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MatroZZZ [7]
2 years ago
15

Find the value of x.6 3 2 x​

Mathematics
1 answer:
love history [14]2 years ago
3 0

Answer:

x=4

Step-by-step explanation:

To solve this problem, one must use the angle bisector theorem. This theorem provides a proportion between the sides formed by an angle bisector. One can apply this theorem here by forming the following proportion,

\frac{BA}{BC}=\frac{AD}{DC}

Substitute,

\frac{x}{6}=\frac{2}{3}

Cross products,

3(x)=2(6)

Simplify,

3x=12

Inverse operations,

3x=12\\\\x = 4

You might be interested in
Need help again asap please! Find the sum of the first 30 terms of the sequence below an=3n+2
hoa [83]

S_{30} = 1455

generate a few terms of the sequence using a_{n} = 3n + 2

a_{1} = ( 3 × 1) + 2 = 5

a_{2} = (3 × 2) + 2 = 8

a_{3} = (3 × 3 ) + 2 = 11

a_{4} = (3 × 4 ) + 2 = 14

a_{5} = ( 3 × 5 ) + 2 = 17

the terms are 5, 8, 11, 14, 17

these are the terms of an arithmetic sequence

sum to n terms is calculated using S_{n} = \frac{n}{2} [ 2a + (n-1)d]

where a is the first term and d the common difference

d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and a_{1} = 5

S_{30} = \frac{30}{2} [( 2 × 5) + (29 × 3) ]

= 15( 10 + 87) = 15 × 97 = 1455



3 0
3 years ago
Read 2 more answers
B
Alenkinab [10]

Answers:  

hypotenuse = 20 feet

longer leg = 16 feet

======================================================

Explanation:

c = x = length of the hypotenuse

a = x-4 = length of one of the legs

b = 12 = length of the other leg

Use the pythagorean theorem

a^2 + b^2 = c^2

12^2 + (x-4)^2 = (x)^2

144 + x^2 - 8x + 16 = x^2

144 - 8x + 16 = 0 .... the x^2 terms cancel

160-8x = 0

160 = 8x

8x = 160

x = 160/8

x = 20 is the hypotenuse

x-4 = 20-4 = 16 is the longer leg

--------

Check:

12^2+16^2 = 144+256 = 400

20^2 = 400

Since 12^2+16^2 = 20^2 is true, this means we have a right triangle with legs of 12 and 16, while the hypotenuse is 20. The answer is confirmed.

6 0
2 years ago
A point with coordinates (a, b) is plotted on a coordinated plane. The values of a and b can be any positive or negative integer
natali 33 [55]

Answer:

I think it's x-axis.

Step-by-step explanation:

but me could me wrong

3 0
3 years ago
6. A part time job offer has the following availability: 4 hours Monday through Wednesday, 5 hours Thursday, and 4 hours Friday.
Kruka [31]

Answer:

$97.50 per week and $2100

Step-by-step explanation:

1. The total number of hours worked for a week is 4 + 5 + 4 which is 13. 13 hours multiplied by $7.50 per hour is $97.50 per week.

2. If $350 is 1/6 of her total monthly pay then multiply $350 by 6 to get the monthly total pay. $350 * 6 = $2100

7 0
2 years ago
True or False: The dependent variable is normally found on the horizontal axis of line graphs, bar graphs, and pictographs. True
matrenka [14]

Answer:

False.

Step-by-step explanation:

That is false. For y = x^2 the dependent variable is y.  The vertical axis  is used for the dependent variable.

3 0
3 years ago
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