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2 years ago

ABCD is a parallelogram. What is the measure of ∠ACD?

Mathematics

1 answer:

Igoryamba2 years ago

8 0

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

You might be interested in

The members of a club decide to sell hats to raise money. They originally

finlep [7]

Answer:

A. 41 (12 - 2)

Step-by-step explanation:

If the club decided to charge $12 for a hat, but reduced the price by $2, the reduced price of the hat is (12 - 2). The amount of money earned is based upon the price of the hat multiplied by the number of hats sold. Therefore, the answer is 41 (12 - 2).

Hope this helped :)

7 0

1 year ago

A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost

Nadya [2.5K]

Answer: $11.80 for another 4 panes of glass.

Step-by-step explanation: We know that 9 panes of glass cost $26.55, but we should first find how many dollars would it cost per pane of glass, or 1.

So, we can divide 26.55 by 9 to find the price per 1 pan of glass.

26.55/9 = 2.95, or $2.95 per pane of glass.

Now, we want to know how much it will cost for 4 panes of glass. Simply multiply 2.95 by 4.

2.95 x 4 = 11.8, or $11.80 for another 4 panes of glass.

8 0

3 years ago

Read 2 more answers

10x^3 y^-5 z^-2 if x=3 y=2 and z=5 express your answer as a reduced fraction

sineoko [7]

Answer:

$\large\boxed{\dfrac{27}{80}}$

Step-by-step explanation:

Put x = 3, y = 2 and z = 5 to the given expression $10x^3y^{-5}z^{-2}$ :

$10(3^3)(2^{-5})(5^{-2})\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{10(27)}{(2^5)(5^2)}=\dfrac{270}{(32)(25)}=\dfrac{270}{800}=\dfrac{27}{80}$

7 0

3 years ago

-5/4x+2/5=-13/30. What is the solution to ths equation

uysha [10]

2/3 is the answer to this problem.

8 0

3 years ago

Jessica purchased a dvd that was on sale for 12% off. the sales tax in her county is 3%. let y represent the original price of t

ohaa [14]

Jessica purchased a DVD that was on sale for 12% off.

The sales tax in her county is 3%.

Let, y represent the original price of the DVD.

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will form an algebraic expression, according to the given data.

So,

The original price of the DVD = y

Discount on the original price :

y * 12/100

=3y/25

Price after discount :

y - 3y/25

=25y - 3y/25

=22y/25

Sales tax amount :

22y/25 * 3/100

11y/25 * 3/50

=33y/1250

Final price including the sales tax :

22y/25 + 33y/1250

1100y + 33y/1250

1133y/1250

(This will be considered as the final result.)

Learn more about sales tax here:brainly.com/question/9437038

#SPJ4

5 0

1 year ago