Hello!
Angles 3 and 1 are vertical angles, and angles 2 and 4 are vertical angles. Vertical angles are congruent by definition, so angle 3 is congruent to angle 1, and angle 2 is congruent to angle 4.
The adjacent angles are supplementary (they add to equal 180 degrees) so you can set up an equation to solve for x.
180 = 2x + x
180 = 3x
60 = x
x = 60
To find the measure if each angle, plug in x as needed.
Angle 4 = x
Angle 4 = 60 degrees
Angle 2 = angle 4
Angle 2 = 60 degrees
Angle 3 = 2x
Angle 3 = 2(60)
Angle 3 = 120
Angle 1 = angle 3
Angle 1 = 120
I hope this helps you.
4/17=x/100 》400\17=x 》x=23.5
<span>Discriminant is 28 (c)
First get the equation into the form: Ax^2 + Bx + C = 0 (the quadratic equation)..
By subtracting 10x both sides (to get it on the other side)..
9x^2 + 2 = 10x
9x^2 - 10x + 2 = 10x - 10x
9x^2 - 10x + 2 = 0
Now the discriminant is: b^2 - 4ac
The quadratic equation is Ax^2 + Bx + C = 0
Here, A = 9, B = -10 and C = 2
(-10)^2 - 4 (9)(2)
= 100 - 4 (18)
= 100 - 72
= 28</span>
Choice a:
The order pair given is (<span>1, 3)
y-4x = 3-4(1) = -1
-1 is greater than -6
Therefore, this choice is wrong
Choice b:
</span>The order pair given is (-2, -14)
y-4x = -14-4(-2) = -6
-6 is equal -6
Therefore, this choice is correct
Choice c:
The order pair given is (-1, -9)
y-4x = -9-4(-1) = -5
-5 is greater than -6
Therefore, this choice is wrong
Choice d:
The order pair given is (3, 5)
y-4x = 5-4(3) = -7
-7 is less than -6
Therefore, this choice is correct
Choice e:
The order pair given is (0, -5)
y-4x = -5-4(0) = -5
-5 is greater than -6
Therefore, this choice is wrong
Answer: <em>x=57</em>
Step-by-step explanation:
<em>Let's take our equation</em>
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