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Andreyy89
3 years ago
12

Here are six cards arrange the card into three pairs with the same total -4 -2 -1 5 6 8

Mathematics
2 answers:
NeX [460]3 years ago
6 0

8,-4

6,-2

and

5,-1

They all will equal 4. Hope this helps.

GarryVolchara [31]3 years ago
6 0

Answer:

(-4,8),(-2,6),(-1,5)

Step-by-step explanation:

There are six cards numbered -4,-2,-1,5,6,8

The cards need to be arranged into 3 pairs such that the sum of each pair is the same.

Note that the numbers are arranged in ascending order and include equal number of positive and negative integers. For the required property to be satisfied, largest positive card needs to be paired with largest negative card ; smallest positive card needs to be paired with smallest negative card and the middle positive card needs to be paired with middle negative card.

So the pairing will be as follows:

(-4,8),(-2,6),(-1,5)

Note that the sum of each of these pairs is 4.

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State whether the following statements are true or false, and explain your reasoning.
Masja [62]

Answer:

Step-by-step explanation:

a) A square is a rectangle.   True

Reason: Property of Rectangle: (i) Opposite sides are equal and parallel. (ii) Each angle is 90 (iii) Diagonals are equal and bisect each other.

A square hold all these properties. A square is  a rectangle.

b) A polygon with 21 sides has 432 possible diagonals. False

Reason: Number of diagonals of a polygon = \frac{n(n-3)}{2}

n --> number of sides of a polygon.

= \frac{21*18}{2} = 189 diagonals

c) All three angles in an Isosceles triangle are equal. False

Reason: In an isosceles triangle, two angles are equal.

If three angles are equal, then that is an equilateral triangle.

d) The measures of the exterior angles of a nonagon, a nine-sided figure, have a sum of 360°. True.

Reason: The sum of measures of the exterior angles  of any polygon is 360

6 0
3 years ago
Read 2 more answers
We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden
True [87]

Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In this problem, we have that:

p = 0.5, M = 0.1

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}

0.1\sqrt{n} = 0.98

\sqrt{n} = 9.8

(\sqrt{n})^{2} = (9.8)^{2}

n = 96

The minimum number of cities we need to contact is 96.

8 0
3 years ago
A projector displays an image on a wall. the area(in square feet) of the rectangular projection can be represented by
andrew-mc [135]

Answer:

The height of the projection will be (x - 5) feet.

Step-by-step explanation:

A projector displays an image on a wall. The area (in square feet) of the rectangular projection can be represented by (x² - 8x + 15).

Now to get the width and the height of the rectangular projection we have to factorize the expression (x² - 8x + 15).

Here, (x² - 8x + 15)

= x² - 3x - 5x + 15

= (x- 3)(x - 5)

Now, if the height of the projection is less than its width then, the height of the projection will be (x - 5) feet. (Answer)

3 0
3 years ago
Pls help. What is the appropriate congruent for these triangles
tekilochka [14]

Answer:

ASA

Step-by-step explanation:

In given triangle

Line BC = Line QR

Angle ABC = Angle PQR

Angle ACB = Angle PRQ

Computation:

Angle ABC = Angle PQR (Angle)

Line BC = Line QR (Side)

Angle ACB = Angle PRQ (Angle)

So,

ΔABC ≅ ΔPQR

By Angle Side Angle property

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5 0
3 years ago
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lianna [129]

Answer with explanation:

In Δ ABC and ΔD BC

∠A=∠D-------Given

∠ABC=∠DCB-------Each being 90° given in the Diagram.

Side, BC is Common.

⇒⇒Δ ABC ≅ ΔD BC-------[AAS]

When two triangles are congruent , their areas are equal.

So, Area(ABC)=Area (DCB)

Option B :⇒ A AS

3 0
3 years ago
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