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
avanturin [10]
3 years ago
11

Please help needed!!! Help me!!!

Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

a = 85°

Step-by-step explanation:

<em>Method 1</em>

5x = 2x + 57° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles)

3x = 57°

x = 57/3 = 19°

a = 180 - 57 - 2x

a = 180 - 57 -2(19)

a = 85°

<em>Method 2</em>

2x + a + 57° = 180°

2x + a = 123° ==> 1

5x + a = 180°

x = (180° - a)/5 ==> 2

By substitution

2((180° - a)/5) + a = 123°

(360° - 2a)/5 + a = 123°

(360° - 2a)/5 = 123° - a

360° - 2a = 5(123° - a)

360° - 2a = 615° - 5a

-2a + 5a = 615° - 360°

3a = 255°

a = 85°

You might be interested in
Solve the system of equations<br> .625x - y = -9.625<br> -65x - y = -5
Ivan
Here, 0.625x - y = -9.625
y = 0.625x + 9.625

Substitute the value of y in 2nd equation, 
-65x - (0.625x + 9.625) = -5
-65x - 0.625x -9.625 = -5
-65.625x = 9.625 - 5
x = -4.625/65.625
x = -0.070

Now, substitute it in first equation, 
-65(-0.070) - y = -5
4.58 + 5 = y
y = 9.58

In short, Your Answer would be: (-0.070, 9.58)

Hope this helps!
6 0
3 years ago
An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cos
Amanda [17]

Answer:

Y = 7.60X + 1246.67

Step-by-step explanation:

Given the data:

Production Volume (units) Total Cost ($)

400 4000

450 5000

550 5400

600 5900

700 6400

750 7000

Using technology, the linear regression calculator, the regression model obtained by fitting the data is :

Y = 7.60X + 1246.67 ; which is the model giving the relationship between Production volume, x and total cost, y.

Slope = 7.60

Intercept = 1246.67

6 0
3 years ago
In the formula I=P·r·t, what does P stand for? a. Percent: the interest rate expressed as a percentage b. Principal: the amount
love history [14]

b. Principal: the amount of money you initially invested

5 0
3 years ago
Read 2 more answers
Easy Question! 5pts + branliest for the correct answer!
Advocard [28]

Answer:

29

Step-by-step explanation:

For the two digit numbers it has to end in a zero or five and be greater than 9 and below 100.

There are 18 multiples of 5 that are 2 digit

For multiples of 7... it's easier to write it out because the total number will will less than 20.

There are 13 multiples of 7 that are 2 digits

Now you have to subtract the multiples of 7 that end in a 0 or 5

That give you 11 multiples

Add 11 and 18 to get 29

5 0
3 years ago
Read 2 more answers
the product of 7 and a number increased by 3 is equal to twice the number subtracted from 39 find the number
Vanyuwa [196]
Say x is the number

7x +3 = 39 -2x
Add 2x to each side
9x +3 =39
Subtract 3 from each side 
9x =36
Divide by 9 on each side
x=4

Hope this helped
4 0
3 years ago
Read 2 more answers
Other questions:
  • Use the quotient rule to find the derivative of the given function.
    11·1 answer
  • Write the number in the form a+bi square root of -64+2?
    5·1 answer
  • PLEASE HELPPPPP FASSSTT
    6·1 answer
  • How do we use electromagnetic energy?<br> No googled answer
    8·2 answers
  • John, Rick, and Molli can paint a room working together in 6 hours. Alone, John can paint the room in 12 hours. If Rick works al
    13·1 answer
  • 7/8 x c for c =8. How do I figure out the answer to this problem?
    5·1 answer
  • Perform the indicated operations. Do the root of -48 in terms of i please
    8·1 answer
  • The last 10 calls to a customer support line had the following lengths (in minutes).
    5·1 answer
  • Which table shows exponential decay?
    6·1 answer
  • the diameter of a cylindrical water tank is 8ft and its height is 11 ft what is the volume of the tank?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!