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Diano4ka-milaya [45]

3 years ago

14

Find the value of x. Then find the measure of each labeled angle.

1 answer:

adell [148]3 years ago

4 0

Answer:

x = 111

Step-by-step explanation:

x + x - 42 = 180 {Lines are parallel. So, they are supplementary}

2x - 42 = 180

Add 42 to both sides

2x - 42 + 42 = 180 + 42

2x = 222 {Divide both sides by 2}

x = 222/2

x = 111

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ElenaW [278]

Answer:11/1 11/2 11/3 11/4 11/5 /6

Step-by-step explanation:

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3 years ago

It is recommended that backpackers should carry no more than 20% of their body weight on long hikes and no more than 10% of thei

Triss [41]

Answer:

10= hikers 160= pounds carried in items or gear X divided by P = amount of pounds of items each hiker carries.

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Step-by-step explanation:

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3 years ago

A basketball coach kept stats for his team in free throw percentage and steals (among others). At the last game, Erin's free thr

Setler79 [48]

Answer:

Due to the higher z-score, she did better in the free throw category.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

She did better in the category that she had the higher z-score:

Free-throws:

Her free throw percentage was 79%, which means that $X = 79$

The team averaged 87% from the free throw line with a standard deviation of 12, which means that $\mu = 87, \sigma = 12$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{79 - 87}{12}$

$Z = -0.67$

Steals:

She had 4 steals, which means that $X = 4$

Averaged 7 steals with a standard deviation of 3, which means that $\mu = 7, \sigma = 3$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{4 - 7}{3}$

$Z = -1$

Due to the higher z-score, she did better in the free throw category.

6 0

3 years ago

Hello, id like to order3 halves of a cupcake for my family plus some extra for my 2 friends.

Sholpan [36]

Answer:

They'll each want a quarter of a cupcake.

Step-by-step explanation:

8 0

2 years ago

The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have

$DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute

$A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0

3 years ago