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
Andreyy89
2 years ago
8

One angle is twice its supplement increased by 54 degrees. Find the measures of the two supplementary angles.

Mathematics
1 answer:
AnnyKZ [126]2 years ago
6 0

Answer: The two angles are 24 degrees and 156 degrees

======================================================

Explanation:

Let x and y be the two supplementary angles

"one angle is twice its supplement increased by 54 degrees"

means that

y = 2(x+54)

Whatever angle x is, we add on 54, then double it to get angle y.

x+y = 180 since they are supplementary angles

x+2(x+54) = 180 plug in y = 2(x+54)

x+2x+108 = 180

3x = 180-108

3x = 72

x = 72/3

x = 24

y = 2(x+54)

y = 2(24+54)

y = 156

as a check

x+y = 24+156 = 180

so x and y are confirmed to be supplementary angles.

You might be interested in
Can someone please help?​
TiliK225 [7]

Answer:

JUST USE THE CALCULATOR DUHHH!!!

7 0
2 years ago
Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.
Blizzard [7]

Answer:

The answer is

y = 3

y =  - 4

Step-by-step explanation:

We must find a solution where

\frac{6}{y + 1}  +  \frac{y}{y - 2}  =  \frac{6}{y + 1}  \times  \frac{y}{y - 2}

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

\frac{6}{y + 1}  \times  \frac{y - 2}{y - 2}  +  \frac{y}{y - 2}  \times  \frac{y + 1}{y + 1}

Which equals

\frac{6y - 12}{(y -2) (y + 1)}  +  \frac{ {y}^{2} + y }{(y - 2)(y + 1)}

Add the fractions

\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)}  =  \frac{6}{y + 1}  \times  \frac{y}{y - 2}

Simplify the right side by multiplying the fraction

\frac{6y}{(y  + 1)(y + 2)}

Set both fractions equal to each other

\frac{6y}{(y + 1)(y - 2)}  =  \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}

Since the denomiator are equal, we must set the numerator equal to each other

6y =  {y}^{2}  + 7y - 12

=  {y}^{2}  + y - 12

(y  + 4)(y - 3)

y =  - 4

y = 3

6 0
3 years ago
Read 2 more answers
A drawing shows 4 apples and 6 bananas. Which is the ratio of bananas to apples? 6:4 3:2 6 4 all of the above
ioda
<span> 4 apples and 6 bananas

so ration bananas to apples = 6:4 or 3:2  or 6 4

answer is 

</span><span>all of the above</span>
8 0
3 years ago
Read 2 more answers
Could someone please solve this and explain how to do it?
galben [10]

Answer:

no clue buddy sry

Step-by-step explanation:

4 0
3 years ago
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which
Dmitrij [34]

Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3

Step-by-step explanation:

Since, For function f , the domain is R - {7}

That is, If x is any element of the domain of the function f,

Then,  x ≠ 7

(gof)(x) = g(f(x))

Since, For the function g, the domain is R - {-3}

Thus,  If f(x) is any element of the domain of the function g,

Then f(x)≠ -3

Hence, Fourth Option is correct.

8 0
3 years ago
Other questions:
  • What is the domain of the function y=2sqrtx-6?
    8·1 answer
  • Fill in the other coordinate for the line 2x - 5y = 11: (4, )
    9·1 answer
  • Which of the following will make a confidence interval narrower and more precise?
    5·1 answer
  • What is the GCF for 45 of 60 plz right it out
    13·1 answer
  • 9x6<br><img src="https://tex.z-dn.net/?f=9%20%5Ctimes%206" id="TexFormula1" title="9 \times 6" alt="9 \times 6" align="absmiddle
    10·2 answers
  • A study is conducted to examine the correlation between Training Time and the Error Rate of employees. If the correlation coeffi
    6·1 answer
  • Plz answer this question​
    7·1 answer
  • PLS HELP QUICKKK its almost due
    8·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST
    6·1 answer
  • A lecturer wants to divide a class of 18 students into 3 groups, each of 6 students, to do 3 different statistical projects.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!