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skad [1K]
3 years ago
7

In parallelogram PQRS, PQ =4x+28, QR=x+31, RS = 10X+4. Which of the

Mathematics
1 answer:
Doss [256]3 years ago
3 0

Answer:

44

Step-by-step explanation:

1) we know that opposite sides of a parallelogram are congruent so

4x+28=10x+4

2) subtract 4 on both sides

4x+24=10x

3)subtract 4x on both sides

24=6x

4)divide by 6 on both sides

4=x

5)substitute for x

length of RS =10(4)+4

length of RD=44

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What 2 digit numbers multiply to 2,025
Lana71 [14]
Square root 2,025 to get 45.
Or, multiply 45 × 45 to get 2,025.

Answer: 45
6 0
3 years ago
Malik has a bag with 7 green marbles and 3 black marbles.
Fynjy0 [20]

1) Probability: 7/30 (or 23.3%)

2) Probability: 21/100 (or 21.0%)

Step-by-step explanation:

1)

At the beginning, there are 10 marbles in total in the bag, of which 7 are green and 3 are blacks.

So the probability of choosing a green marble as first is:

p(g)=\frac{7}{7+3}=\frac{7}{10}

Then, after he picked a green marble, there are only 9 marbles left in the bag, of which 6 are green and 3 are black. Therefore, at the second time, the probability of choosing a black marble will be

p(b)=\frac{3}{3+6}=\frac{3}{9}=\frac{1}{3}

Therefore, the probability that Malik will draw a green marble first and then a black marble is the product of the two probabilities:

p(gb)=p(g)p(b)=\frac{7}{10}\cdot \frac{1}{3}=\frac{7}{30}

In percentage, this is \frac{7}{30}\cdot 100 =23.3\%

2)

In this second case, the same experiment is repeated by this time the first ball is put back into the back after the  first draw.

The probability that Malik will draw a green marble at the first attempt is the same as before:

p(g)=\frac{7}{7+3}=\frac{7}{10}

Later, the green marble is put back in the bag, so we still have 7 green marbles and 3 black marbles. Therefore, the probability of choosing a black marble at the second draw is

p(b)=\frac{3}{3+7}=\frac{3}{10}

Therefore, the overall probability is

p(gb)=p(g)p(b)=\frac{7}{10}\cdot \frac{3}{10}=\frac{21}{100}

In percentage, \frac{21}{100}\cdot 100 = 21.0\%

3)

The probability in the second case is lower because in the second case, the green marble is put back into the bag after the first draw, therefore at the second draw the probability of choosing a black marble is less than the first case (because in the 2nd case, there are more marbles in total to choose from, so the probability of choosing a black marble will be less).

Learn more about probability:

brainly.com/question/5751004

brainly.com/question/6649771

brainly.com/question/8799684

brainly.com/question/7888686

#LearnwithBrainly

3 0
4 years ago
Choose the graph that represents the equation y = –|x – 1|.
andrew11 [14]
The second photo is the correct graph.

4 0
3 years ago
For what values of x, does the graph's slope equal zero?​
Nutka1998 [239]

Answer:

1 < x ≤ 2

Step-by-step explanation:

A graph's slope equals zero when there is a change in the x-value, but there's no change in the y-value.

Here, we can see in the piecewise function that between 1 (not included) and 2 (included), the slope of the graph is 0.

Therefore, 1 < x ≤ 2 is correct

3 0
3 years ago
What is the area of A is 7.7ft and B is 5.2ft and C is 9.29 and this is a triangle
klasskru [66]
First find half of the perimeter of the triangle: s = (a + b + c) / 2 = 11.095

Then the area is:

A = Square Root [11.095 (11.095 - 7.7)(11.095 - 5.2)(11.095 - 9.29)] = 20.01999895 or 20.02 square feet rounded to 2 decimal places.
8 0
4 years ago
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