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
aleksandr82 [10.1K]
2 years ago
11

Help me find answer please very much lost and its a test:(((will give brainiest or w.e it is

Mathematics
1 answer:
user100 [1]2 years ago
3 0

Answer:

x = 8

Step-by-step explanation:

Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.

m<MNO = (5x + 2)° => exterior angle of ∆LMN

m<NLM = (x + 10)° => interior angle of ∆LMN

m<LMN = (x + 16)° => interior angle of ∆LMN

Therefore:

m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)

Substitute

5x + 2 = x + 10 + x + 16

Add like terms

5x + 2 = 2x + 26

Collect like terms

5x - 2x = -2 + 26

3x = 24

Divide not sides by 3

x = 24/3

x = 8

You might be interested in
A square is a quadrilateral with four equal sides and four 90 degree angles. Is quadrilateral ABCD a square?
Rainbow [258]

Answer: yes

Step-by-step explanation:

4 0
2 years ago
What is the answer to 2 5/3-2 3/2=
jek_recluse [69]
First, we can convert both of them to improper fractions.

We do that by multiplying the denominator to the whole number, adding it to the numerator, and keeping the denominator.

2 5/3 - 2 3/2

So we have:

11/3 - 7/2

Convert both of them to denominators of 6:

22/6 - 21/6

Subtract the numerators and keep the denominators:

1/6
3 0
3 years ago
Read 2 more answers
An angle that is one half its arc is a/n ____________ angle.
Greeley [361]

Answer:

it's an inscribed angle

Step-by-step explanation:

4 0
3 years ago
Write a positive or negative integer that represents the situation. You lose 38 coins in a video game.
ikadub [295]
What are we supposed to do about you losing coins? could you show an image.
5 0
2 years ago
A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If w
sveticcg [70]

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

7 0
3 years ago
Other questions:
  • The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 4959 miles, with a standard
    14·1 answer
  • Quiero resolver problemas se evaluación
    12·1 answer
  • Joanne has a cylindrical, above ground pool. the depth (height) of the pool is 1/2 of its radius, and the volume is 1570 cubic f
    11·1 answer
  • Simplify. <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B4x%5E%7B2%7D%20%7D%7B3y%7D%20%7D" id="TexFormula1" title="
    11·1 answer
  • If the temperture rises from 4 to 15.5 percent what is the increase
    5·1 answer
  • What is 100.35 and 67.89 and 77.67 and how many r there in all
    12·2 answers
  • I will give brainliest help please
    15·1 answer
  • A kennel offers day care for dogs twice a week. The box and whisker plots below shows the weights of the dogs that were in day c
    7·1 answer
  • How many quarts are in 4 gallons
    6·1 answer
  • What is the answer??????​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!