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Dafna11 [192]
3 years ago
10

11 + 4x = 16 + 3x what is the value of x

Mathematics
2 answers:
coldgirl [10]3 years ago
8 0

Answer:

x=5

Step-by-step explanation:

Charra [1.4K]3 years ago
4 0

Answer:

X=5

Step-by-step explanation:

subtract 3x on both sides so you you can get X on one side

1x+11=16

subtract 11 on both sides to get 1X=5 and you dived both sides by 1 and you get X=5

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Find the area of the regular polygon below. leave your answer in simplest radical form.
Licemer1 [7]

Answer:

384√3 in²

Step-by-step explanation:

Given in the question a regular 6 sided polygon

To find it's area you have to use the following formula

<h3>      1/2 x perimeter x apothem</h3>

<em>Perimeter = the sum of the lengths of all the sides </em>

<em>Suppose length of one side = x</em>

<em>Apothem = a segment that joins the polygon's centre to the midpoint of any side that is perpendicular to that side = 8√3</em>

<em />

Since the polygon have 6 sides so

perimeter = 6x

<h3>x = 2(8√3)/√3</h3>

x = 2(8)

x = 16

perimeter = 6(16) = 96 in

plug values in the formula of area

<h3>1/2 x 96 x 8√3</h3>

384√3 in²

6 0
4 years ago
Read 2 more answers
Ben claims that the points (2. 4), (4, 8) and (8, 12) tie on a line. Show that Ben is incorrect.
NeX [460]
Find the slope(s) twice, first the slope of the line connecting (2,4) and (4,8) and then the slope of the line connecting (2,4) and (8,12).  If you get different slopes, then it'd be safe for you to conclude that the points do not lie on the same line.

7 0
3 years ago
From a box containing 10 cards numbered 1 to 10, four cards are drawn together. The probability that their sum is even is 21 21
ankoles [38]

Answer:

Step-by-step explanation:

We know that between 1 to 10 there are 5 even and 5 odd numbers.

We could get 4 even cards , 4 odd cards or 2 odd and 2 even cards

Let´s check all this combinations

Case 1: When all 4 numbers are even:  

We are going to take 4 of the 5 even numbers in the box so we have

5C4=5

Case 2: When all 4 numbers are odd:  

We are going to take 4 of the 5 odd numbers in the box, so we have

5C4=5

Case 3: When 2 are even and 2 are odd:

We are giong to take 2 from 5 even and odd cards in the box so we have

 

5C2 * 5C2

Remember that we obtain the probability from

\frac{Number-of-favourable-Outcome}{Total-number-of-outcomes}

So we have the number of favourable outcomes but we need the Total cases for drawing four cards, so we have that:  

We are taking 4 of the 10 cards:

10C_4=210

Hence we have that the probability that their sum is even

\frac{5+5+100}{210}=\frac{11}{21}

8 0
3 years ago
Which of the following equations models the relationship of angle A to the length of the line segment BC in the figure below.
Anastasy [175]
Let the line segment BD be x, then sin A = x/15
or, x = 15sinA
Also y^{2} =  x^{2} + (25)^{2}  \\ =  (15sinA)^{2} + 625 \\ =225 sin^{2} A+625 \\ y= \sqrt{225 sin^{2} A+625} &#10;
The last option
3 0
3 years ago
Drew collins purchased a new treadmill for $1,662. He made 15% down payment and financed the remainder. What amount did he finan
BigorU [14]
Given that Collins made 15% down payment, the amount to be financed will be given by:
(Price of treadmill)-(down payment)
down payment=15/100×1662
=$249.3
thus the amount to be financed will be:
1662-249.3
=$1412.7
8 0
3 years ago
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