Answer:
x = 45
Step-by-step explanation:
180 = (2x + 45) + x
135 = 2x + x
135/3 = 3x/3
45 = x
Hey!
To solve this equation, we'd first have to apply the distributing rule to this equation.
<em>Original Equation :</em>

<em>New Equation {Changed by Applying the Distribution Rule} :</em>

· 3a · 2 +

And now we simplify.
<em>Old Equation :</em>

· 3a · 2 +

<em>New Equation {Old Equation Simplified} :</em>

- 12a + 4
<em>So, the equation

simplified is</em>
- 12a + 4.Hope this helps!
- Lindsey Frazier ♥
Answer:
quadrilateral,parallelogram
Step-by-step explanation:
A quadrilateral is a four-sided polygon.
A parallelogram is a quadrilateral with two sets of parallel sides, much like a rectangle, but with no right angles.
Answer:
(p, q) = (8, 82)
Step-by-step explanation:
When a circle is centered at the origin, the radius to point (a, b) will have slope m = b/a. The tangent is perpendicular to the radius, so the tangent at point (a, b) will have slope -a/b. In point-slope form, the equation of the tangent line will be ...
y -k = m(x -h) . . . . . point-slope equation of line with slope m through (h, k)
y -b = (-a/b)(x -a)
Rearranging this to standard form, we have ...
b(y -b) = -a(x -a)
by -b² = -ax +a²
ax +by = a² +b²
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For (a, b) = (5, 4), the standard form equation of the tangent can be written ...
5x +4y = 5² +4² = 41
Your given equation has an x-coefficient that is twice the value shown in this equation, so we need to multiply this equation by 2:
2(5x +4y) = 2(41)
10x +8y = 82
Comparing to 10x +py = q, we see that ...
p = 8
q = 82