Answer:
Options 1,2,6,7 are correct statements.
Step-by-step explanation:
In the given figure lines m and n are cut by a transversal t.
Among all the statements the options that are correct are :
1)<1 and <5 are corresponding angles.(The angles in matching corners are called corresponding angles)
2)<3 and <6 are alternate interior angles .(The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles)
6)<4 and <6 are same side consecutive angles.(consecutive angles lie on the same side of the transversal)
7)<1 and <8 are alternate exterior angles.( These angles lie on the exterior side of the lines and on opposite side of the transversal)
Answer: x= 132
Step-by-step explanation:
The required equation of the parabola is (y-5)² = 20(x+2)
<h3>Equation of a parabola</h3>
The standard equation of a parabola is expressed as;
(y-k)² = 4p(x-h)
where;
vertex = (h, k)
focus = (p+k, k)
directrix x = -p + h
Note that the directrix given will determine the type of the equation of a parabola
Given the following parameters
focus = (-2, 5) = (h, k)
x = -p + h
3 = p -2
p = 5
Substitute
(y-k)² = 4p(x-h)
(y-5)² = 4(5)(x-(-2))
(y-5)² = 20(x+2)
Hence the required equation of the parabola is (y-5)² = 20(x+2)
Learn more on equation of parabola here; brainly.com/question/4061870
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Answer:
Step-by-step explanation:
a+(-a)
=a-a
=0
