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AleksandrR [38]
3 years ago
15

Find the variable. m angle BDJ=7y+2 , m angle JDR=2y+7

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

The value of the variable y is 9 given that BDJ=7y+2  and angle JDR=2y+7

From the attached diagram, we can see that the<u> sum of m<BDJ and m<JDR is complementary</u> (i.e. sums up to 90degrees)

Given the following

m<BDJ = 7y + 2

m<JDR = 2y + 7

Summing up to 90

m<BDJ + m<JDR = 90

7y + 2 + 2y + 7 = 90

7y+2y+2+7 = 90

9y + 9 = 90

9y = 90-9

9y = 81

y = 81/9

y = 9

Hence the value of the variable y is 9

Learn more here: brainly.com/question/17247176

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(3,10) and (6,13)Put in slope-intercept form
spayn [35]

ANSWER

y = x + 7

EXPLANATION

We want to use the two points to form a linear equation in slope-intercept form.

That is in the form:

y = mx + c

To do this, we first find the slope by using formula:

m\text{ = }\frac{y_2-y_1}{x_2-x_1}

where (x1, y1) = (3, 10)

(x2, y2) = (6, 13)

So, we have that:

\begin{gathered} m\text{ = }\frac{13\text{ - 10}}{6\text{ - 3}} \\ m\text{ = }\frac{3}{3} \\ m\text{ = 1} \end{gathered}

The slope, m, is 1.

Now, we use the point-slope formula to find the equation. That is:

\begin{gathered} y-y_1=m(x-x_1) \\ \Rightarrow\text{ y - 10 = 1(x - 3)} \\ y\text{ - 10 = x - 3} \\ =>\text{ y = x - 3 + 10} \\ y\text{ = x + 7} \end{gathered}

That is the answer.

4 0
1 year ago
Which data set could be represented by the box plot shown below?
Step2247 [10]

Answer:

  (D)

Step-by-step explanation:

The box plot is a visual representation of the 5-number summary of the data. It shows the extremes, the quartiles and the median.

__

Each data set has 11 elements, sorted into increasing order.

<h3>extremes</h3>

The first and last elements of the data set correspond to the ends of the whiskers, so you are looking for a set that ranges from 3 to 18. (This eliminates choice B.)

<h3>median</h3>

The median will be the middle element, the 6th from either end. The vertical line in the box identifies its value as 10. (This eliminates choice A.)

<h3>quartiles</h3>

The first quartile is the middle element of the bottom half of the data set (what remains after the median and above elements are removed). There are 5 elements in the bottom half, so the first quartile is the 3rd one. It is signified by the left end of the box in the box plot. Its value is 7. (This eliminates choice C.)

Similarly, the third quartile is the 3rd element from the right end of the data set. The value 13 in choice D matches the right end of the box in the box plot.

The box plot represents the data set in Choice D.

8 0
2 years ago
A company pays its employees a fixed base salary and a commission based on sales. The scatter plot below shows the total earning
Monica [59]

I'm assuming the question is

A company pays its employees a fixed base salary and a commission based on sales. The scatter plot shows the total earning of an employee of the company (y) based on sales (x):

Plot the ordered pairs 0, 10 and 100, 20 and 200, 30 and 300, 40 and 400, 50 and 500, 60

Which function best represents the data in the scatter plot? (1 point)

y = 0.1x + 10

y = 0.1x − 10

y = 0.1x + 1

y = 0.2x − 1

So thus your answer would be y = 0.1x + 10

5 0
3 years ago
Solve the linear system using substitution
levacccp [35]
Hello there!

3x - y = 3
-x + y = 3

We need to solve 3x - y = 3 for y

Let start by adding -3x to both sides

3x - y = 3

3x - 3x - y = 3 - 3x

-y = 3 - 3x
We cannot leave the variable with a negative sign. We must multiply both sides by -1

-y * -1= (3 - 3x)-1

y = 3x - 3

Substitute 3x -3 for y in -x+y=3

-x + y = 3

-x + 3x - 3 = 3

2x - 3 = 3

2x = 3 + 3

2x = 6

x = 6/2

x = 3

Now substitute 3 for x in y=3x -3

y = 3x - 3

y = 3(3) - 3

y= 9 - 3

y= 6

Thus,

The answer is x=3 and y=6

It is always my pleasure to help students like you :)

As always, I am here to help!


7 0
4 years ago
No one helping me ahaahshshahahhaAHHHHHHHHHHHH
rodikova [14]

Answer:

its the blue triangle...not 100% the question tho

Step-by-step explanation:

4 0
2 years ago
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