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shtirl [24]
3 years ago
7

From this given statement, select the definition , property, postulate, or theorem that justifies the prove statement.

Mathematics
1 answer:
USPshnik [31]3 years ago
5 0
Additive property of equality states that:

if a=b, then a+c = b+c, 

that is, if 2 quantities of the same value are added the same quantity, they are again equal.


In our problem a=AD, b=DB,    and c= CD=DE

thus a+c=b+c means <span>AD + CD = DE + DE, 

by the </span><span>Addition Property


Answer: </span><span>Addition Property

</span>
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Work the following financial transactions. Your station charges $15.95 for an oil change. As a promotion you sell six coupons fo
Galina-37 [17]

Answer:

Discount percentage is 16.4% for the customers who purchase 6- coupon book .

Step-by-step explanation:

Formula

Discount\ percentage = \frac{Discount\times 100}{Original charge of the oil change for 6 times}

As given

Your station charges $15.95 for an oil change.

Original charge of the oil change for 6 times = 6 × Original charge for oil change .

                                                                          = 6 × 15.95

                                                                          = $ 95.7

As a promotion you sell six coupons for oil changes for $80.

Discount = Original charge of the oil change for 6 times - Charge by six coupons for oil changes .

               = $95.7 - $80

               = $ 15.7

Putting all the values in the above

Discount\ percentage = \frac{15.7\times 100}{95.7}

Discount\ percentage = \frac{15700\times 10}{957\times 10}

Discount\ percentage = \frac{15700}{957}

Discount percentage = 16.4%

Therefore the discount percentage is 16.4% for the customers who purchase 6- coupon book .

6 0
3 years ago
Read 2 more answers
The table displays the number of butterflies collected in a sample over three years. What inferences can be made from the sample
Nina [5.8K]

Answer:

B) - The Viceroy population remained fairly steady over the three years recorded.

C) - The average number of Zebra Swallowtails over all three samples will be less than the number recorded in year 1.

D) - If a population is increasing over time, the average will be less than the most recent count.

Step-by-step explanation:

just got it right on the test

4 0
3 years ago
Read 2 more answers
The algebra tiles represent the perfect square trinomial x2 10x c. what is the value of c? c =
devlian [24]

The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

<h3>What are perfect squares trinomials?</h3>

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

(ax + b)^2 = a^2x^2 + b^2 + 2abx

Comparing this expression with the expression we're provided with:

x^2 + 10x + c

we see that:

a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\

Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

Learn more about perfect square trinomials here:

brainly.com/question/88561

6 0
2 years ago
NEED ANSWER ASAP!!<br> Find x
sineoko [7]

Step-by-step explanation:

\frac{48}{2x + 7}  =  \frac{40}{5x - 2}  \\ 48(5x - 2) = 40(2x + 7) \\ 240x - 96 = 80x + 280 \\ 240x - 80x = 96 + 280 \\ 160x = 376 \\  \frac{160x}{160}  =  \frac{376}{160}  \\ x = 2.35

6 0
3 years ago
Hi what is the answer for b please
Ray Of Light [21]

E = 352.50 euro × 1 pound / 1.41 euro = 250.00 pounds

J = 39856 yen × 1 pound / 188 yen = 212.00 pounds

a) Japan is cheaper

b) 250 - 212 = 38 pounds cheaper

7 0
3 years ago
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