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san4es73 [151]
3 years ago
6

20. Olivia translated triangle DEF 4 units vertically to form triangle GHJ.

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0

Answer:

Step-by-step explanation:

m∠E = m∠H

( 3x - 20 )° = ( x + 15 )°

3x - 20 = x + 15

3x - x = 15 + 20

2x = 35

x = 17.5

<em>m∠H</em> = 3(17.5) - 20 = <em>32.5 </em>°

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3. NASA launched the Voyager spacecraft with a mission to observe Jupiter and Saturn. In 1990,
makkiz [27]

The linear function that calculates the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

y = 3.3x + 30.6.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we have that the distance increases 33 AU each 10 years, hence the slope is given by:

m = 33/10 = 3.3.

Hence:

y = 3.3x + b.

When x = 28, y = 123, hence we use it to find b as follows:

123 = 3.3(28) + b

b = 30.6.

Hence equation to calculate the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:

y = 3.3x + 30.6.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0
2 years ago
On Friday, Beth sold 2 pitchers of lemonade from her lemonade stand. On Saturday, she sold 2 1/2 times as much lemonade as on Fr
Blababa [14]

Answer:

She sold 5 pitchers of lemonade.

Step-by-step explanation:

She sold 2 on Friday and she sold 2 1/2 times that on Saturday so we have to do 2 x 2 1/2 in other words 2 x 2.5 which gives you 5.

:33333

5 0
2 years ago
Davian is traveling at a constant speed of 85 kilometres per hour. If he is half way through his 510 kilometre trip, how much lo
inna [77]
E.5 hours
All you have to do is subtract 85 from 510 till you have 0
7 0
3 years ago
Read 2 more answers
State whether set of ordered pairs represent a function
antoniya [11.8K]

<u>Answer:</u>

No, the given set of pairs does not represent a function

<u>Step-by-step explanation:</u>

For a set of values to be a function, each input must have one and only one output value

Now, for the given set, we can note that:

The input -13 has two output values; 4 and 9

<u>Therefore</u>, this set is not a function

Hope this helps :)

3 0
3 years ago
Solve |x|= 10 <br> please
AlladinOne [14]

Answer:

x=10, x= -10

Step-by-step explanation:

basically all absolute value does is make the end result of everything inside of it positive. So 10 and -10 both would be equal to 10 when you use absolute value on them

8 0
3 years ago
Read 2 more answers
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