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2 years ago

I need help with this problem

Mathematics

1 answer:

stellarik [79]2 years ago

3 0

Answer:

X=-2

Step-by-step explanation:

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_____ appear to never cross or meet and are always the same distance apart

Akimi4 [234]

Answer: parallel lines

Step-by-step explanation:

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3 years ago

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A florist has to choose four different types of flowers to include in a bouquet. In how many ways can the florist do this, if th

Nat2105 [25]

Answer:

Step-by-step explanation:

Given:

Type of Flowers = 5

To choose = 4

Required

Number of ways 4 can be chosen

The first flower can be chosen in 5 ways

The second flower can be chosen in 4 ways

The third flower can be chosen in 3 ways

The fourth flower can be chosen in 2 ways

Total Number of Selection = 5 * 4 * 3 * 2

Total Number of Selection = 120 ways;

Alternatively, this can be solved using concept of Permutation;

Given that 4 flowers to be chosen from 5,

then n = 5 and r = 4

Such that

$nPr = \frac{n!}{(n - r)!}$

Substitute 5 for n and 4 for r

$5P4 = \frac{5!}{(5 - 4)!}$

$5P4 = \frac{5!}{1!}$

$5P4 = \frac{5*4*3*2*1}{1}$

$5P4 = \frac{120}{1}$

$5P4 = 120$

Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways

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3 years ago

If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle isosceles?

Ne4ueva [31]

Answer:

True

Step-by-step explanation:

The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.

Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.

We need to show that A = 180 - 2B for an isoceles triangle

The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.

Since this half triangle is a right-angled triangle, the third angle in it is 90.

So, A/2 + B + 90 = 180 (Sum of angles in a triangle)

subtracting 90 from both sides, we have

A/2 + B + 90 - 90 = 180 - 90

A/2 + B = 90

subtracting B from both sides, we have

A/2 + B = 90

A/2 = 90 - B

multiplying through by 2, we have

A = 2(90 - B)

A = 180 - 2B

Since A = 180 - 2B, then our triangle is an isosceles triangle.

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2 years ago

What is the expanded form of the decimal 444.3? A) (4 x 100) + (4 x 10) + (4 x 1) + (3 x 1 10 ) B) (4 x 100) + (4 x 10) + (4 x 1

Tpy6a [65]

444.3 = (4 x 100) + (4 x 10) + (4 x 1) + (3 x 1 /10 )

Answer

A. (4 x 100) + (4 x 10) + (4 x 1) + (3 x 1 /10 )

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2 years ago

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Jake draws A POR on the coordinate plane

Vaselesa [24]

The answer is c18.71

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2 years ago

I need help with this problem ​

I need help with this problem