Here, B is a point on a segment AC.
AB : BC = 3:7
Length of the segment AC = 20 cm
Now, let the common ratio between the segment is x.
So, the length of AB = 3 x , and Length of BC = 7 x
Now, AB + BC = AC
⇒ 3x + 7x = 20
or, 10 x = 20
or, x = 2
Hence, the length of AB = 3 x = 3 x 2 = 6 cm
and the length of the segment BC = 7x = 7 x 2 = 14 cm
