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emmainna [20.7K]
3 years ago
14

The following quadrilateral is a parallelogram.

Mathematics
1 answer:
kvv77 [185]3 years ago
8 0

Answer:

12

Step-by-step explanation:

By definition, opposite sides of a parallelogram are congruent.

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The function f(x) = 10(1.015)* shows the balance in a savings account as time increases. What does the 10 represent?
Sholpan [36]

Answer:

10 represents the initial amount!

Step-by-step explanation:

4 0
3 years ago
There are 15 candidates for 4 job positions.
Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

<em>Total Possible Selection = 32760 ways</em>

<em></em>

Method 2:

This can be solved using permutation method which goes thus;

nPr = \frac{n!}{(n-r)!}

Where n = 15 and r = 4

So;

nPr = \frac{n!}{(n-r)!} becomes

15P4 = \frac{15!}{(15-4)!}

15P4 = \frac{15!}{11!}

15P4 = \frac{15*14*13*12*11!}{11!}

15P4 = 15*14*13*12

15C4 = 32760

<em>Hence, there are 32760 ways</em>

8 0
4 years ago
GIVING BRAINLIEST!!! DUE IN 30 MINUTES!
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

When thermal energy is added to a substance, its temperature increases, which can change its state from solid to liquid (melting), liquid to gas (vaporization), or solid to gas (sublimation). ... When the pressure exerted on a substance increases, it can cause the substance to condense.

3 0
3 years ago
The last time it placed an order for ingredients, Sweet Treats Bakery ordered 7,160 kilograms of sugar. This time, the bakery is
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Answer:

4296 kg

Step-by-step explanation:

40/100 = x/7160

716 times 6 is 4296

3 0
3 years ago
Select all that are true.
satela [25.4K]

Answer:

1

2

6

Step-by-step explanation:

1/2 +1/2 =1

length 1/2 ×4=2

wide 1/2 ×3 =1 1/2

height 1/2×3= 1 1/2

4 0
4 years ago
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