Hal, Zelda, Maya, and Jason each recorded the height and age of five classmates. They used the data to create the tables below.
1 answer:
A table (relation) may or may not represent a function
The table that represents a function is Hal's table
<h3><u>Tables and relations</u></h3>For a table to represent a function, then the input values must point to exactly one output value.
This means that:
Each height entry must correspond to exactly one age entry
From the given tables (see attachment), we can conclude that
Hal's table represents a function
This is so because, the age entries on this table has one corresponding one height entry
Read more about relations and functions at:
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Answer:
= 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides ,
, and
intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to , we have for ΔBGD and ΔCGD;
≅
by reflexive property
∠GDB = ∠GDC = 90° given that is the perpendicular bisector of
Similarly, ≅
, also given that
is the perpendicular bisector of
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
≅
by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
=
= 9 by definition of congruency
∴ = 9.
Answer:
Step-by-step explanation:
Observe the figure attached.
You can identify that the triangle formed is Isosceles, because it has two equal sides.
Notice that you can divide it into two equal right triangles. Now the angle 20° is divided by 2 and you get two equal angles that measure 10°.
To find "x", apply the Trigonometric Identity :
Then, the distance between the lighthouses can be represented with:
Substituting the value of "x" into this equation, you get:
