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2 years ago

4 x (58 x 25) = 4 x (25 x ) = ( x ) x 58 = __

Mathematics

2 answers:

Fittoniya [83]2 years ago

4 0

Answer:

1(q). 4 x (58 x 25) = 4 x (25 x __) = (__ x __) x 58 = ____

1(a). this problem cannot be solved

2(q). (293 x 50) x 20 = 293 x (50 x __)

2(a). (picture)

xeze [42]2 years ago

4 0

Confirming to say the anwser is B Brainliest please :) <3

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Given sets A and B, prove that the following two conditions are equivalent: (1) A \ B = B \ A, (2) A = B.

Jet001 [13]

Answer:

See proof below

Step-by-step explanation:

Remember that if we want to prove that two propositions P and Q are equivalent, we have to prove that P implies Q and Q implies P.

(1)→(2) Suppose that A \ B = B \ A, we will prove that A = B. Let x∈A, and for the sake of a contradiction suppose that x∉B. Then x∈A \ B by definition of difference of sets. Since A \ B = B \ A and x∈A \ B then x∈B \A, that is, x∈B and x∉A, which is a contradiction to the first assumption regarding x. Therefore x∈B, for all x∈A, which implies that A⊆B.

We can use a similar argument to prove that B⊆A, and both inclusions imply that A=B as we wanted to prove. Indeed, let x∈B, and suppose that x∉A Thus x∈B \ A. But A \ B = B \ A, then x∈A \B, that is, x∈A and x∉B, which is absurd. Then x∈A, for all x∈B, that is, B⊆A.

(2)→(1). Suppose that A = B. We will prove that A \ B = B \ A. By definition, A \ B is the set of elements of A that do not belong to B. However, A=B, so A \ B is the set of elements of A that do not belon to A. There no exists such an element, since this condition is contradictory, thus A \ B=∅, the empty set. Similarly, B \ A = B \ B = ∅. The empty set is unique, therefore A \ B=∅= B \ A.

The previous parts show that (1) and (2) are logically equivalent.

7 0

2 years ago

katrin2010 [14]

Answer:

gcjhgfjhg

Step-by-step explanation:

jhgfygfyitgv

3 0

2 years ago

Find the equation of a line perpendicular to y = -3 passing through the coordinate (2, 6).

Vlad [161]

Answer:

for two lines to be perpendicular m2 = -1/m2

using the formula y= mx+c

m1 = 0

for the lines to be perpendicular to each other(m2 = -1/0 )

Note: -1/0 is undefined

using the formula y-y1 = m(x-x1)

y -6 = -1/0(x-2)

cross multiply

0 = -1(x-2)

0 = -x+2

x =2(equation of the line)

6 0

2 years ago

mafiozo [28]

Answer:

$x$ = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of $x$ , we need to add together all the interior angles and equal it to 720, then solve for $x$ .

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°

Therefore:

A + B + C + D + E + F = 720

(10 $x$ - 5) + 108 + (8 $x$ - 3) + (14 $x$ - 25) + 133 + 128 = 720

Collect like terms:

10 $x$ + 8 $x$ + 14 $x$ - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32 $x$ + 336 = 720

Subtract 336 from both sides:

32 $x$ = 384

Divide both sides by 32:

$x$ = 12

8 0

2 years ago

The length of a rectangle is twice as long as the width of the rectangle.

Rashid [163]

Answer: length = 8cm

Width = 4cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x

Note that, Area of a rectangle = Length × Width

Therefore,

2x × x = 32

2x² = 32

Divide both side by 2

2x²/2 = 32/2

x² = 16

x = ✓16

x = 4

Therefore, width = 4cm

Since length = 2x

Length = 2 × 4cm = 8cm

Check: length × width = Area

8cm × 4cm = 32cm²

8 0

2 years ago