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
vlabodo [156]
4 years ago
10

if angle 1 and angle 2 form a linear pair. if m<1=5x+9 and m<2=3x+11, find the measure of both angles

Mathematics
1 answer:
Ulleksa [173]4 years ago
8 0

Answer: m\angle 1=109\°\\m\angle 2=71\°

Step-by-step explanation:

It is important to remember the definition of "Linear pair angles".

By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.

Based on this, we know that the angles \angle1 and \angle2 are supplementary, which means that they add up to 180 degrees.

So, knowing that:

m\angle 1=5x+9\\m\angle 2=3x+11

We can write the following expression and solve for "x":

(5x+9)+(3x+11)=180\\\\8x=180-20\\\\x=\frac{160}{8}\\\\x=20

Therefore, substituting, we get that the measures of the angles \angle1 and \angle2 are:

 m\angle 1=5(20)+9=109\°\\\\\\m\angle 2=3(20)+11=71\°

You might be interested in
What is the area of this quadrilateral(Please show a step by step process)
Tresset [83]

Answer:

40ft

Step-by-step explanation:

What you need to know is the formula for the air of a rectangle:

the long side * the short side.

First calculate the area of the rectangle in the middle: 3*8=24ft

Then we are left with two right-angled triangles, one on the left and one on the right. If we juxtapose them, we realize that it forms a rectangle whose large side measures 8 and the small 2 so 2*8=16ft.

Finally, just add the area of the middle rectangle with the area of our rectangle formed by the two triangles on the right and on the left. So 16+24=40ft

3 0
2 years ago
PLEASE HELP! (Image of question is attached)
andreev551 [17]

Answer:

a the answer is a

Step-by-step explanation:

4 0
3 years ago
What is the solution set of {x | x &lt; -5} ∩ {x | x &gt; 5}?
Pavlova-9 [17]

The first part of the set tells us that x is less than -5.

The second part tells us that x is greater than 5.

The intersection sign in the middle tells us to find "common" item in the first part and second part.

<u><em>Is there any number both greater than 5 and less than -5? No!</em></u>

So our solution doesn't exist and is the empty set.


ANSWER: The empty set

8 0
4 years ago
I need help with this ASAP please and thank you and please don't use no links and don't answer then delete my question
Svetlanka [38]

Answer:

so so sorry girl but I do know this

Step-by-step explanation:

If I may what grade are you in

5 0
2 years ago
The average life expectancy in a certain country is 50.2 years. Estimate the​ country's life expectancy in hours by rounding the
Sedaia [141]
The awnser to this question is 60.4 I believe
4 0
3 years ago
Other questions:
  • 7 1/2 x 4=what is the answer in simplicity form
    5·1 answer
  • Variable c is 9 more than variable w. Variable c is also 3 less than variable w. Which pair of equations best models the relatio
    6·1 answer
  • Annabelle needs 7km of yarn each package has 2500 M how many packages does Annabelle need
    11·1 answer
  • Solve the following automotive-services problem. Voltage = 80 v Current = 40 amps Resistance = ?
    15·1 answer
  • True or false.4liters=4000milliliters
    12·1 answer
  • Just trying to get this done to get some sleep, thank you!!
    5·1 answer
  • 01:09:23
    5·1 answer
  • Pls help :( The graph shows the relationship between a puppy’s weight y, in ounces, and time x, in months, as it grows. Which fu
    9·1 answer
  • What are factored forms of the following expressions unit 3
    7·1 answer
  • 13. Find 3 fractions that are equivalent to 2/3. Explain how you found your answers​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!