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
konstantin123 [22]
3 years ago
15

PLEASE HELP MATH QUESTION

Mathematics
1 answer:
Nikitich [7]3 years ago
3 0

Answer:

The measure of \angle ACD = 42

Step-by-step explanation:

Given:

\angle WZX = 82\\\angle BDC = 56\\

construction :

Saul draws a line parallel to \vec {AB}that intersects \vec {ZA} at C and \vec {ZB} at D.

we have drawn it in orange colour in the figure below

Solution

We know vertically opposite angles are equal therefore, angle WZX and angle CZD are vertically opposite angles. Therefore they are equal as we have measured angle WZX is 82° so measure angle CZD is also 82°

\angle WZX = \angle CZD = 82  

Now measure angle BDC is 56° given so that is also same as measure angle CDZ

\angle BDC = \angle CDZ = 56

Now in triangle CZD we have SUM of the all the measures of angle is 180° by Triangle property. Therefore,

\angle CZD + \angle CDZ + \angles ZCD = 180

Now substituting the values of angle CZD = 82° and angle CDZ = 56° we get,

82 + 56 + \angle ZCD = 180\\138 + \angle ZCD = 180\\\angle ZCD = 180 - 138\\\angle ZCD = 42

But angle ZCD is the same angle ACD. Therefore both are same

\angle ZCD = \angle ACD =42\\\angle ACD = 42

You might be interested in
Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a com
gogolik [260]

Answer:

P(x) = base pay + percentage of total dollar amount company makes x

Step-by-step explanation:

I don't think there's enough information here, but this is what I've got.

Hope this helps!

4 0
4 years ago
How do I graph this?
antoniya [11.8K]

Answer:

Step-by-step explanation:

You would simply change the x value s to its opposite and keep the y values the same.

7 0
3 years ago
Read 2 more answers
Sue purchased a $30,000 life insurance policy at the price of $24 for each $1000 of coverage. If she pays the premium in 12 mont
Inessa [10]

Cost of life insurance is $30000 at a price of for each $24 for each $1000 of coverage.

Cost = \frac{24}{1000}\times30000

= $720

Premium is paid each month then it becomes \frac{720}{12}=60

=$60

3 0
4 years ago
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet a
Evgesh-ka [11]

Answer:

11.8 % empty

Step-by-step explanation:

volume of cylinder : pi × r² × h

attention ! the question gives us diameter, so for radius we need to cut them in half.

Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³

Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³

after filling B with everything in A there is still some empty volume in B

Vb empty = Vb - Va = 185.35397... ft³

so,

100% Vb = 1570.79633... ft³

1% Vb = 15.7079633... ft³

so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?

185.35397... / 15.7079633... = 11.8%

4 0
3 years ago
A. 15-0.5(4x-2)+4x=17 (show your work)
ahrayia [7]
Hope this helps please answer my chemistry questions

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please i am dying this is A REALLY HARD QUESTION!<br><br><br><br><br><br><br> 1+4=??!?!?!??
    8·2 answers
  • How do you find the mode of a set of numbers? *
    13·1 answer
  • Ax + by = c solve for y
    14·2 answers
  • What is the answer to this?
    13·1 answer
  • Solve equation for y.<br> x/a + y/b = 1
    13·1 answer
  • Can you help me with this?
    8·1 answer
  • Calculate m∠ADC. Round to the nearest thousandth.
    11·1 answer
  • Due Today
    12·1 answer
  • What is the solution set for 9x2-25 = 0?​
    7·1 answer
  • 1. Match each diagram with its name.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!