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2 years ago

4x – y = 7 3y – 12x = –21

Mathematics

2 answers:

Elis [28]2 years ago

6 0

Answer:

y= 4x − 7 or 0=0

Step-by-step explanation:

4x−y+−4x=7+−4x

meriva2 years ago

3 0

The answer is y=4x-7

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If the perimeter of a rectangle is 360 feet, and the length is twice the width, what is the length?

geniusboy [140]

Answer:

(P) =360

(l) =?

(b) =?

so, let the breadth be x

let the length be 2x

Perimeter of rectangle=2(l+b)

360 =2(2x+x)

360/2 =2x

180/2 =x

60 =x

x =60

ATQ

Breadth = 60

length= 60 ×2

=180

8 0

2 years ago

X: x is a positive counting number less 25}

rewona [7]

Answer:

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

Step-by-step explanation:

Let the given set is A

A = {x: x is a positive counting number less 25}

The set of natural numbers is often termed as the Counting number set.

As the counting numbers are less than 25.

Thus,

Set A will be:

$A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}$

The Cardinality of the set

The Cardinality of the set represents the total number of elements in a given set.

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

3 0

2 years ago

A dodecahedron is a Platonic solid with a surface that consists of 12 pentagons, each of equal area. By how much does the surfac

Nastasia [14]

Answer:

12 times 2 since it doubles every time I'm not that sure so if I am not correct my bads

4 0

2 years ago

Z 3 - 2z 2 + 9z - 18.

aev [14]

group the 1st 2 terms and last 2 terms:

(Z63 -2z^2) + (9z-18)

factor out GCF:

z^2(z-2) + 9(z-2)

now factor the polynomial:

(z-2) (z^2+9)

5 0

2 years ago

Read 2 more answers

Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option B. AA

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by AA theorem.

So, correct answer is option B. AA

7 0

2 years ago