The equation of a circle is (x-h)²+(y-k)²=r², with h being the x value in the center, k being the y value, and r being the radius. x and y can stay variables, so we can plug numbers in to get (x-0)²+(y-3)²=5²=25=x²+(y-3)²
Answer:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
In the right triangle ABD
In the right triangle BCD
remember that
m< BAD=m<CBD
therefore
equate the equations
Answer:
y = 
x - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - 3 ← is in slope- intercept form
with slope m = -
Parallel lines have equal slopes , then
y = - x + c ← is the partial equation of line d
to find c substitute (- 2, - 2 ) into the partial equation
- 2 = 
+ c ⇒ c = - 2 - = -
y = - x - ← equation of line d
Answer:
i’m pretty sure it’s because they make 180°
Step-by-step explanation:
Triangle ABC is an isosceles triangle.
Solution:
Given data:
∠ABC = 70° and ∠ACD = 55°
<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>
m∠BAC = m∠ACD
m∠BAC = 55°
<em>Sum of the angles in a straight line add up to 180°.</em>
m∠ACD + m∠ACB + m∠ABC = 180°
55° + m∠ACB + 70° = 180°
m∠ACB + 125° = 180°
Subtract 125° from both sides, we get
m∠ACB = 55°
In triangle ABC,
∠BAC = 55° and ∠ACB = 55°
∠BAC = ∠ACB
Two angles in the triangle are equal.
Therefor triangle ABC is an isosceles triangle.
