1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zmey [24]
4 years ago
14

Someone please help! I gave this extra points because the question has a picture. I will give thanks and 5 star for any answer.

Mathematics
1 answer:
tiny-mole [99]4 years ago
7 0

Answer:

53°

Step-by-step explanation:

x + (2x + 21) = 180

(Corresponding angles &

Supplementary angles)

3x + 21 = 180

3x = 159

x = 53°

You might be interested in
The scale of the Mao is 3m=6mi map:14 m actual: ?
Drupady [299]
The actual distance would be 28mi
5 0
3 years ago
If the area of a triangle.is 30 square units, what is the height of the triangle if the length of the base of the triangle is 10
Helen [10]
If the area is 30, and the base of the triangle is 10. the way you would find the area is 1/2 base x height. so you would divide 10 by 2 to give you 5. and then ofc 5 x 6 equals 30. but, it’s 10. either way that will give you 30. 10 x 6 = 60, divided by 2 equals 30.
6 0
3 years ago
Mrs. Madison's class recorded how many students had various types of pets. Twice the number of students who own a lizard is less
ss7ja [257]
So twice the number of students who own a lizard is represented by 2l where l is the number who own a lizard. we are given this is less than 10 so 2l<10 we can solve for l by dividing both sides by 2 to get l<5 meaning the number of students who own a lizard is less than 5
8 0
3 years ago
What is the equation of the line of best fit for the following data? Round the
Svet_ta [14]

Answer:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=438-\frac{44^2}{5}=50.8

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=415-\frac{44*42}{5}=45.4

And the slope would be:

m=\frac{45.4}{50.8}=0.8937 \approx 0.894

Now we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{44}{5}=8.8

\bar y= \frac{\sum y_i}{n}=\frac{42}{5}=8.4

And we can find the intercept using this:

b=\bar y -m \bar x=8.4-(0.894*8.8)=0.535

So the line would be given by:

y=0.894 x +0.535

And the best option is:

A. y = 0.894x + 0.535

Step-by-step explanation:

We have the following dataset given

x: 5,6,9,10,14

y: 4,6,9,11,12

We want to find the least-squares line appropriate for this data given by this general expresion:

y = mx +b

Where m is the slope and b the intercept

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i = 44

\sum_{i=1}^n y_i =42

\sum_{i=1}^n x^2_i =438

\sum_{i=1}^n y^2_i =398

\sum_{i=1}^n x_i y_i =415

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=438-\frac{44^2}{5}=50.8

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=415-\frac{44*42}{5}=45.4

And the slope would be:

m=\frac{45.4}{50.8}=0.8937 \approx 0.894

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{44}{5}=8.8

\bar y= \frac{\sum y_i}{n}=\frac{42}{5}=8.4

And we can find the intercept using this:

b=\bar y -m \bar x=8.4-(0.894*8.8)=0.535

So the line would be given by:

y=0.894 x +0.535

And the best option is:

A. y = 0.894x + 0.535

4 0
4 years ago
Esther drank 2/3 of water monday before going jogging . she drank 5/7 liter of water after her jog . how much water did esther d
Kitty [74]
2/3 + 5/7 = 14/21 + 15/21 = 29/21 = 1 8/21
4 0
3 years ago
Other questions:
  • Which expression is equivalent t to 2x+3y-x-(8+1)?
    5·2 answers
  • Y = ax^2+bx+c, solve for a
    5·1 answer
  • Specify three fractions with different denominators that have an LCD of 24
    14·1 answer
  • You run 35 yards and score a touchdown. How many feet is that?
    8·2 answers
  • How do you slove this 3 + x &gt; -9 anybody know
    14·1 answer
  • Find the inverse of square root f(n) = n – 3.
    11·1 answer
  • Need the answer please
    10·1 answer
  • BRAINLIEST ASAP!!!!!!!!!! Please someone help
    7·2 answers
  • Please help!!! I need this and I also don't understand ​​
    15·1 answer
  • What is the Cost Price?<br><br> Cost price: $60 and Loss: 12 1/2%
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!