Answer
By using the exterior angle property
The measure of exterior angle is equal to the sum of two opposite interior angles.
In ∠QSR is exterior angle.
∠SPQ and ∠SQP are the opposite interior angle of the exterior angle ∠QSR .
Thus
∠QSR = ∠SPQ + ∠SQP
As given in the diagram
∠QSR = 2x , ∠SQP = x
Put in the above
2x = x + ∠SQP
∠SQP = 2x - x
∠SQP = x
Thus
∠SPQ = ∠SQP = x
By using the property
if two angles are equal in a triangle than their opposite sides are also equal .
Thus
PS = SQ
Two sides of triangle are equal .
therefore Δ PQS is a isosceles triangle .
It is 2 in because 2 times 2 times 2 is 8
Answer:
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.
Step-by-step explanation:
It is the last option. The perpendicular bisector theorem states that if a point lies on the bisector of a segment it is equidistant from the endpoints.
Meaning
If a perpendicular bisector is a line of the side of the triangle , it bisects the sides forming two right angles .
The first three choices are incorrect because
1) the figure shows a triangle bisected into two triangles and option 1 tells about 1 isosceles triangle.
2) The base angles of any triangle can be different or same .
3) the three perpendicular bisectors meet at a point called the circumeter. We have 1 perpendicual bisector which is dividing the triangle into two equal triangles.
Step-by-step explanation:
5x^2+2x=1
5x^2+2x-1=0
x=-b+/-√b^2-4ac÷2a
x=-2+/-√-2^2-(4×5×-1)÷2×5
x=-2+/+√4--20÷10
x=-2+/-√24÷10
x=-2+√24÷10 or -2-√24÷10
x=-2+4.9÷10 or -2-4.9÷10
x=2.9÷10 or -6.9÷10
x=0.29 or -0.69
Answer:
<7
Step-by-step explanation:
