Answer:
In ∆ABD and ∆ACD
<BAD =<CAD ( each are half of <A )
<D=<D ( each equal to 90°)
AD = AD ( common)
So ∆ ABD is congruent to ∆ ACD.
Then AB =AC (by C.P.C.T)
Hence,∆ABC is an iso - sceles triangle.
Answer:
Radius = 5
center is (19,-1)

Step-by-step explanation:
Two points in the plane, (19,4) and (19,−6), represent the endpoints of the diameter of a circle.
Distance between the points is calculated using formula


diameter = 10
radius = diameter divide by 2
Radius = 5
midpoint is the center of the circle


(19,-1)
Equation of the circle

h,k is the center and r is the radius
h=19 and k=-1 , r=5

Answer:
x-5=-3
Step-by-step explanation:
|x-5|+2=5
|x-5|=5-2
|x-5|=3
x-5=±3
so x-5=-3 is a correct step.
Answer:
64
Step-by-step explanation:
2(7-3)^4 divided by 8
2(4)^4 divided by 8
2(256) divided by 8
512 divided by 8
64