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
Alex Ar [27]
2 years ago
11

Solve for the variables

Mathematics
1 answer:
docker41 [41]2 years ago
8 0

9514 1404 393

Answer:

  (x, y) = (36, 68)

Step-by-step explanation:

Let z represent the measure of each half of the bisected angle. We can write some equations relating x, y, and z based on the fact that the sum of interior angles of a triangle is 180°.

  x +2z = 90 . . . . . . sum of acute angles in a right triangle

  x +117 +z = 180

  y +58 +2z = 180

__

Using the first equation to substitute for x in the second equation, we get ...

  (90 -2z) +117 +z = 180

  27 = z . . . . . . . add z -180

Then ...

  x = 90 -2(27) = 36

  y = 180 -58 -2z = 122 -2(27) = 68

The variable values are x = 36 and y = 68.

You might be interested in
Pls help me answer the products and factors<br><br><br> thx
Sever21 [200]

Answer:

products - -3x and 6x^2

factors - 8 and 2x

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Using the figure below, select the two pairs of alternate interior angles.
algol [13]

Answer:

B :point 2 and point 3

Step-by-step explanation:

The only interior angles are 6, 2, 3, and 7

The angles equal to each other are 6 and 7 or 2 and 3

6 and 7 is not an option so 2 and 3 are the correct answer.

7 0
4 years ago
Read 2 more answers
-3n^2-13n +1= 0<br> need this asap. i’m lost.
lesya692 [45]

Answer:

if you're trying to find the discriminant, then it's 181.

Step-by-step explanation:

6 0
3 years ago
Rachel has $9 in a savings account. The interest rate is 5%, compounded annually.
pogonyaev
1 % of 9 is 0.09, multiply 0.09 by 5= 0.45 (to find 5%)
Then multiply 0.45 by 36 (3years)= 16.20
Then add 16.20 to $9= $25.20
7 0
3 years ago
Use the quadratic formula to solve the equation. 2x^2-6x+1=0 Enter your answers, in simplified radical form, in the boxes.
Anika [276]

Answer:

(3 (pm) sqrt(7))/2

Step-by-step explanation:

First step: Identify a,b, and c

a=2

b=-6

c=1

Second step: Find b^2-4ac (this is called the discriminant-I will call this D)

(-6)^2-4(2)(1)=36-8=28

Third step: Find the square root of the discriminant aka sqrt(D)

sqrt(28)

Let's see if we can simplify sqrt(28)

Here is there a factor of 28 that is a perfect square? How about 4? Yep!

sqrt(28)=sqrt(4)sqrt(7)=2sqrt(7).

Fourth Step: What is -b? If b=-6 then -b=6.

Fifth step: What is 2a?  2(2)=4

So the formula is

x=(-b (pm) sqrt(D))/(2a)

or

x=(step4 (pm) step 3)/(step 5)

x=(6 (pm) 2sqrt(7))/4

Simplify

x=(3 (pm) sqrt(7))/2

*pm means plus or minus

*sqrt( ) means square root of the number that follows in the ( )

5 0
3 years ago
Read 2 more answers
Other questions:
  • What the answer for x and y
    8·1 answer
  • Which object has the mass of about one gram
    7·2 answers
  • What number should both sides of the equation be multiplied by to solve for x?x/4.5 = 6
    7·1 answer
  • Suppose h(t)=-0.2t squared +2t models the height in feet of ball that is kicked into the air where t is given as time in seconds
    12·2 answers
  • What is the quotient of: (x4+6x3+5x2−18x−24)÷(x2−3)
    14·2 answers
  • In which group on the Periodic Table does the atom pictured belong?
    6·1 answer
  • The graph of a sinusoidal function intersects its midline at (0,-2) and then had a minimum Point at (3pi/2,-7)
    10·1 answer
  • Who wants free brainliest
    7·1 answer
  • Lila invested 10000 in one of long life insurance company annuity contracts. When issued, the contract was paying a 5 percent ra
    13·1 answer
  • the water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!