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tamaranim1 [39]
3 years ago
6

What is value of x? Enter your answer in the box. x =

Mathematics
1 answer:
Maslowich3 years ago
8 0

Answer:

x = 10

Step-by-step explanation:

Since the line from A is an angle bisector the following ratios are equal

\frac{AB}{AC} = \frac{x+4}{2x+1}, that is

\frac{8}{12} = \frac{x+4}{2x+1} ( cross- multiply )

8(2x + 1) = 12(x + 4) ← distribute both sides )

16x + 8 = 12x + 48 ( subtract 12x from both sides )

4x + 8 = 48 ( subtract 8 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10


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You have 2 2/3 cups of dried fruit to share evenly among five children. How many cups of fruit will each child receive.
Mice21 [21]
2 2/3 = [(2*3)+2]/3 =8/3
(8/3)/5=8/(3*5)=8/15
4 0
2 years ago
SSHA scores Here are the scores on the Survey of Study Habits and Attitudes (SSHA) for 18 first-year college women:154 109 137 1
mihalych1998 [28]

Answer:

Women has better study habit than men.

Step-by-step explanation:

For knowing who has better study habits and attitudes toward learning we have to find the mean of both the women and men data.

The first step is that we only take first 18 values of both women(X) and men(Y) data, to make them of same length

Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.  

Calculating all values:

\bar{X} = 141.0556

\bar{Y} = 121.25

Thus, women has better study habit than men. Since Mean of X is larger than Mean of Y.

5 0
3 years ago
Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week but is paid a commission on
Luba_88 [7]

Answer:  Natalie make $ 367.5 in a week  in which she made $225 in sales .

Natalie make $ ( 300+x ) in a week  in which she made $ x  in sales .

Step-by-step explanation:

Base Salary of Natalie =  $300

Also, she gets 30% of the her total sales for the week.

If total sales in a week = $225

commission = 30% of $225

= $ ( 0.30 × 225)

= $ 67.5

Natalie got = Base Salary  + Commission

= $300 + $ 67.5

= $ 367.5

∴ Natalie make $ 367.5 in a week  in which she made $225 in sales .

If total sales in a week = $x

commission = 30% of $x

= $ ( 0.30 × x)

= $ 0.30 x

Natalie got = Base Salary  + Commission

= $ ( 300+x )

∴ Natalie make $ ( 300+x ) in a week  in which she made $ x  in sales .

7 0
3 years ago
25 degrees decreased by 60%
photoshop1234 [79]

Answer:

25 degrees decreased by 60% is 10

7 0
3 years ago
Is it greater than, Less than, or equal to?
frosja888 [35]
The answer is greater than
5 0
3 years ago
Read 2 more answers
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