Answer:
Step-by-step explanation:
(-8,1) is ⊥ to y=2x-17
from y=mx+c
comparing with
y=2x-17
m₁₌2
for perpendicularity m₂=-1/m₁
m₂₌-1/2
equation of a line with one point y-y₁/x-x₁=m
(-8,1) are x₁ and y₁ respectively
y-1/x-(-8)=-1/2
y-1/x+8=-1/2
cross multiply
2(y-1)=-1(x+8)
2y-2=-x-8
2y=-x-8+2
2y=-x-6
divide both side by 2
y=-1/2x-3
Answer:
108
Step-by-step explanation:
36 inches in a yard
Answer:
B) Subtract 4 from both sides
Step-by-step explanation:
You do this so you can get x alone, which then shows you what the answer is
x=4
1. Quadrilateral ABCD is inscribed in circle O
A quadrilateral is a four sided figure, in this case ABCD is a cyclic quadrilateral such that all its vertices touches the circumference of the circle.
A cyclic quadrilateral is a four sided figure with all its vertices touching the circumference of a circle.
2. mBCD = 2 (m∠A) = Inscribed Angle Theorem
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords.
Such that Inscribed angle = 1/2 Intercepted Arc
In this case the inscribed angle is m∠A and the intercepted arc is MBCD
Therefore; m∠A = 1/2 mBCD
4. The sum of arcs that make up a circle is 360
Therefore; mBCD + mDAB = 360°
The circles is made up of arc BCD and arc DAB, therefore the sum angle of the arcs is equivalent to 360°
5. 2(m∠A + 2(m∠C) = 360; this is substitution property
From step 4 we stated that mBCD +mDAB = 360
but from the inscribed angle theorem;
mBCD= 2 (m∠A) and mDAB = 2(m∠C)
Therefore; substituting in the equation in step 4 we get;
2(m∠A) + 2(m∠C) = 360
