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
Rudiy27
3 years ago
11

Can someone help me

Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

m < 1 = 130°

m < 1 = 130°m < 2 = 50°

We know this is a linear pair, therefore the two angles must add up to 180°

(m < 1 )+ (m < 2 )= 180

5x + x + 24 = 180

Combine like terms

6x + 24 = 180

Isolate the variable

6x = 156

x = 26

Plug in 26 for x in both of the individual angle equations.

m < 1 = 5x

= 5(26)

= 130

m < 2 = x - 24

= (26) + 24

= 50

A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.

I hope this helped. Let me know if you have any questions!

You might be interested in
two jets leave an airport at the same time in opposite directions. the first jet is traveling at 323 mph and the other at 347 mp
skelet666 [1.2K]

Remark

This may be a little confusing, but because they are travelling in opposite directions, the distances add when you want to get how far apart they are.

d1 + d2 = 1541

Equation

Let the time this happens = t

d1 = 323*t

d2 = 347*t

323*t + 347*t = 1541 Combine like terms on the left.

670t = 1541 Divide by 670

t = 1541/670

t = 2.3 hours pass before the distance of 1541 miles are between the two planes. You might need the answer to be 2 hours 18 minutes.


4 0
3 years ago
Factor the polynomial 8x² − 24x − 224 completely
NeTakaya

Answer:

8(x+4)x(x-7)

Step-by-step explanation:

hope this helps!

3 0
3 years ago
The total cost of Anfä's trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup:
daser333 [38]

Answer:

The cost of each cavity filling was $ 134.60.

Step-by-step explanation:

Given that the total cost of Anfa's trip to the dentist was $ 628.35, and she paid a flat fee of $ 89.95 which included the checkup: cleaning and then had 4 cavities filled, each of which cost the same amount, to determine which shows the correct equation and value of x, the cost of each cavity filling, the following calculation must be performed:

(628.35 - 89.95) / 4 = X

538.4 / 4 = X

134.6 = X

Therefore, the cost of each cavity filling was $ 134.60.

5 0
3 years ago
Find the smallest positive $n$ such that \begin{align*} n &amp;\equiv 3 \pmod{4}, \\ n &amp;\equiv 2 \pmod{5}, \\ n &amp;\equiv
Alex777 [14]

4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.

We construct a number x such that taking it mod 4, 5, and 7 leaves the desired remainders:

x=3\cdot5\cdot7+4\cdot2\cdot7+4\cdot5\cdot6

  • Taken mod 4, the last two terms vanish and we have

x\equiv3\cdot5\cdot7\equiv105\equiv1\pmod4

so we multiply the first term by 3.

  • Taken mod 5, the first and last terms vanish and we have

x\equiv4\cdot2\cdot7\equiv51\equiv1\pmod5

so we multiply the second term by 2.

  • Taken mod 7, the first two terms vanish and we have

x\equiv4\cdot5\cdot6\equiv120\equiv1\pmod7

so we multiply the last term by 7.

Now,

x=3^2\cdot5\cdot7+4\cdot2^2\cdot7+4\cdot5\cdot6^2=1147

By the CRT, the system of congruences has a general solution

n\equiv1147\pmod{4\cdot5\cdot7}\implies\boxed{n\equiv27\pmod{140}}

or all integers 27+140k, k\in\mathbb Z, the least (and positive) of which is 27.

3 0
3 years ago
Purple paint is
Nikolay [14]

Answer:

dunt know just doing it for the points

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Over what interval is the function in this graph decreasing
    10·2 answers
  • Is Markiplier the best man?
    7·2 answers
  • Discuss the significance of the discontinuities of T to someone who uses the road. Because of the steady increases and decreases
    10·1 answer
  • I need help quickly with these problems please see the images thank you so much
    7·1 answer
  • A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds i
    14·1 answer
  • The desk is 1/2 as wide as it is long. If the desk is D meters long, how wide is the desk?
    7·2 answers
  • Geometry Help! (will mark brainliest)
    13·2 answers
  • Pls help its due today
    11·1 answer
  • PLZ HELP DUE TODAY IN 10 MIN
    8·2 answers
  • HEYOO PEEPS PUT THIS INTO YOUR OWN WORDS! If an object is at rest, it will stay at rest
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!