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tiny-mole [99]
3 years ago
13

Find the measure of angle K.

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0
Every triangle have three angles that add up to 180°. With this information, we can find out the missing angle.

The sum of three angles should add up to 180°. 

148° + 11° + K = 180°

Where k is the missing angle.

Solve for K.

Combine like terms.

148° + 11° + K = 180°
159° + K = 180°

Subtract both sides by 159°.

159° + K = 180°
159° - 159° + K = 180° - 159°
K = 21°

So, the missing length is 21°.
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State the order and type of each transformation of the graph of the function ƒ(x) = 4(5x)3 – 6 as compared to the graph of the b
MaRussiya [10]

Answer:

For the function, f(x) = 4(5x^3) -6, stretches the graph by making the outputs matched to the inputs much larger than the parent function f(x) = x^3. It stretches further by being multiplied by 4 after 5^3=125. Lastly the graph is shifted down by 6 units.

Step-by-step explanation:

When functions are transformed there are a few simple rules:

  • Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
  • Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
  • Multiplying the function by a number less than 1 compresses it towards the x-axis.
  • Multiplying the function by a number greater than 1 stretches it away from the x-axis.
  • Multiplying by a negative or changing the leading coefficient's sign will flip the graph.

For the function, f(x) = 4(5x^3) -6, stretches the graph by making the outputs matched to the inputs much larger than the parent function f(x) = x^3. It stretches further by being multiplied by 4 after 5^3=125. Lastly the graph is shifted down by 6 units.

3 0
4 years ago
Someone please help me find the y = mx + b, I can’t figure it out
alexira [117]

Answer:

Step-by-step explanation:

There isn't really a correct answer, because reading the data associated the line will have a margin of error.  What I read it as and what you read it as would be slightly different.  With that said I will try my best.  

I need at least two points on the line that seem accurate.

  I like one point at Latitude 40 and temperature 51 call it 50            (40, 50)

  Another point I like is  Latitude 15 and temperature 81 or 80           (15, 80)

to find the line we use the slope and one point on the line

with two points you can calcuate the slope  m = Δy / Δx

            m = (50 - 80) / (40 - 15)

                = -30 / 25

                = - 1.2

now find the y intercept    y when x = 0 (the x -axis)

            y - y1 = m ( x - x1 )          point 1  (40, 50)    slope of -1.2

            y - 50 = -1.2 ( 0 - 40)

                  y   = -1.2(-40)  + 50           i combined a few steps here to solve for y

                  y  =  98

    so from your data and line I get an answer of

             y = -1.2x + 98

to double check my answer I used a graphing calculator to do all of the work!

     the graphing calculator (attached image) using linear regression got an answer of

            y = -0.983667x  + 103.9

4 0
3 years ago
1. Which measurement represents the height of the parallelogram? (1 point)<br> 6 m<br> 4.2 m<br> 3 m
Brut [27]

Answer:

is numper

Step-by-step explanation:

5 0
3 years ago
The difference between the greatest and the smallest 5-digit numbers formed by using each of the digits 2, 0, 4 and 6 at least o
inn [45]

Answer:

46374

Step-by-step explanation:

The smallest 5-digit number is 20046

While the greatest is 66420

So 66420-20046=46374

7 0
3 years ago
jeremy has 31 photos in his photo album he also has 12 photos on the wall. how many more photos does he have in his album than o
Helen [10]
The answer of your question is 19
6 0
3 years ago
Read 2 more answers
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