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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:

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A shirt with marked price Rs 1000 was sold to a customer for Rs 900. find the percentage of decrease
snow_tiger [21]

Answer:

10%

Step-by-step explanation:

Marked price of the shirt = Rs 1000

Sale price = Rs 900

Decease = (1000 - 900) Rs

= Rs 100

% decrease = decrease /marked price x 100%

That’s 100/1000 x 100%

0.1 x 100

10%

8 0
3 years ago
What is the answer to this question ? -7+17=
IRISSAK [1]
Well -7+17 would equal 10. Hope this helps!
3 0
4 years ago
Read 2 more answers
WILL DO ABSOLUTELY ANYTHING FOR THIS ONE HELP ASAP TIMES
Rina8888 [55]

Given:

The graph of a function y=h(x).

To find:

The interval where h(x)>0.

Solution:

From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, h(x)>0 for x and x>3.6.

The function between x=0 and x=3.6 lies below the x-axis. So, h(x) for 0.

Now,

For -1, the graph of h(x) is above the x-axis. So, h(x)>0.

For 0, the graph of h(x) is below the x-axis. So, h(x).

For 1, the graph of h(x) is below the x-axis. So, h(x).

Only for the interval -1, we get h(x)>0.

Therefore, the correct option is A.

3 0
3 years ago
Which of the following expressions represents “the quotient of nine times a number and seven ?
blsea [12.9K]

Answer:

9n÷7

Step-by-step explanation:

A quotient means a ratio or one quantity being divided by another, or in algebraic terms (a/b). In this case, the first quantity is "nine times a number" represented in terms of n as (n). The other quantity is just the number 7.

Dividing the 9 times n by 9 gives us the following:

9n÷7

<u><em>Hope this helps :></em></u>

7 0
3 years ago
I beg of you to please some-one help..I can't figure this out and it's driving me nuts- I will give Brainlist!
lyudmila [28]

Answer:

<em>A = 70</em>

Step-by-step explanation:

<em>CB </em>is equal to <em>EZ </em>and <em>E </em>equals 35, and <em>E </em>and <em>C </em>are the same, therefore, both <em>E </em>equals 35. Since there's 180 degrees in a triangle, and <em>ABY </em>equals 105, you have to subtract 180 - 105 to get the other angle. When you do that, you get that <em>B </em>equals 75. You have to add <em>E </em>and <em>B</em> (35 + 75), since that's in the same triangle as <em>A. </em>When you do that, you get 110. Subtract 180 - 110 to get <em>A, </em>which is 70.

3 0
3 years ago
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