Answer:
The value of a=6[/tex]
Step-by-step explanation:
<u>step 1:- </u>
<u>col linearity of three points :- </u>
We know that slopes of two parallel lines are equal.If two lines having the same slope pass through a common point ,then two lines will coincide . Hence ,If A,B,C are three points in the X Y- plane, then they will lie on a line,
that is three points are col linear if and only if Slope of AB= slope of BC
<u>step 2:-</u>
Since the given three points are col-linear, we have
Slope of AB= slope of BC
given points are A(2,-2) ,B(-6,2) and C(a,-4)
<u>Step 3 :-</u>
Slope of AB= slope of BC
See explanations on angles in an isosceles triangle
Step-by-step explanation:
5. ∠H=∠J⇒True, base angles of an isosceles triangle are equal
6. HK=KJ ⇒Trues, length of a line segments with same midpoint are equal
7.∠HKI=∠JKI ⇒True, both angles=90°
8.ΔHIK≅ΔJIH⇒False, the triangles are not similar,ΔHKI≅ΔJKI⇒True,the triangles are similar
9.IK is an altitude⇒True, an altitude of a triangle is a line segment drawn through a vertex I and perpendicular to a line containing the base HJ
10. IK is a median⇒True, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side hence bisecting that side.
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Isosceles triangle : brainly.com/question/9109638
Keyword : Angles, isosceles triangle
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Answer:
P(1 |F) = 10/17
Step-by-step explanation:
Let events
1 = restaurant 1
2 = restaurant 2
F = full-time worker chosen
P = part-time worken chosen
P(1 and F) = 1/2 * 10/16 = 5/16
P(2 and F) = 1/2 * 7/16 = 7/32
P( (1 or 2) and F ) = P(F) = 5/16+7/32 = 17/32
P(1 | F) Probability of choosing restaurant 1 given a full-time was chosen
= P(1 and F) / P(F)
= 5/16 / (17/32)
= 5/16 * 32/17
= 10 / 17
