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
lyudmila [28]
3 years ago
7

The measures of an angle and its supplement differ by 40°. What are the measures of the angles? Hint: an angle and its supplemen

t have degree measures whose sum is 180°.
a. Y + (y − 40) = 180; 70°, 30°
b. 2y + (y + 40) = 180; 40°, 140°
c. Y + (y − 40) = 180; 70°, 110°
d. Y + (y − 40) = 180; 60°, 120
Mathematics
1 answer:
blondinia [14]3 years ago
3 0

Assume y > x

Let the two angles be x and y

then, x + y = 180° ----------------- (i)

It is given the difference between angles is 40 °

So, y-x = 40

x= y-40

now equation (i) becomes

y-40+y = 180°

2y - 40 = 180°

2y = 220°

y = 110°

As x = y - 40

So x = 110-40

x = 70°

Hence the two angles are 110° and 70°

So the correct answer is option C


You might be interested in
Ramla has two full 1.5 litre bottles of water. She wants to fill as many glasses as possible with water from the bottles. Each g
DanielleElmas [232]

Answer:

8 glasses

Step-by-step explanation:

Total volume : 1500 ml

Glasses capacity : 180 ml

Glasses can be filled : 1500 / 180 = 8.33

Notice it says completely fill thus it is 8 glasses

6 0
3 years ago
Please help me with this
Marina86 [1]
I can’t exactly find the answer. But if you don’t get any answers either hopefully this is helpful. I would pick 24.
8 0
3 years ago
Read 2 more answers
Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​
Tamiku [17]

Base case: if <em>n</em> = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.

Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have

(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1

… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>

… = 2<em>m</em> + 2<em>k</em>

… = 2 (<em>m</em> + <em>k</em>)

which is clearly even. QED

8 0
3 years ago
trey is selling candy bars to raise money for his basketball team. the team receives $1.25 for each candy . he has already sold
zlopas [31]

Answer:

He has earned $31.25 for his basketball team.

Step-by-step explanation:

25 * 1.25 = 31.25

8 0
3 years ago
Read 2 more answers
In the figure shown, △BAC ≅ △EDF what is the value of x?
NISA [10]

Step-by-step explanation:

△BAC ≅ △EDF (given)

Therefore,

BC=EF

x-4=19

x=23

4 0
3 years ago
Other questions:
  • Multiply (b+3)*(a+7)
    11·2 answers
  • Plz help me !!!!!!!!!!!!!!!!!!!!!!!!!!!
    8·2 answers
  • Round 47,397 to the nearest ten
    15·2 answers
  • Hearts win. In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hea
    14·1 answer
  • Need these 2 answered. 50 points!<br><br> Please Show your work, Thanks! :)
    9·1 answer
  • I NEED HELP ASAP !!!!!!!!!!
    10·2 answers
  • Answer the top one please.
    10·1 answer
  • Find the slope of the following line. Y=1.4x
    9·2 answers
  • 5/7 + 8/14<br><br> 1 2/7<br> 19/14<br> 1 2/14 help, please
    6·2 answers
  • HELP ASP SHOW UR WORK WILL GET BRAINILEST AND 10 points
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!