Answer:
(3x + 13) + (x - 8) + (x) = 180 --> x = 35
It will be 21/40
probability getting both white marbles
3/8×4/10=12/80
probability getting both black marbles
5/8×6/10=30/80
12/80+30/80=42/80= 21/80
In the parallelogram ABCD, diagonals AC and BD intersect at point E.
According to the definition of parallelogram, opposite sides are equal and parallel to each other. That means, AB = DC
Now as AB and DC are parallel, so according to the property of Alternate Interior Angles, we will get:
∠EAB = ∠ECD and ∠EBA = ∠EDC
Thus , in two triangles ΔABE and ΔDCE, two angles and one side are equal. So, ΔABE and ΔDCE are congruent to each other.
That means, AE = CE and BE = DE
So, AE is congruent to CE and BE is congruent to DE
The solution to given system of equation is (x, y) = (0.8, 2.2)
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
y + x = 3 --------- eqn 1
y = 1.5x + 1 ---------- eqn 2
We have to solve the above system of equations by substitution method
<em><u>Substitute eqn 2 in eqn 1</u></em>
1.5x + 1 + x = 3
Combine the like terms
2.5x + 1 = 3
Move the constants to Right hand side of equation
2.5x = 3 - 1
2.5x = 2
x = 0.8
<em><u>Substitute x = 0.8 in eqn 2</u></em>
y = 1.5(0.8) + 1
y = 1.2 + 1
y = 2.2
Thus the solution to given system of equation is (x, y) = (0.8, 2.2)
Answer:

Step-by-step explanation:
We use the quadratic formula here which says for a quadratic equation
.

Now in our case

so we have:


Which are our solutions.