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Andrew [12]
3 years ago
7

In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all i

ts vertices. Where should Jaden plant the geranium?
A) in the center of the inscribed circle of the triangle

B) in the center of the circumscribed circle of the triangle

C) at the point of intersection of the angle bisectors of the triangle

D) at the point of intersection of an angle bisector and a perpendicular bisector of the triangle
Mathematics
1 answer:
Viktor [21]3 years ago
4 0
C
The construction described creates the incenter of the circle and this point is equidistant from all vertices of a triangle.
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In triangle ABC, line A.B.=CB Angle ABC equals 4X -3, and angle CAB equals X -3, what is angle ACB
Soloha48 [4]

Answer:

∠ACB = 28.5

Step-by-step explanation:

In triangle ABC,

angle CAB = x-3

angle ABC = 4X-3

It is also given that AB=CB

We know that if two sides of any triangle are equal then corresponding sides must also be equal.

Hence

angle ACB = angle CAB

angle ACB = x-3    {Given that angle CAB = x-3 }

We know that sum of all three angles of a triangle is 180 degree so let's add given angles

angle ACB + angle CAB + angle ABC = 180

(x-3) + (x-3) + (4x-3) = 180

x-3 + x-3 + 4x-3 = 180

6x-9 = 180

6x = 180+9

6x = 189

x = 189/9

x= 31.5

Now plug value of x into

angle ACB = x-3 = 31.5-3 = 28.5

Hence final answer is

∠ACB = 28.5


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