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
Elis [28]
3 years ago
13

The angle measures are represented by algebraic expressions.

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

The value of x is 0.5

The value of y is 0.8

The value of z is 0.9

Step-by-step explanation:

* Lets explain how to find the values of x , y and z

- <u><em>From the attached figure</em></u>

# l_{1} and l_{2} intersect each other at a point

- When two lines intersect each other at a point they formed

 congruent vertical opposite angles

∴ The angle of measure (50z + 13)° = the angle of measure (80z - 14)°

  because thy are vertical opposite angles

∴ 50z + 13 = 80z - 14

- Add 14 to both sides

∴ 50z + 27 = 80z

- Subtract 50z from both sides

∴ 27 = 30z

- Divide both sides by 30

∴ z=\frac{27}{30}=\frac{9}{10}=0.9

* The value of z is 0.9

- <u><em>From the attached figure</em></u>

# The angles of measures (50z + 13)° and (45x + 19/2)° have sum

   of 90°

∴ 50z + 13 + 45x + 19/2 = 90

∵ z = 0.9

∴ 50(0.9) + 13 + 45x + 19/2 = 90

∴ 45 + 13 + 45x + 9.5 = 90

- Add like term in the left hand side

∴ 67.5 + 45x = 90

- Subtract 67.5 from both sides

∴ 45x = 22.5

- Divide both sides by 45

∴ x = 0.5

* The value of x is 0.5

- <u><em>From the attached figure</em></u>

# There is a ray perpendicular to line l_{1}

∴ The measure of the angle whose measure (225y/2)° is 90°

∴ \frac{225y}{2}=90

- Multiply both sides by 2

∴ 225y = 180

- Divide both sides by 225

∴ y=\frac{180}{225}=\frac{4}{5}=0.8

* The value of y is 0.8

You might be interested in
Instructions: The polygons in each pair are similar. Find the missing side length.
adoni [48]

Answer:

20

Step-by-step explanation:

<u>25 </u>  =     <u> x</u>

20           16

(25*16)/20 = 20

4 0
2 years ago
Write the number 23.785 in expanded form and in word form
Anastasy [175]

Answer:

20+3+0.7+0.08+0.005

Step-by-step explanation:

can you follow me

5 0
3 years ago
Round your answer to the nearest hundredth.
lesya692 [45]

Answer:

AC = 2.96 (rounded to nearest hundredth )

8 0
2 years ago
Please help meh plss
iragen [17]

Answer:

A, B

Step-by-step explanation:

Point C is greater than point B is correct, point C lies at 1.5.

1.5 is greater than 0.

Point B is less than 1 is correct, point B lies at 0.

0 is less than 1.

4 0
2 years ago
If dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3
Lapatulllka [165]

Answer:

The equation of the tangent line passing through the point (-2,3) is

 4 x + y +5 =0

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the slope of the tangent</em>

<em>              </em>m = \frac{dy}{dx} = x(y-1)<em></em>

<em>              m = -2( 3-1) = -4</em>

<em>Given point x = -2</em>

<em>          y = f(-2) =3</em>

<em>∴The given point ( x₁ , y₁) = ( -2 ,3)</em>

<u><em>Step(ii):-</em></u>

The equation of the tangent line passing through the point (-2,3)

y - y_{1} = m(x-x_{1} )

y -3 = -4(x-(-2))

y -3 = -4( x+2)

y-3 = -4x -8

4x + y -3+8=0

4x +y +5=0

<u><em>Step(iii):-</em></u>

<em>The equation of the tangent line passing through the point (-2,3) is</em>

<em>   4 x + y +5 =0</em>

<em></em>

3 0
2 years ago
Other questions:
  • What is 120 percent of 50?
    6·2 answers
  • Hendrick wants to enlarge a photo that is 4 inches wide and 6 inches tall. The enlarged photo keeps the same ratio. How y'all is
    11·1 answer
  • The amount to which $5,000 would grow in ten years at 6% compounded semiannually.
    11·2 answers
  • Suppose an investment of $2,300 doubles in value every decade. The function F(X)= 2300 * 2^X gives the value of the investment a
    8·1 answer
  • $1334 is deposited into a savings account at 8% interest, compounded quarterly. To the nearest year, how long will it take for t
    14·1 answer
  • Please help! I'd appreciate it !
    10·1 answer
  • Can I please get help on my assignment!
    15·1 answer
  • HELPPPP I need this for a math quiz for my grade
    7·1 answer
  • Help? linear equations. when you do it drop your Cashapp !
    13·1 answer
  • Jason compares the price of oranges at 4 stores,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!