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3 years ago

Simplify the expression: 2x( 4x + 5) A 622 + 72 B 82 + 5 C 812 + 103 D O81 +10

Mathematics

1 answer:

nexus9112 [7]3 years ago

3 0

Answer:

=8x2+10x

Step-by-step explanation:

2x(4x+5)

=(2x)(4x+5)

=(2x)(4x)+(2x)(5)

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Choose all the options that describe the result of the multiplication

Anna35 [415]

A, B and c are all answers

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3 years ago

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8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

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3 years ago

What is the probability of rolling a number greater than or equal to 8 with the sum of two dice, given that at least one of the

amid [387]

Answer:

a dice goes from 1-6

6+1=7

6+2=8

6+3=9

6+4=10

6+5=11

6+6=12

Of those possible choices, 5 are greater than or equal to 8. So the answer is 5/6.

mark brainiest please

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3 years ago

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What do i do for this problem

Margaret [11]

The answer would be 20.

The question is asking you to find the value of the expression for when c = 100, so we have to put 100 where c is in the equation. Given that fact, we start with c/5, then put the 100 in for c.
c/5 = ??
100/5 = 20.

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3 years ago

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Select all of the following that are quadratic equations.

goldenfox [79]

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

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3 years ago