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
Minchanka [31]
3 years ago
12

Given the diagram of parallelogram LMNO, solve for r.

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
5 0
So here is how we are going to solve for r. In a parallelogram, given angles L and N are equal in measure, as well as angles M and O. Angles L and O are supplementary angles, as well as M and N. So the first thing we are going to do is to solve for t first.
<span>3t-15=2t+10
</span>3t-2t=10+15
t=25
Angle O : 2t + 10
<span>2(25)+10 = 60
</span><span>Adding L and O together gives you 180
so 4r+60=180
4r=120
r=30
</span><span>And 30*4=120
So r = 30
and angle L = 120
</span>Hope this answers your question.
Maslowich3 years ago
3 0
I got 30. If you set M and I equal to each other and solve you get 25. If you substitute 25 for t you get 60. L and I should be supplementary so if you subtract 60 from 180 you get 120. Lastly, since you're solving for r, you need to divided 120 by 4 to get 30.
You might be interested in
What is the solution of y= 4x + 6 when y= 18?
11Alexandr11 [23.1K]

Answer:

18 = 4(3)+6

12 + 6

Step-by-step explanation:

the answer is 18 = 4(3)+6

because y is 18

3 0
3 years ago
Read 2 more answers
The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be 4\,in\,:\,5\,ft and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (r), measured in inches per feet, is equivalent to the following rational number:

r = \frac{4\,in}{5\,ft}

We can convert each length by dividing it by scale factor. That is:

Length

l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }

l' = 20\,ft

Width

w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }

w' = 31.25\,ft

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

8 0
3 years ago
Which equation is equivalent to √x^2+81 = x+10
jeka57 [31]

Keywords:

<em>equation, operations, equivalent, binomial, square root </em>

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2

By definition:(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2

x ^ 2 + 81 = x ^ 2 + 2 (x) (10) + (10) ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x +100

Thus, x ^ 2 + 81 = x ^ 2 + 20x +100 is equivalent to \sqrt {x ^ 2 + 81} = x + 10

Answer:

x ^ 2 + 81 = x ^ 2 + 20x +100

Option D

4 0
3 years ago
Read 2 more answers
(1 point) Divide and simplify your answer.
VashaNatasha [74]

Answer:

18.174x

Step-by-step explanation:

5 0
3 years ago
Write an equation of the line that passes through the points (4,7) and is parallel to and perpendicular to the line y=1/2x-1 ans
emmasim [6.3K]
M = 0.5
y – 7 = 0.5 ( x – 4 )
y = 0.5x + 5
6 0
3 years ago
Other questions:
  • Which expressions are equivalent to 4(y − 3) + 9y
    13·2 answers
  • What’s -1/6, 5/3, -5/6 in order from least to greatest
    11·1 answer
  • The length of a rectangle is 6 cm and its area is (6x+18) Square centimeters what is an expression for the width
    5·1 answer
  • Which equation can be used to find 60 percent of 50?​
    12·2 answers
  • EASY POINTS<br> PLEASE ANSWER<br> :)<br><br> LOTS OF POINTS!!!!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • What is the answer to this question?
    12·1 answer
  • 3 less than a number is 17
    12·1 answer
  • Expand and simplify in its simplest form (x+7)(x-2)
    8·2 answers
  • Brainliest and 18 points <br><br> Simultaneous equation 3x+2y=16, 2x-3y=2​
    14·1 answer
  • Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!