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
grin007 [14]
3 years ago
10

Help needed desperately

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

80° , 100°, 80°

Step-by-step explanation:

∠ 1 and ∠ 2 form a straight line and sum to 180° , then

2x + 40 + 2y + 40 = 180

2x + 2y + 80 = 180 ( subtract 80 from both sides )

2x + 2y = 100 → (1)

∠ 1 and ∠ 3 are vertical angles and are congruent , then

2x + 40 = x + 2y ( subtract x from both sides )

x + 40 = 2y ( subtract 40 from both sides )

x = 2y - 40 → (2)

Substitute x = 2y - 40 into (1)

2(2y - 40) + 2y = 100

4y - 80 + 2y = 100

6y - 80 = 100 ( add 80 to both sides )

6y = 180 ( divide both sides by 6 )

y = 30

Substitute y = 30 into (2)

x = 2(30) - 40 = 60 - 40 = 20

Thus x = 20 and y = 30

Then

∠ 1 = 2x + 40 = 2(20) + 40 = 40 + 40 = 80°

∠ 2 = 2y + 40 = 2(30) + 40 = 60 + 40 = 100°

∠3 = x + 2y = 20 + 2(30) = 20 + 60 = 80°

You might be interested in
The sum of two numbers is 13. Two times the first number minus 3 times the second number is one. If your ex stand for the first
Sav [38]

Answer:x = 8, y = 5

Step-by-step explanation:The sum of two numbers is 13. Two times the first number minus three times the second numberis 1. If you let x stand for the first number and y for the second number, the two numbers are: A. x = 8, y = 5

6 0
3 years ago
Answer ASAP, Find the quadratic equations whose roots are ½ and -5/2​
ArbitrLikvidat [17]

Answer:

4x^2+8x-5

Step-by-step explanation:

You work backwards to get (2x-1) which gets you the root 1/2 and (2x+5) which gets you the root -5/2 after this you foil what you have so (2x-1) times (2x+5). You do 2x times 2x which gives you 4x^2 2x times 5 which gives you 10x -1 times 2x which gives -2x and lastly -1 times 5 which gives you -5 now you combine like terms and get your final answer of 4x^2+8x-5

3 0
3 years ago
I will give lot of points please help
zheka24 [161]

Answer:

V = 43323 mm³

(second answer is already correct)

Step-by-step explanation:

these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.

the volume of a cylinder can be found with the formula:

V = πr²h

(V = volume ; π = pi ; r = radius ; h = height)

We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.

diameter = 19.05

radius = 19.05 / 2 = 9.525

so, r = 9.525

we also are given the height of this cylinder, 38 mm

so, h = 38

π = 3.14159 (π is a constant)

plugging our measurements into the volume formula:

 V = πr²h

V = (3.14159)(9.525²)(38)

V =  (3.14159)(362.9025)(38)

V = 43323.4894628

[rounded to V = 43323 mm³]

And yes, the volume is not affected by a change in shape. (you are correct)

hope this helps!!

4 0
2 years ago
Read 2 more answers
Please give an explanation or show your work!
11111nata11111 [884]
(2, 12)

Because that is where the graphs intersect. 
5 0
3 years ago
One bag of rice that weighs 4.5 pounds will have enough rice if a recipe calls for 60 ounces of rice. (1 pound = 16 ounces)
krek1111 [17]

the bag of rice weighs 4.5 pounds


Multiply 4.5 with 16 oz (as 1 lb = 16 oz)


4.5 x 16 = 72.


The bag of rice has 72 oz of rice inside.


The recipe only needs 60 oz of rice ∴ True, you will have enough, with 12 oz left over.



hope this helps

8 0
3 years ago
Other questions:
  • What is the area of this figure?<br> Please be 100% sure.
    7·1 answer
  • Complete the statement with , or =.
    10·1 answer
  • -4x + 7 = 11 help me please!
    8·2 answers
  • A label wraps around soup can with a radius of 4.3 cm and a height of 6 cm. What is the lateral surface area of the label of the
    13·2 answers
  • Trail mix is sold in 1-pound bags. Mary will buy some trail mix And re-package it si that each f the 15 members of her hiking cl
    12·2 answers
  • So this is the question: Meg has 7/8 jug of orange juice. How many 1/2 jug servings can Meg get from that jug? Please help me!
    10·2 answers
  • Sarah described the following situation:
    6·1 answer
  • 3. Of 1000 randomly selected cases of lung cancer, 450 resulted in death within 5 years. Calculate a 96% CI on the death rate fr
    5·1 answer
  • Helllkkklppppppp plzzzzzzzzz<br>​
    6·1 answer
  • Use the Distributive Property to simplify the expression.<br><br> 10(b−6) =
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!