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
Gennadij [26K]
3 years ago
13

The figure is a parallelogram.

Mathematics
2 answers:
slavikrds [6]3 years ago
6 0
Answer:  " m∠ACD = 40° " .
______________________________________________________
Explanation:
______________________________________________________
We are asked to find:  "m∠ACD" ; 
______________________________________
Note:  m∠ACD  =  m∠ABD ; 
______________________________________________________
So, given: 

m∠ACD  =  (4x + 4)° ;

m∠ABD =   <span>(6x - 14)° ;
_______________________________________________________
  4x + 4 = 6x - 14 ;

Solve for "x" ; then solve for:  "m</span>∠ACD"  ;
_______________________________________________________
 Add "14" to each side of the equation; and subtract "4x" from each side of the equation ; 

  4x + 4 + 14 - 4x  = 6x - 14 + 14 - 4x  ;

to get:

18 = 2x ;

↔  2x = 18 ;

Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; & to solve for "x" ;
__________________________________________________________
     2x / 2 = 18/2 ;

      x = 9 .
_________________________________________________________
Now, to solve for:  " m<span>∠ACD "  :
</span>_________________________________________________________
      m∠ACD =  <span>(4x + 4)°  ;

Substitute "9" for "x" ; 
</span>
      m∠ACD = (4*9) + 4 = 36 + 4 = 40° .
_____________________________________________
Answer:  " m∠ACD = 40° " .
_____________________________________________
Let us check our answer:
_____________________________________________
m∠ACD = 40 ; and m<span>∠ABD = (6x - 14) ;

</span>m∠ACD = ∠ABD ; 
<span>
Since </span>m∠ABD = (6x - 14) ;  

If x = 9;  if we plug in "9" into the expression for "m∠ABD" ; will the value obtained be "40" ??

m∠ABD = (6x - 14) ;  Let us plug in "9" for "x" ; to see if the value obtained is "40"

6x - 14 = ? (6*9) - 14 ??
 
6x - 14 = ?  54 - 14 ??

6x - 14 = ? 40 ?? Yes!
______________________________________________
Softa [21]3 years ago
5 0

Answer:

c:40

Step-by-step explanation:

You might be interested in
What is the exact distance from (-5, 1) to (3,0)?
Vlada [557]
Distance is calculated by the square root of (x2-x1)^2 + (y2-y1)^2

We simply substitute the values into this formula

Square root of (3--5)^2 + (0-1)^2

Which is 8
8 0
3 years ago
Mary wants to buy one large pizza, one medium pizza, and three drinks. The drinks cost $p$ dollars each, the medium pizza costs
Korolek [52]

Answer:

30-8p

Step-by-step explanation:

Let p represent cost of each drink.

We have been given that the medium pizza costs two times as much as one drink, so the cost of medium pizza would be 2p.

We are also told that the large pizza costs three times as much as one drink,  so the cost of la pizza would be 3p.

We have been given that Mary wants to buy one large pizza, one medium pizza, and three drinks.

Since the cost of one drink is p, so cost of 3 three drinks would be 3p.

The total cost of one large pizza, one medium pizza, and three drinks would be 2p+3p+3p=8p

Mary started with $30, so amount left after all of her purchases would be 30 minus total cost of all purchases.

30-8p

Therefore, Mary will have 30-8p dollars left after making all of her purchases.

4 0
3 years ago
I don't understand help
TiliK225 [7]
First arrange numbers
14,15,15,17,19,20,21,23,24
19 is median
15+15/2=15 is first quartile
7 0
3 years ago
Giveaway time!!! Get your free 50 points
Mumz [18]

Answer:

huh

Step-by-step explanation:

huh

4 0
2 years ago
Read 2 more answers
Help me what is this
AfilCa [17]

Answer:

Dog

Step-by-step explanation:

This seems to be a Chihuahua breed of a dog

7 0
3 years ago
Read 2 more answers
Other questions:
  • The stopping distance d of an automobile is directly proportional to the square of its speed s.
    15·1 answer
  • A new surgical procedure is said to be successful 60% of the time. Suppose the operation is performed five times and the results
    12·1 answer
  • Which expression is equivalent to (3a +b)(2a-4b)
    10·1 answer
  • Which number completes the square to form a perfect square trinomial?<br> x2 +12x +
    15·2 answers
  • Find the surface area of each triangular prism. Round to the nearest tenth if necessary.
    5·2 answers
  • Donovan: m=312.3 b=18.5<br> Find the slope of the linear model
    5·1 answer
  • The Singh family takes a road trip every year. This year, the family recorded the total distance traveled after each hour and pl
    12·2 answers
  • I need help please ​
    11·2 answers
  • Write the slope-intercept form of the equation of each line given the slope and y-intercept.
    15·1 answer
  • Find the possible value of x​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!