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pav-90 [236]
3 years ago
6

Need help to solve please

Mathematics
1 answer:
attashe74 [19]3 years ago
3 0

Answer:

\displaystyle m\angle RTU=73^\circ

Step-by-step explanation:

<u>Interior Angle of a Circle</u>

An interior angle of a circle is formed at the intersection of two lines that intersect inside a circle.

Lines AC and BD of the figure attached below intersect forming arcs p and q. The measure of the interior angle x  is:

\displaystyle x=\frac{p+q}{2}

The question includes the drawing of a circle with lines US and RV intersecting at point T. The measure of the interior angle RTU is:

\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}

\displaystyle m\angle RTU=\frac{146^\circ}{2}

\boxed{\displaystyle m\angle RTU=73^\circ}

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Question: State whether each table of values represents a function​
Mashcka [7]

Answer:

Please check the explanation.

Step-by-step explanation:

  • As we know that the values in the table represent a function​ only if there there is only 1 input for every output.

Given the table 1

x              y

-12           2

-10           10

0              -2

5              -6

8               -11

15              -15

From the table, it is clear that for each input there exists a unique output.

i.e.

According to the given table,

y = 2 at x=-12

y = 10 at x=-1 0

y = -1 at x=0

y = -11 at x=8

y = -15 at x=15

From the table, it is clear that for each input x, it has a unique output y.

Hence, table 1 is a function.

Given the table 2

x              y

9            -18

-20           0

-6              1

-17              16

9                17

11              19

This table does not produce a function, because the input x=9 produces two outputs.

i.e.

at x = 9, the y = -18

at x = 9, the y = 17

Therefore, the table 2 does not represent a function.

3 0
3 years ago
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