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2 years ago

Which of the following matches a quadrilateral with the listed characteristics below?

Mathematics

1 answer:

Kruka [31]2 years ago

4 0

Answer:

Option (A)

Step-by-step explanation:

By the characteristics of a quadrilateral given in the question,

1). All four sides are congruent.

It may be Square, Rhombus

2). Both the pairs of opposite sides are parallel.

It may be Parallelogram, Rhombus.

3). Diagonals are perpendicular.

It may be Rhombus, Rectangle, Square.

Since all three characteristics define the properties of a Rhombus,

The given quadrilateral matches with a rhombus.

Therefore, Option (A) will be the answer.

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Brianna has x nickels and y pennies. She has no less than 20 coins worth no more

Bond [772]

Answer:

$y \ge 20 - x$

$y \le 80 -5x$

$(x,y) = (15,5)$

Step-by-step explanation:

Given

$Nickels = x$

$Pennies = y$

$Amount = \$0.80$ maximum

$Coins = 20$ minimum

Required

Solve graphically

First, we need to determine the inequalities of the system.

For number of coins, we have:

$x\ +\ y\ge 20$ because the number of coins is not less than 20

For the worth of coins, we have:

$0.05x\ +\ 0.01y\ \le0.80$ because the worth of coins is not more than 0.80

So, we have the following equations:

$x\ +\ y\ge 20$

$0.05x\ +\ 0.01y\ \le0.80$

Make y the subject in both cases:

$y \ge 20 - x$

$0.01y \le 0.80 - 0.05x$

Divide through by 0.01

$\frac{0.01y}{0.01} \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}$

$y \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}$

$y \le 80 -5x$

The resulting inequalities are:

$y \ge 20 - x$

$y \le 80 -5x$

The two inequalities are plotted on the graph as shown in the attachment.

$y \ge 20 - x$ --- Blue

$y \ge 80 -5x$ --- Green

Point A on the attachment are possible solutions

At A:

$(x,y) = (15,5)$

4 0

2 years ago

Bertie has just had a big win at the lotterey. He spends 4/5 of his money on a large house. He spends 3/4 of his remaining money

SpyIntel [72]

Answer:

Total money = $30,00,000

Step-by-step explanation:

Given:

4/5 money spend on house

3/4 remaining money spend on luxury yacht

2/3 remaining money spend on trip to space

Remaining $50,000 to charity

Find:

Total money

Computation:

Assume Total money = x

So,

Spend on house = [4x/5]

Spend on luxury yacht = [x-4x/5]3/4 = 3x/20

Spend on trip to space = [x/5-3x/20]2/3 = x/30

Remaining money = x/20 - x/30 = x/60 = $50,000

So,

x/60 = $50,000

x = $300,000

Total money = $30,00,000

7 0

3 years ago

Explain how you find it

aliina [53]

Answer:

x = 39

Step-by-step explanation:

there is a theorem that states that the midsegment in a trapezoid is equal to the sum of the bases divided by two

so, (36 + 42)/2 = x

36 + 42 = 78

78/2 = 39

8 0

3 years ago

Find the minimum value of

Lana71 [14]

Answer:

Step-by-step explanation:

2x + y = 20 (1)

2x + 3y = 36 (2)

(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20

⇔ 2y = 16

⇔ y = 8 (3)

From (3) and (1), we have:

2x + y = 2x + 8 = 20

⇔ 2x = 12

⇔ x = 6

So: C = x + y = 6 + 8 = 14

Conclusion : C = 14

Brainliest, please?

4 0

2 years ago

Two trains leave stations 272 miles apart at the same time. One train travles 75 miles per hour while the other travles at 95 mi

VARVARA [1.3K]

102 miles for them to meet up

5 0

3 years ago