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Charra [1.4K]
3 years ago
15

7. Find the measure of KLM and M​

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer:

<em>m∠KLM = 64° ; m∠M = 26°</em>

Step-by-step explanation:

(20x + 4)° = (6x + 4)° + (8x + 18)°

20x + 4 = 14x + 22

6x = 18

x = 3

<em>m∠KLM</em> = (20×3 + 4)° = <em>64°</em>

<em>m∠M</em> = 90° - 64° = <em>26°</em>

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il63 [147K]

Hey there!

This equation we're given is a function. This means that we will get a certain output for each input. If your input is x, the output, or y, will be 0.3 of x plus 11.8. It appears that the independent variable (our x) is the age in the table and the height of the jump is the dependent variable (our y). We can plug some of the data into our function and see if it is true! We will use the first two columns of the table to test this out.

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                                                   Column 1

Age: 22

Height of Jump in Inches: 15.4

15.4=0.3(22)+11.8

15.4=6.6+11.8

15.4=18.4

This is equation is false, so this data point does not match the given function. We can check with one more column just to make sure, but just given this we immediately know that the given equation is not a good fit for the data.

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                                                   Column 2

Age: 24

Height of Jump in Inches: 17

17= 0.3(24)+11.8

17=7.2+11.8

17=19

This is equation is also false.

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Therefore, this equation is not a good fit for the data given.

I hope that this helps! Have a wonderful day!

3 0
3 years ago
Simplify 79.5-2.58 x (3.63-1.63) to the third power
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Answer:

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Step-by-satep explanation:

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3 years ago
What is the domain and range of the graph below in interval notation? If union is needed, use Capital U. If infinity is needed u
elena55 [62]

Answer:

DOMAIN: (-\infty,1]\cup(2,\infty)

RANGE: (-\infty,\infty)

Step-by-step explanation:

The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.

DOMAIN:

From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.

However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.

So, our domain is all values greater than or less than 1, and all values greater than 2.

In interval notation, this is:

(-\infty,1]\cup(2,\infty)

We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.

RANGE:

Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.

Our range is all real numbers.

In interval notation, this is:

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3 years ago
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Answer:

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