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
kari74 [83]
3 years ago
11

Find the value of x that makes m ∥ n

Mathematics
2 answers:
AURORKA [14]3 years ago
5 0
Those two angles are alternate interior angles, so they must be congruent.

3x = 2x + 20

x = 20
Alex73 [517]3 years ago
4 0

Answer:

The value of x that makes m || n is x = 20

Step-by-step explanation:

Given a line that is intersected by another two lines (for example line ''m'' and line ''n'' like in the exercise) one of the conditions that makes m || n is that the alternate interior angles must be congruent. Understanding that congruent means the same.

In the exercise, one pair of alternate interior angles are (2x+20)° and 3x°.

We need this two angles to be congruent ⇒ 3x=2x+20

Solving this for ''x'' :

3x=2x+20\\3x-2x=20\\x=20

The value of x that makes 3x° congruent to 2x+20° (that makes the alternate interior angles congruents) is x = 20

You might be interested in
Suzanne bought 50 apples at the orchard she bought four times as many red apples screen. How many more red apples and green appl
RSB [31]
50 x 4 = 200

200 -50 = 150

Suzanne bought 150 more red apples
3 0
3 years ago
Determine if the two triangles are congruent. If they are, state<br> the condition.
RideAnS [48]

Answer:

HL

Step-by-step explanation:

Since we have two pairs of congruent sides with the included angle, one pair of which are the hypotenuses, then the triangles are congruent by HL.

5 0
3 years ago
Read 2 more answers
What is the area of the figure below?
fgiga [73]

Answer:

Option a 26 inches square

Step-by-step explanation:

Given in the picture is a triangle with 3 sides as 10.8 inches, 5 inches and base =10+3 = 13 inches

The altitude for base 13 inches is shown as 4 inches.

We know that for any triangle area

=1/2 * base * height

Here base = 13 and height = 4

Hence area = 1/2 (13)(4) = 26 inches square

Answer is option a

---

This can be done in another way also

There are two triangles one with base 10 inches and height 3 inches and another with base 3 inches and height 4 inches

Area of combined figure = sum of area of two triangles

= 1/2 (10)(4) +1/2(3)(4) =

20+6

=26 square inches

4 0
3 years ago
Read 2 more answers
The area of a circle is found with the formula A = The expression is pi times r squared., where pi represents 3.14. If a tile ar
lana [24]
Okay. The formula for the area of the circle is A = πr². To find the radius, we would first do the steps in reverse. Let's divide the area by pi (3.14) 706.5/3.14 is 225. With that, the square root of 225 is 15, because 15² is 225. There. The radius of the circle is 15 feet.
7 0
3 years ago
Which correctly describes the type of symmetry of the butterfly pictured?
Alexxandr [17]

I'm not 100% sure, but I think it is A - Reflectional symmetry

I think it's Reflectional symmetry because If you look at the body of the butterfly, there is an implied vertical symmetry line right through the body.

This line makes the left image look mirrored to the image on the right.

Hope this helps :))

3 0
3 years ago
Other questions:
  • Find the length of the missing side 15 6
    5·1 answer
  • Find the x-intercept and y-intercept f(x)=(x^2-4)(x+1)
    6·1 answer
  • Given f(x) = 3x -1 &amp; g(x)= -x + 6, find f(-2) + g(5)​
    15·1 answer
  • The College Board reported the following mean scores for the three parts of the SAT: Critical reading 502 Mathematics 515 Writin
    13·1 answer
  • A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the
    6·1 answer
  • Since a light year is a unit of astronomical distance equal to the distance light travels in one year, which phrase best complet
    9·2 answers
  • A<br> B<br> C<br> OR<br> D<br> pls pls pls
    8·2 answers
  • Somebody please help me with my geometry
    15·1 answer
  • Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. After Laurie had checked her instr
    7·2 answers
  • Which expressions are equivalent to 10/10^3/4?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!