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Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure
Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle.
What is true about triangle XYZ? Select three options.
What is always true about the angles of an isosceles triangle?
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Answers:
options a, b, c and e are correct
explanation:
to get the correct choice(s), we will simply compute the given equation for each of the given values and check whether the given order pair satisfies the equation or not.
option a:
for the order pair (-3,-2):
y < 0.5 x²
-2 < 0.5(-3)²
-2 < 4.5
the equation is > this option is correct
option b:
for the order pair (-2,1):
y < 0.5 x²
1 < 0.5(-2)²
1 < 2
the equation is satisfied > this option is correct
option c:
for the order pair (-1,-2):
y < 0.5 x²
-2 < 0.5(-1)²
-2 < 0.5
the equation is satisfied > this option is correct
option d:
for the order pair (-1,2):
y < 0.5 x²
2 < 0.5(-1)²
2 < 0.5
the equation is not satisfied > this option is incorrect
option e:
for the order pair (1,-2):
y < 0.5 x²
-2 < 0.5 (1)²
-2 < 0.5
the equation is satisfied > this option is correct
option f:
for the order pair (1,2):
y < 0.5 x²
2 < 0.5 (1)²
2 < 0.5
the equation is not satisfied > this option is incorrect
hope this : )