Answer:
m∠C=30°
Step-by-step explanation:
we know that
<u>Vertical Angles</u> are the angles opposite each other when two lines cross. They are always equal
so
m∠C=m∠D
substitute the given values

Solve for x

<em>Find the measure of angle C</em>
m∠C=(x+5)°
substitute the value of x
m∠C=(25+5)=30°
Answer:

Step-by-step explanation:
<u><em>The correct question is</em></u>
what is the equation for a line passing through (-2,3) and perpendicular to y= -1/2<em>x</em>+1 ?
Remember
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)
The slope of the given line is m=-1/2
so
the opposite reciprocal is m=2
<em>Find the equation of the line in point slope form</em>

we have

substitute

<em>Convert to slope intercept form</em>

isolate the variable y



Answer:
5
Step-by-step explanation:
When it says varies directly, it means that y and x are going to be on opposite sides of the equals sign and that there is a constant, k,
y=kx
Plug in (5,100)
100=k(5)
K=20
Answer:
{3-i, 3+ i}
Step-by-step explanation:
hello : the equation is : x²-6x+10 =0
because : (3+i)²-6(3+i)+10 = 9+6i+i²-18-6i+10 =9+6i-1-18-6i+10 =0...right
same method for 3-i... (all quadratic equation have two conjugate solution)